Color SU(3) symmetry, confinement, stability, clustering and quark mass dependence in the q(4)q(-) system
Апстракт
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.
Извор:
Physical Review D, 2006, 73, 3
DOI: 10.1103/PhysRevD.73.034014
ISSN: 1550-7998
WoS: 000235669500029
Scopus: 2-s2.0-33244487256
Колекције
Институција/група
VinčaTY - 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 . .