TY  - JOUR
AU  - Dmitrasinovic, V
PY  - 2006
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/3001
AB  - We review the theoretical and experimental evidence for the candidacy of the D*(sJ)(2317)(+) and the D*(J)(2308) for charmed tetraquarks. We briefly review the t Hooft interactions influence on the single-charm (C = 1) (cqq(-2)) tetraquark mass spectrum: its consequences for other observed mesons such as the D*(sJ) (2632), as well as its predictions of the (thus far) unobserved exotic tetraquark states. In particular we show that the small D*(sJ)(2317)(+) - D*(J)(2308) mass difference is naturally predicted by the tetraquark model, within the present experimental error bars, and thus may constitute the first smoking gun evidence for tetraquark existence. A short outlook of the possible future research directions is given.
T2  - Modern Physics Letters A
T1  - D*(sJ) (2317) and D*(J)(2308) as candidates for open-charm tetraquarks
VL  - 21
IS  - 7
SP  - 533
EP  - 548
DO  - 10.1142/S0217732306019827
ER  - 

@article{
author = "Dmitrasinovic, V",
year = "2006",
abstract = "We review the theoretical and experimental evidence for the candidacy of the D*(sJ)(2317)(+) and the D*(J)(2308) for charmed tetraquarks. We briefly review the t Hooft interactions influence on the single-charm (C = 1) (cqq(-2)) tetraquark mass spectrum: its consequences for other observed mesons such as the D*(sJ) (2632), as well as its predictions of the (thus far) unobserved exotic tetraquark states. In particular we show that the small D*(sJ)(2317)(+) - D*(J)(2308) mass difference is naturally predicted by the tetraquark model, within the present experimental error bars, and thus may constitute the first smoking gun evidence for tetraquark existence. A short outlook of the possible future research directions is given.",
journal = "Modern Physics Letters A",
title = "D*(sJ) (2317) and D*(J)(2308) as candidates for open-charm tetraquarks",
volume = "21",
number = "7",
pages = "533-548",
doi = "10.1142/S0217732306019827"
}

Dmitrasinovic, V.. (2006). D*(sJ) (2317) and D*(J)(2308) as candidates for open-charm tetraquarks. in Modern Physics Letters A, 21(7), 533-548.
https://doi.org/10.1142/S0217732306019827

Dmitrasinovic V. D*(sJ) (2317) and D*(J)(2308) as candidates for open-charm tetraquarks. in Modern Physics Letters A. 2006;21(7):533-548.
doi:10.1142/S0217732306019827 .

Dmitrasinovic, V, "D*(sJ) (2317) and D*(J)(2308) as candidates for open-charm tetraquarks" in Modern Physics Letters A, 21, no. 7 (2006):533-548,
https://doi.org/10.1142/S0217732306019827 . .

TY  - JOUR
AU  - Dmitrasinovic, V
AU  - Toki, H
PY  - 2006
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2971
AB  - We make a critical comparison of several versions of instanton-induced interactions present in the literature, all based on ITEP groups extension to three colours and flavours of t Hoofts effective lagrangian, with the predictions of the phenomenological Kobayashi-Kondo-Maskawa (KKM) chiral quark lagrangian. We analyze the effects of all versions of the effective U-A(1) symmetry breaking interactions on light hadron spectra in the non-relativistic constituent quark model. We show that the KKMT force, when used as a residual hyperfine interaction reproduces the correct ordering of pseudoscalar and vector mesons even without explicitly taking chiral symmetry into account. Moreover, the nucleon spectra are also correctly reproduced, only the Roper resonance remains too high, albeit lower than usual, at 1660 MeV. The latters lower than expected mass is not due to a small excitation energy, as in the Glozman-Riska (GR) model, but to a combination of colour, flavour, and spatial wave function properties that enhance the relevant matrix elements. The KKMT interaction explicitly depends on flavour and spin of the quarks, but unlike the GR flavour-spin one it has a firm footing in QCD. In the process we provide several technical advances, in particular we show the first explicit derivation of the three-body Fierz transformation and apply it to the KKM interaction. We also discuss the ambiguities associated with the colour degree of freedom. (c) 2005 Published by Elsevier Inc.
T2  - Annals of Physics
T1  - Light hadron spectra in the constituent quark model with the Kobayashi-Kondo-Maskawa-t Hooft effective U-A(1) symmetry breaking interaction
VL  - 321
IS  - 2
SP  - 355
EP  - 401
DO  - 10.1016/j.aop.2005.07.002
ER  - 

@article{
author = "Dmitrasinovic, V and Toki, H",
year = "2006",
abstract = "We make a critical comparison of several versions of instanton-induced interactions present in the literature, all based on ITEP groups extension to three colours and flavours of t Hoofts effective lagrangian, with the predictions of the phenomenological Kobayashi-Kondo-Maskawa (KKM) chiral quark lagrangian. We analyze the effects of all versions of the effective U-A(1) symmetry breaking interactions on light hadron spectra in the non-relativistic constituent quark model. We show that the KKMT force, when used as a residual hyperfine interaction reproduces the correct ordering of pseudoscalar and vector mesons even without explicitly taking chiral symmetry into account. Moreover, the nucleon spectra are also correctly reproduced, only the Roper resonance remains too high, albeit lower than usual, at 1660 MeV. The latters lower than expected mass is not due to a small excitation energy, as in the Glozman-Riska (GR) model, but to a combination of colour, flavour, and spatial wave function properties that enhance the relevant matrix elements. The KKMT interaction explicitly depends on flavour and spin of the quarks, but unlike the GR flavour-spin one it has a firm footing in QCD. In the process we provide several technical advances, in particular we show the first explicit derivation of the three-body Fierz transformation and apply it to the KKM interaction. We also discuss the ambiguities associated with the colour degree of freedom. (c) 2005 Published by Elsevier Inc.",
journal = "Annals of Physics",
title = "Light hadron spectra in the constituent quark model with the Kobayashi-Kondo-Maskawa-t Hooft effective U-A(1) symmetry breaking interaction",
volume = "321",
number = "2",
pages = "355-401",
doi = "10.1016/j.aop.2005.07.002"
}

Dmitrasinovic, V.,& Toki, H.. (2006). Light hadron spectra in the constituent quark model with the Kobayashi-Kondo-Maskawa-t Hooft effective U-A(1) symmetry breaking interaction. in Annals of Physics, 321(2), 355-401.
https://doi.org/10.1016/j.aop.2005.07.002

Dmitrasinovic V, Toki H. Light hadron spectra in the constituent quark model with the Kobayashi-Kondo-Maskawa-t Hooft effective U-A(1) symmetry breaking interaction. in Annals of Physics. 2006;321(2):355-401.
doi:10.1016/j.aop.2005.07.002 .

Dmitrasinovic, V, Toki, H, "Light hadron spectra in the constituent quark model with the Kobayashi-Kondo-Maskawa-t Hooft effective U-A(1) symmetry breaking interaction" in Annals of Physics, 321, no. 2 (2006):355-401,
https://doi.org/10.1016/j.aop.2005.07.002 . .

TY  - JOUR
AU  - Dmitrasinovic, V
PY  - 2006
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2983
AB  - We examine the color SU(3) dynamics of q(4)(q) over bar system, i.e. of the pentaquark. First we study this system in the model with two-body interaction proportional to the color charges. We construct the potential matrix and show (1) Confinement: the color singlet q (q) over bar potential energy rises infinitely with the separation distance, (2) Stability: All colorless states energies are bounded from below, (3) Color singlet clustering: the pentaquark color-singlet state Hamiltonian turns into a sum of a three-quark (baryon) and a quark-antiquark (meson) cluster Hamiltonian, in the limit of asymptotically large separations. We evaluate the four excitation eigenfrequencies of pentaquarks in the harmonic oscillator two-body confining potential and the ground states dependence on the quark-antiquark mass ratio. We show that the pentaquark is unlikely to bind even with a top antiquark, in contrast to tetraquarks.
T2  - Physical Review D
T1  - Color SU(3) symmetry, confinement, stability, clustering and quark mass dependence in the q(4)q(-) system
VL  - 73
IS  - 3
DO  - 10.1103/PhysRevD.73.034014
ER  - 

@article{
author = "Dmitrasinovic, V",
year = "2006",
abstract = "We examine the color SU(3) dynamics of q(4)(q) over bar system, i.e. of the pentaquark. First we study this system in the model with two-body interaction proportional to the color charges. We construct the potential matrix and show (1) Confinement: the color singlet q (q) over bar potential energy rises infinitely with the separation distance, (2) Stability: All colorless states energies are bounded from below, (3) Color singlet clustering: the pentaquark color-singlet state Hamiltonian turns into a sum of a three-quark (baryon) and a quark-antiquark (meson) cluster Hamiltonian, in the limit of asymptotically large separations. We evaluate the four excitation eigenfrequencies of pentaquarks in the harmonic oscillator two-body confining potential and the ground states dependence on the quark-antiquark mass ratio. We show that the pentaquark is unlikely to bind even with a top antiquark, in contrast to tetraquarks.",
journal = "Physical Review D",
title = "Color SU(3) symmetry, confinement, stability, clustering and quark mass dependence in the q(4)q(-) system",
volume = "73",
number = "3",
doi = "10.1103/PhysRevD.73.034014"
}

Dmitrasinovic, V.. (2006). Color SU(3) symmetry, confinement, stability, clustering and quark mass dependence in the q(4)q(-) system. in Physical Review D, 73(3).
https://doi.org/10.1103/PhysRevD.73.034014

Dmitrasinovic V. Color SU(3) symmetry, confinement, stability, clustering and quark mass dependence in the q(4)q(-) system. in Physical Review D. 2006;73(3).
doi:10.1103/PhysRevD.73.034014 .

Dmitrasinovic, V, "Color SU(3) symmetry, confinement, stability, clustering and quark mass dependence in the q(4)q(-) system" in Physical Review D, 73, no. 3 (2006),
https://doi.org/10.1103/PhysRevD.73.034014 . .

TY  - JOUR
AU  - Dmitrasinovic, V
PY  - 2005
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2882
AB  - We argue that the anomalously small mass difference between the D-s0(+)(2317) and the recently observed D-0(2308) (Belle) state is the first smoking gun experimental evidence of their tetraquark [cq((qq) over bar)] structure. The recently reported D-sJ(+)(2632) (SELEX) state completes the low-lying nonexotic tetraquark spectrum, as predicted by t Hoofts instanton-induced effective quark interaction.
T2  - Physical Review Letters
T1  - D+(s0)(2317)-D-0(2308) mass difference as evidence for tetraquarks
VL  - 94
IS  - 16
DO  - 10.1103/PhysRevLett.94.162002
ER  - 

@article{
author = "Dmitrasinovic, V",
year = "2005",
abstract = "We argue that the anomalously small mass difference between the D-s0(+)(2317) and the recently observed D-0(2308) (Belle) state is the first smoking gun experimental evidence of their tetraquark [cq((qq) over bar)] structure. The recently reported D-sJ(+)(2632) (SELEX) state completes the low-lying nonexotic tetraquark spectrum, as predicted by t Hoofts instanton-induced effective quark interaction.",
journal = "Physical Review Letters",
title = "D+(s0)(2317)-D-0(2308) mass difference as evidence for tetraquarks",
volume = "94",
number = "16",
doi = "10.1103/PhysRevLett.94.162002"
}

Dmitrasinovic, V.. (2005). D+(s0)(2317)-D-0(2308) mass difference as evidence for tetraquarks. in Physical Review Letters, 94(16).
https://doi.org/10.1103/PhysRevLett.94.162002

Dmitrasinovic V. D+(s0)(2317)-D-0(2308) mass difference as evidence for tetraquarks. in Physical Review Letters. 2005;94(16).
doi:10.1103/PhysRevLett.94.162002 .

Dmitrasinovic, V, "D+(s0)(2317)-D-0(2308) mass difference as evidence for tetraquarks" in Physical Review Letters, 94, no. 16 (2005),
https://doi.org/10.1103/PhysRevLett.94.162002 . .

TY  - CONF
AU  - Dmitrasinovic, V
PY  - 2005
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/6543
AB  - We review critically the predictions of pentaquark masses in the quark model, in particular those based on the Glozman-Riska hyperfine interaction. This leads us to the U-A(1) symmetry breaking Kobayashi-Kondo-Maskawa,tHooft interaction. We discuss its phenomenological consequences in pentaquarks.
T1  - Three-quark flavour-dependent force in pentaquarks
SP  - 362
EP  - 369
DO  - 10.1142/9789812701855_0052
ER  - 

@conference{
author = "Dmitrasinovic, V",
year = "2005",
abstract = "We review critically the predictions of pentaquark masses in the quark model, in particular those based on the Glozman-Riska hyperfine interaction. This leads us to the U-A(1) symmetry breaking Kobayashi-Kondo-Maskawa,tHooft interaction. We discuss its phenomenological consequences in pentaquarks.",
title = "Three-quark flavour-dependent force in pentaquarks",
pages = "362-369",
doi = "10.1142/9789812701855_0052"
}

Dmitrasinovic, V.. (2005). Three-quark flavour-dependent force in pentaquarks. , 362-369.
https://doi.org/10.1142/9789812701855_0052

Dmitrasinovic V. Three-quark flavour-dependent force in pentaquarks. 2005;:362-369.
doi:10.1142/9789812701855_0052 .

Dmitrasinovic, V, "Three-quark flavour-dependent force in pentaquarks" (2005):362-369,
https://doi.org/10.1142/9789812701855_0052 . .

TY  - JOUR
AU  - Dmitrasinovic, V
PY  - 2005
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2894
AB  - We review critically the predictions of pentaquarks in the quark model, in particular, those based on the flavor-spin-dependent (Glozman-Riska) hyperfine interaction and the color-spin (one-gluon-exchange Fermi-Breit) one. We include the antiquark interactions and find that: (1) the exotic SU(3) multiplets are not substantialy affected in the flavor-spin model, whereas some of the nonexotic multiplets are; and (2) the variational upper bound on the Xi(--)-Theta(+) mass difference in the color-spin hyperfine interaction model is substantially reduced. This leads us to the U-A(1) symmetry breaking Kobayashi-Kondo-Maskawa-tHooft interaction. We discuss some of its phenomenological consequences for pentaquarks.
T2  - Physical Review D
T1  - Kobayashi-Kondo-Maskawa-t Hooft interaction in pentaquarks
VL  - 71
IS  - 9
DO  - 10.1103/PhysRevD.71.094003
ER  - 

@article{
author = "Dmitrasinovic, V",
year = "2005",
abstract = "We review critically the predictions of pentaquarks in the quark model, in particular, those based on the flavor-spin-dependent (Glozman-Riska) hyperfine interaction and the color-spin (one-gluon-exchange Fermi-Breit) one. We include the antiquark interactions and find that: (1) the exotic SU(3) multiplets are not substantialy affected in the flavor-spin model, whereas some of the nonexotic multiplets are; and (2) the variational upper bound on the Xi(--)-Theta(+) mass difference in the color-spin hyperfine interaction model is substantially reduced. This leads us to the U-A(1) symmetry breaking Kobayashi-Kondo-Maskawa-tHooft interaction. We discuss some of its phenomenological consequences for pentaquarks.",
journal = "Physical Review D",
title = "Kobayashi-Kondo-Maskawa-t Hooft interaction in pentaquarks",
volume = "71",
number = "9",
doi = "10.1103/PhysRevD.71.094003"
}

Dmitrasinovic, V.. (2005). Kobayashi-Kondo-Maskawa-t Hooft interaction in pentaquarks. in Physical Review D, 71(9).
https://doi.org/10.1103/PhysRevD.71.094003

Dmitrasinovic V. Kobayashi-Kondo-Maskawa-t Hooft interaction in pentaquarks. in Physical Review D. 2005;71(9).
doi:10.1103/PhysRevD.71.094003 .

Dmitrasinovic, V, "Kobayashi-Kondo-Maskawa-t Hooft interaction in pentaquarks" in Physical Review D, 71, no. 9 (2005),
https://doi.org/10.1103/PhysRevD.71.094003 . .

TY  - JOUR
AU  - Dmitrašinović, V.
PY  - 2004
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2774
T2  - Journal of Mathematical Physics
T1  - Erratum: Three-quark exchange operators, crossing matrices and Fierz transformations in SU(2) and SU(3) [J. Math. Phys. 42, 991 (2001)]
VL  - 45
IS  - 7
SP  - 2988
EP  - 2989
DO  - 10.1063/1.1763248
ER  - 

@article{
author = "Dmitrašinović, V.",
year = "2004",
journal = "Journal of Mathematical Physics",
title = "Erratum: Three-quark exchange operators, crossing matrices and Fierz transformations in SU(2) and SU(3) [J. Math. Phys. 42, 991 (2001)]",
volume = "45",
number = "7",
pages = "2988-2989",
doi = "10.1063/1.1763248"
}

Dmitrašinović, V.. (2004). Erratum: Three-quark exchange operators, crossing matrices and Fierz transformations in SU(2) and SU(3) [J. Math. Phys. 42, 991 (2001)]. in Journal of Mathematical Physics, 45(7), 2988-2989.
https://doi.org/10.1063/1.1763248

Dmitrašinović V. Erratum: Three-quark exchange operators, crossing matrices and Fierz transformations in SU(2) and SU(3) [J. Math. Phys. 42, 991 (2001)]. in Journal of Mathematical Physics. 2004;45(7):2988-2989.
doi:10.1063/1.1763248 .

Dmitrašinović, V., "Erratum: Three-quark exchange operators, crossing matrices and Fierz transformations in SU(2) and SU(3) [J. Math. Phys. 42, 991 (2001)]" in Journal of Mathematical Physics, 45, no. 7 (2004):2988-2989,
https://doi.org/10.1063/1.1763248 . .

TY  - JOUR
AU  - Dmitrasinovic, V
PY  - 2004
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2830
AB  - We calculate the influence of the t Hooft interaction on the single-charm (C=1) tetraquark (cq (q) over bar (2)) mass spectrum and find that three SU(3)-flavor multiplets (3(A),6,(15) over bar) are significantly lowered, while the LT overline GT 3 LT /overline GT (S)-plet is lifted, as compared with their unperturbed masses. States with the D-s(+) quantum numbers appear in two of the three lowered multiplets. The lower of the two states drops below both of the Okubo-Zweig-Iizuka (OZI)-allowed decay thresholds, thus being identified with D-s(*+)(2320), while the heavier state drops below the eta+D-s(+) threshold, but stays above the K+D one. A signature prediction of this theory is the lowering of the exotic tetraquark 6-plet and (15) over bar -plet: most of these states cannot consist of only one quark and one antiquark. As a test we suggest a search for two quasistable exotic tetraquarks with open-charm and strangeness: the (isotriplet) cs (q) over bar(q) over bar and the (isodoublet) cq (s) over bar(s) over bar.
T2  - Physical Review D
T1  - D-s*(+)(2317) and D-s*(+)(2460): Tetraquarks bound by the t Hooft instanton-induced interaction?
VL  - 70
IS  - 9
DO  - 10.1103/PhysRevD.70.096011
ER  - 

@article{
author = "Dmitrasinovic, V",
year = "2004",
abstract = "We calculate the influence of the t Hooft interaction on the single-charm (C=1) tetraquark (cq (q) over bar (2)) mass spectrum and find that three SU(3)-flavor multiplets (3(A),6,(15) over bar) are significantly lowered, while the LT overline GT 3 LT /overline GT (S)-plet is lifted, as compared with their unperturbed masses. States with the D-s(+) quantum numbers appear in two of the three lowered multiplets. The lower of the two states drops below both of the Okubo-Zweig-Iizuka (OZI)-allowed decay thresholds, thus being identified with D-s(*+)(2320), while the heavier state drops below the eta+D-s(+) threshold, but stays above the K+D one. A signature prediction of this theory is the lowering of the exotic tetraquark 6-plet and (15) over bar -plet: most of these states cannot consist of only one quark and one antiquark. As a test we suggest a search for two quasistable exotic tetraquarks with open-charm and strangeness: the (isotriplet) cs (q) over bar(q) over bar and the (isodoublet) cq (s) over bar(s) over bar.",
journal = "Physical Review D",
title = "D-s*(+)(2317) and D-s*(+)(2460): Tetraquarks bound by the t Hooft instanton-induced interaction?",
volume = "70",
number = "9",
doi = "10.1103/PhysRevD.70.096011"
}

Dmitrasinovic, V.. (2004). D-s*(+)(2317) and D-s*(+)(2460): Tetraquarks bound by the t Hooft instanton-induced interaction?. in Physical Review D, 70(9).
https://doi.org/10.1103/PhysRevD.70.096011

Dmitrasinovic V. D-s*(+)(2317) and D-s*(+)(2460): Tetraquarks bound by the t Hooft instanton-induced interaction?. in Physical Review D. 2004;70(9).
doi:10.1103/PhysRevD.70.096011 .

Dmitrasinovic, V, "D-s*(+)(2317) and D-s*(+)(2460): Tetraquarks bound by the t Hooft instanton-induced interaction?" in Physical Review D, 70, no. 9 (2004),
https://doi.org/10.1103/PhysRevD.70.096011 . .

TY  - JOUR
AU  - Dmitrasinovic, V
PY  - 2003
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2646
AB  - We examine the assumptions underlying the (model-dependent) predictions of q(2)(q) over bar (2) or tetraquark spectra. The models implemented so far have used only two-body interactions proportional to the color charges; that assumption is the source of many serious shortcomings. We extend the analysis to three- and four-body interactions based on color SU(3) algebra, while including all relevant information one has about three-quark forces from lattice QCD. Thus we find that (quasi)stable tetraquarks are not necessarily a consequence of color SU(3) dynamics, let alone of QCD. We make this statement and the conditions under which it holds more precise in the text. In the process we are led to a set of sufficient conditions for a mathematical description of the hadronic world as we know it, i.e., of baryons and q (q) over bar mesons, without going into the question of tetraquark existence. These conditions are as follows. (1) Stability: All the (colorless and colored) states energies must be bounded from below. (2) Confinement: A color singlet q (q) over bar potential energy must (infinitely) rise with the separation distance. (3) Color ordering: Colored states must be heavier than color-neutral ones. (4) Clustering: Any multiquark color-singlet state Hamiltonian must turn into a sum of three-quark (baryons) and quark-antiquark (mesons) cluster Hamiltonians, in the limit of asymptotically large separations. We discuss the consistency of these four requirements with color SU(3) symmetry and with each other.
T2  - Physical Review D
T1  - Color SU(3) symmetry, confinement, stability, and clustering in the q(2)(q)over-bar(2) system
VL  - 67
IS  - 11
DO  - 10.1103/PhysRevD.67.114007
ER  - 

@article{
author = "Dmitrasinovic, V",
year = "2003",
abstract = "We examine the assumptions underlying the (model-dependent) predictions of q(2)(q) over bar (2) or tetraquark spectra. The models implemented so far have used only two-body interactions proportional to the color charges; that assumption is the source of many serious shortcomings. We extend the analysis to three- and four-body interactions based on color SU(3) algebra, while including all relevant information one has about three-quark forces from lattice QCD. Thus we find that (quasi)stable tetraquarks are not necessarily a consequence of color SU(3) dynamics, let alone of QCD. We make this statement and the conditions under which it holds more precise in the text. In the process we are led to a set of sufficient conditions for a mathematical description of the hadronic world as we know it, i.e., of baryons and q (q) over bar mesons, without going into the question of tetraquark existence. These conditions are as follows. (1) Stability: All the (colorless and colored) states energies must be bounded from below. (2) Confinement: A color singlet q (q) over bar potential energy must (infinitely) rise with the separation distance. (3) Color ordering: Colored states must be heavier than color-neutral ones. (4) Clustering: Any multiquark color-singlet state Hamiltonian must turn into a sum of three-quark (baryons) and quark-antiquark (mesons) cluster Hamiltonians, in the limit of asymptotically large separations. We discuss the consistency of these four requirements with color SU(3) symmetry and with each other.",
journal = "Physical Review D",
title = "Color SU(3) symmetry, confinement, stability, and clustering in the q(2)(q)over-bar(2) system",
volume = "67",
number = "11",
doi = "10.1103/PhysRevD.67.114007"
}

Dmitrasinovic, V.. (2003). Color SU(3) symmetry, confinement, stability, and clustering in the q(2)(q)over-bar(2) system. in Physical Review D, 67(11).
https://doi.org/10.1103/PhysRevD.67.114007

Dmitrasinovic V. Color SU(3) symmetry, confinement, stability, and clustering in the q(2)(q)over-bar(2) system. in Physical Review D. 2003;67(11).
doi:10.1103/PhysRevD.67.114007 .

Dmitrasinovic, V, "Color SU(3) symmetry, confinement, stability, and clustering in the q(2)(q)over-bar(2) system" in Physical Review D, 67, no. 11 (2003),
https://doi.org/10.1103/PhysRevD.67.114007 . .

TY  - JOUR
AU  - Dmitrasinovic, V
AU  - Nakamura, I
PY  - 2003
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2640
AB  - We analyze the group-theoretical ramifications of the Nambu-Goldstone (NG) theorem in the self-consistent relativistic variational Gaussian wave functional approximation to spinless field theories. In an illustrative example we show how the Nambu-Goldstone theorem would work in the O(N) symmetric phi(4) scalar field theory, if the residual symmetry of the vacuum were lesser than O(N-1), e.g., if the vacuum were O(N-2), or O(N-3),... symmetric. (This does not imply that any of the lesser vacua is actually the absolute energy minimum: stability analysis has not been done.) The requisite number of NG bosons would be (2N-3), or (3N-6),..., respectively, which may exceed N, the number of elementary fields in the Lagrangian. We show how the requisite new NG bosons would appear even in channels that do not carry the same quantum numbers as one of N elementary particles [scalar field quanta, or Castillejo-Dalitz-Dyson (CDD) poles] in the Lagrangian, i.e., in those flavor channels that have no CDD poles. The corresponding Nambu-Goldstone bosons are composites (bound states) of pairs of massive elementary (CDD) scalar fields excitations. As a nontrivial example of this method we apply it to the physically more interesting t Hooft sigma model (an extended N-f=2 bosonic linear sigma model with four scalar and four pseudoscalar fields), with spontaneously and explicitly broken chiral O(4)xO(2)similar or equal toSU(R)(2)xSU(L)(2)xU(A)(1) symmetry. (C) 2003 American Institute of Physics.
T2  - Journal of Mathematical Physics
T1  - Dynamical symmetry breaking and the Nambu-Goldstone theorem in the Gaussian wave functional approximation
VL  - 44
IS  - 7
SP  - 2839
EP  - 2852
DO  - 10.1063/1.1576907
ER  - 

@article{
author = "Dmitrasinovic, V and Nakamura, I",
year = "2003",
abstract = "We analyze the group-theoretical ramifications of the Nambu-Goldstone (NG) theorem in the self-consistent relativistic variational Gaussian wave functional approximation to spinless field theories. In an illustrative example we show how the Nambu-Goldstone theorem would work in the O(N) symmetric phi(4) scalar field theory, if the residual symmetry of the vacuum were lesser than O(N-1), e.g., if the vacuum were O(N-2), or O(N-3),... symmetric. (This does not imply that any of the lesser vacua is actually the absolute energy minimum: stability analysis has not been done.) The requisite number of NG bosons would be (2N-3), or (3N-6),..., respectively, which may exceed N, the number of elementary fields in the Lagrangian. We show how the requisite new NG bosons would appear even in channels that do not carry the same quantum numbers as one of N elementary particles [scalar field quanta, or Castillejo-Dalitz-Dyson (CDD) poles] in the Lagrangian, i.e., in those flavor channels that have no CDD poles. The corresponding Nambu-Goldstone bosons are composites (bound states) of pairs of massive elementary (CDD) scalar fields excitations. As a nontrivial example of this method we apply it to the physically more interesting t Hooft sigma model (an extended N-f=2 bosonic linear sigma model with four scalar and four pseudoscalar fields), with spontaneously and explicitly broken chiral O(4)xO(2)similar or equal toSU(R)(2)xSU(L)(2)xU(A)(1) symmetry. (C) 2003 American Institute of Physics.",
journal = "Journal of Mathematical Physics",
title = "Dynamical symmetry breaking and the Nambu-Goldstone theorem in the Gaussian wave functional approximation",
volume = "44",
number = "7",
pages = "2839-2852",
doi = "10.1063/1.1576907"
}

Dmitrasinovic, V.,& Nakamura, I.. (2003). Dynamical symmetry breaking and the Nambu-Goldstone theorem in the Gaussian wave functional approximation. in Journal of Mathematical Physics, 44(7), 2839-2852.
https://doi.org/10.1063/1.1576907

Dmitrasinovic V, Nakamura I. Dynamical symmetry breaking and the Nambu-Goldstone theorem in the Gaussian wave functional approximation. in Journal of Mathematical Physics. 2003;44(7):2839-2852.
doi:10.1063/1.1576907 .

Dmitrasinovic, V, Nakamura, I, "Dynamical symmetry breaking and the Nambu-Goldstone theorem in the Gaussian wave functional approximation" in Journal of Mathematical Physics, 44, no. 7 (2003):2839-2852,
https://doi.org/10.1063/1.1576907 . .

TY  - JOUR
AU  - Nakamura, I
AU  - Dmitrasinovic, V
PY  - 2003
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2587
AB  - We show an explicit connection between the solution to the equations of motion in the Gaussian functional approximation [I. Nakamura, V. Dmitrasinovic, Prog. Theor. Phys. 106 (2001) 11951 and the minimum of the (Gaussian) effective potential/action of the linear Sigma model, as well as with the N/D method in dispersion theory. The resulting equations contain analytic functions with branch cuts in the complex mass squared plane. Therefore the minimum of the effective action may lie in the complex mass squared plane. Many solutions to these equations can be found on the second, third, etc. Riemann sheets of the equation, though their physical interpretation is not clear. Our results and the established properties of the S-matrix in general, and of the N/D solutions in particular, guide us to the correct choice of the Riemann sheet. We count the number of states and find only one in each spin-parity and isospin channel with quantum numbers corresponding to the fields in the Lagrangian, i.e., to Castillejo-Dalitz-Dyson (CDD) poles. We examine the numerical solutions in both the strong and weak coupling regimes and calculate the Kallen-Lehmann spectral densities and then use them for physical interpretation. (C) 2002 Elsevier Science B.V. All rights reserved.
T2  - Nuclear Physics A
T1  - Linear Sigma model in the Gaussian wave functional approximation II: analyticity of the S-matrix and the effective potential/action
VL  - 713
IS  - 1-2
SP  - 133
EP  - 147
DO  - 10.1016/S0375-9474(02)01293-9
ER  - 

@article{
author = "Nakamura, I and Dmitrasinovic, V",
year = "2003",
abstract = "We show an explicit connection between the solution to the equations of motion in the Gaussian functional approximation [I. Nakamura, V. Dmitrasinovic, Prog. Theor. Phys. 106 (2001) 11951 and the minimum of the (Gaussian) effective potential/action of the linear Sigma model, as well as with the N/D method in dispersion theory. The resulting equations contain analytic functions with branch cuts in the complex mass squared plane. Therefore the minimum of the effective action may lie in the complex mass squared plane. Many solutions to these equations can be found on the second, third, etc. Riemann sheets of the equation, though their physical interpretation is not clear. Our results and the established properties of the S-matrix in general, and of the N/D solutions in particular, guide us to the correct choice of the Riemann sheet. We count the number of states and find only one in each spin-parity and isospin channel with quantum numbers corresponding to the fields in the Lagrangian, i.e., to Castillejo-Dalitz-Dyson (CDD) poles. We examine the numerical solutions in both the strong and weak coupling regimes and calculate the Kallen-Lehmann spectral densities and then use them for physical interpretation. (C) 2002 Elsevier Science B.V. All rights reserved.",
journal = "Nuclear Physics A",
title = "Linear Sigma model in the Gaussian wave functional approximation II: analyticity of the S-matrix and the effective potential/action",
volume = "713",
number = "1-2",
pages = "133-147",
doi = "10.1016/S0375-9474(02)01293-9"
}

Nakamura, I.,& Dmitrasinovic, V.. (2003). Linear Sigma model in the Gaussian wave functional approximation II: analyticity of the S-matrix and the effective potential/action. in Nuclear Physics A, 713(1-2), 133-147.
https://doi.org/10.1016/S0375-9474(02)01293-9

Nakamura I, Dmitrasinovic V. Linear Sigma model in the Gaussian wave functional approximation II: analyticity of the S-matrix and the effective potential/action. in Nuclear Physics A. 2003;713(1-2):133-147.
doi:10.1016/S0375-9474(02)01293-9 .

Nakamura, I, Dmitrasinovic, V, "Linear Sigma model in the Gaussian wave functional approximation II: analyticity of the S-matrix and the effective potential/action" in Nuclear Physics A, 713, no. 1-2 (2003):133-147,
https://doi.org/10.1016/S0375-9474(02)01293-9 . .

TY  - JOUR
AU  - Dmitrasinovic, V
PY  - 2002
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2511
AB  - We analyze partially conserved axial current in the nonlinear realization of chiral symmetry in nuclear physics. We construct the two-nucleon (meson-exchange) axial currents and associated pion emission and absorption operators and compare them with those derived earlier in the linear sigma model. We show the absence of necessity of meson-exchange currents in the nonlinear model, in contrast with the linear one.
T2  - Physical Review C
T1  - Axial current conservation in nonrelativistic nuclear physics: The nonlinear sigma model
VL  - 65
IS  - 4
DO  - 10.1103/PhysRevC.65.045503
ER  - 

@article{
author = "Dmitrasinovic, V",
year = "2002",
abstract = "We analyze partially conserved axial current in the nonlinear realization of chiral symmetry in nuclear physics. We construct the two-nucleon (meson-exchange) axial currents and associated pion emission and absorption operators and compare them with those derived earlier in the linear sigma model. We show the absence of necessity of meson-exchange currents in the nonlinear model, in contrast with the linear one.",
journal = "Physical Review C",
title = "Axial current conservation in nonrelativistic nuclear physics: The nonlinear sigma model",
volume = "65",
number = "4",
doi = "10.1103/PhysRevC.65.045503"
}

Dmitrasinovic, V.. (2002). Axial current conservation in nonrelativistic nuclear physics: The nonlinear sigma model. in Physical Review C, 65(4).
https://doi.org/10.1103/PhysRevC.65.045503

Dmitrasinovic V. Axial current conservation in nonrelativistic nuclear physics: The nonlinear sigma model. in Physical Review C. 2002;65(4).
doi:10.1103/PhysRevC.65.045503 .

Dmitrasinovic, V, "Axial current conservation in nonrelativistic nuclear physics: The nonlinear sigma model" in Physical Review C, 65, no. 4 (2002),
https://doi.org/10.1103/PhysRevC.65.045503 . .

TY  - JOUR
AU  - Dmitrasinovic, V
PY  - 2001
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2480
AB  - We show that the exact result based on closure, in Section 4.2 of Nucl. Phys. A 537 (1992) 551, that the contribution of all parity admixtures to the elastic parity-violating matrix element of the convection electromagnetic current vanishes is incorrect. (C) 2001 Elsevier Science B.V. All rights reserved.
T2  - Nuclear Physics A
T1  - Erratum: Elastic parity-violating electromagnetic current matrix element of the nucleon in a nonrelativistic quark model (vol A537, pg 551, 1992)
VL  - 696
IS  - 3-4
SP  - 895
EP  - 896
DO  - 10.1016/S0375-9474(01)01241-6
ER  - 

@article{
author = "Dmitrasinovic, V",
year = "2001",
abstract = "We show that the exact result based on closure, in Section 4.2 of Nucl. Phys. A 537 (1992) 551, that the contribution of all parity admixtures to the elastic parity-violating matrix element of the convection electromagnetic current vanishes is incorrect. (C) 2001 Elsevier Science B.V. All rights reserved.",
journal = "Nuclear Physics A",
title = "Erratum: Elastic parity-violating electromagnetic current matrix element of the nucleon in a nonrelativistic quark model (vol A537, pg 551, 1992)",
volume = "696",
number = "3-4",
pages = "895-896",
doi = "10.1016/S0375-9474(01)01241-6"
}

Dmitrasinovic, V.. (2001). Erratum: Elastic parity-violating electromagnetic current matrix element of the nucleon in a nonrelativistic quark model (vol A537, pg 551, 1992). in Nuclear Physics A, 696(3-4), 895-896.
https://doi.org/10.1016/S0375-9474(01)01241-6

Dmitrasinovic V. Erratum: Elastic parity-violating electromagnetic current matrix element of the nucleon in a nonrelativistic quark model (vol A537, pg 551, 1992). in Nuclear Physics A. 2001;696(3-4):895-896.
doi:10.1016/S0375-9474(01)01241-6 .

Dmitrasinovic, V, "Erratum: Elastic parity-violating electromagnetic current matrix element of the nucleon in a nonrelativistic quark model (vol A537, pg 551, 1992)" in Nuclear Physics A, 696, no. 3-4 (2001):895-896,
https://doi.org/10.1016/S0375-9474(01)01241-6 . .

TY  - JOUR
AU  - Nakamura, I
AU  - Dmitrasinovic, V
PY  - 2001
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2489
AB  - We apply a self-consistent relativistic mean-field variational Gaussian functional (or Hartree) approximation to the linear sigma model with spontaneously and explicitly broken chiral O(4) symmetry. We set up the self-consistency, or gap and the Bethe-Salpeter equations. We check and confirm the chiral Ward-Takahashi identities. among them the Nambu-Goldstone theorem and the (partial) axial current conservation (CAC], both in and away from the chiral limit. With explicit chiral symmetry breaking, we confirm the Dashen relation for the pion mass and partial CAC. We solve numerically the gap and Bethe-Salpeter equations, discuss the solutions properties and the. particle content of the theory
T2  - Progress of Theoretical Physics
T1  - Linear Sigma model in the Gaussian functional approximation
VL  - 106
IS  - 6
SP  - 1195
EP  - 1212
DO  - 10.1143/PTP.106.1195
ER  - 

@article{
author = "Nakamura, I and Dmitrasinovic, V",
year = "2001",
abstract = "We apply a self-consistent relativistic mean-field variational Gaussian functional (or Hartree) approximation to the linear sigma model with spontaneously and explicitly broken chiral O(4) symmetry. We set up the self-consistency, or gap and the Bethe-Salpeter equations. We check and confirm the chiral Ward-Takahashi identities. among them the Nambu-Goldstone theorem and the (partial) axial current conservation (CAC], both in and away from the chiral limit. With explicit chiral symmetry breaking, we confirm the Dashen relation for the pion mass and partial CAC. We solve numerically the gap and Bethe-Salpeter equations, discuss the solutions properties and the. particle content of the theory",
journal = "Progress of Theoretical Physics",
title = "Linear Sigma model in the Gaussian functional approximation",
volume = "106",
number = "6",
pages = "1195-1212",
doi = "10.1143/PTP.106.1195"
}

Nakamura, I.,& Dmitrasinovic, V.. (2001). Linear Sigma model in the Gaussian functional approximation. in Progress of Theoretical Physics, 106(6), 1195-1212.
https://doi.org/10.1143/PTP.106.1195

Nakamura I, Dmitrasinovic V. Linear Sigma model in the Gaussian functional approximation. in Progress of Theoretical Physics. 2001;106(6):1195-1212.
doi:10.1143/PTP.106.1195 .

Nakamura, I, Dmitrasinovic, V, "Linear Sigma model in the Gaussian functional approximation" in Progress of Theoretical Physics, 106, no. 6 (2001):1195-1212,
https://doi.org/10.1143/PTP.106.1195 . .

TY  - JOUR
AU  - Dmitrasinovic, V
PY  - 2001
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2414
AB  - Only two-body [F-i.F-j] confining potentials have been considered, thus far, in the quark model without gluons, which by construction can only depend on the quadratic Casimir operator of the colour SU(3) group. A three-quark potential that depends on the cubic Casimir operator is added to the quark model. This results in improved properties of q(3) colour nonsinglet states, which can now be arranged to have (arbitrarily) higher energy than the singlet, and the colour dissolution/anticonfinement problem of the F-i.F-j model is avoided. (C) 2001 Elsevier Science B,V. All rights reserved.
T2  - Physics Letters B
T1  - Cubic Casimir operator of SUc(3) and confinement in the nonrelativistic quark model
VL  - 499
IS  - 1-2
SP  - 135
EP  - 140
DO  - 10.1016/S0370-2693(01)00008-9
ER  - 

@article{
author = "Dmitrasinovic, V",
year = "2001",
abstract = "Only two-body [F-i.F-j] confining potentials have been considered, thus far, in the quark model without gluons, which by construction can only depend on the quadratic Casimir operator of the colour SU(3) group. A three-quark potential that depends on the cubic Casimir operator is added to the quark model. This results in improved properties of q(3) colour nonsinglet states, which can now be arranged to have (arbitrarily) higher energy than the singlet, and the colour dissolution/anticonfinement problem of the F-i.F-j model is avoided. (C) 2001 Elsevier Science B,V. All rights reserved.",
journal = "Physics Letters B",
title = "Cubic Casimir operator of SUc(3) and confinement in the nonrelativistic quark model",
volume = "499",
number = "1-2",
pages = "135-140",
doi = "10.1016/S0370-2693(01)00008-9"
}

Dmitrasinovic, V.. (2001). Cubic Casimir operator of SUc(3) and confinement in the nonrelativistic quark model. in Physics Letters B, 499(1-2), 135-140.
https://doi.org/10.1016/S0370-2693(01)00008-9

Dmitrasinovic V. Cubic Casimir operator of SUc(3) and confinement in the nonrelativistic quark model. in Physics Letters B. 2001;499(1-2):135-140.
doi:10.1016/S0370-2693(01)00008-9 .

Dmitrasinovic, V, "Cubic Casimir operator of SUc(3) and confinement in the nonrelativistic quark model" in Physics Letters B, 499, no. 1-2 (2001):135-140,
https://doi.org/10.1016/S0370-2693(01)00008-9 . .