Pseudoscalar mesons in the SU(3) linear sigma model with Gaussian functional approximation
Апстракт
We study the SU(3) linear sigma model for the pseudoscalar mesons in the Gaussian functional approximation (GFA). We use the SU(3) linear sigma model Lagrangian with nonet scalar and pseudoscalar mesons, including symmetry breaking terms. In the GFA, we take the Gaussian Ansatz for the ground state wave function and apply the variational method to minimize the ground state energy. We derive the gap equations for the dressed meson masses, which are actually just variational parameters in the GFA method. We use the Bethe-Salpeter equation for meson-meson scattering, which provides the masses of the physical nonet mesons. We construct the projection operators for the flavor SU(3) in order to work out the scattering T matrix in an efficient way. In this paper, we discuss the properties of the Nambu-Goldstone bosons in various limits of the chiral U-L(3) x U-R(3) symmetry.
Извор:
Physical Review D, 2010, 82, 3Финансирање / пројекти:
- JSPS [18540269]
DOI: 10.1103/PhysRevD.82.034011
ISSN: 1550-7998; 1550-2368
WoS: 000280850000002
Scopus: 2-s2.0-77956832474
Колекције
Институција/група
VinčaTY - JOUR AU - Chen, Hua-Xing AU - Dmitrasinovic, V. AU - Toki, Hiroshi PY - 2010 UR - https://vinar.vin.bg.ac.rs/handle/123456789/4078 AB - We study the SU(3) linear sigma model for the pseudoscalar mesons in the Gaussian functional approximation (GFA). We use the SU(3) linear sigma model Lagrangian with nonet scalar and pseudoscalar mesons, including symmetry breaking terms. In the GFA, we take the Gaussian Ansatz for the ground state wave function and apply the variational method to minimize the ground state energy. We derive the gap equations for the dressed meson masses, which are actually just variational parameters in the GFA method. We use the Bethe-Salpeter equation for meson-meson scattering, which provides the masses of the physical nonet mesons. We construct the projection operators for the flavor SU(3) in order to work out the scattering T matrix in an efficient way. In this paper, we discuss the properties of the Nambu-Goldstone bosons in various limits of the chiral U-L(3) x U-R(3) symmetry. T2 - Physical Review D T1 - Pseudoscalar mesons in the SU(3) linear sigma model with Gaussian functional approximation VL - 82 IS - 3 DO - 10.1103/PhysRevD.82.034011 ER -
@article{ author = "Chen, Hua-Xing and Dmitrasinovic, V. and Toki, Hiroshi", year = "2010", abstract = "We study the SU(3) linear sigma model for the pseudoscalar mesons in the Gaussian functional approximation (GFA). We use the SU(3) linear sigma model Lagrangian with nonet scalar and pseudoscalar mesons, including symmetry breaking terms. In the GFA, we take the Gaussian Ansatz for the ground state wave function and apply the variational method to minimize the ground state energy. We derive the gap equations for the dressed meson masses, which are actually just variational parameters in the GFA method. We use the Bethe-Salpeter equation for meson-meson scattering, which provides the masses of the physical nonet mesons. We construct the projection operators for the flavor SU(3) in order to work out the scattering T matrix in an efficient way. In this paper, we discuss the properties of the Nambu-Goldstone bosons in various limits of the chiral U-L(3) x U-R(3) symmetry.", journal = "Physical Review D", title = "Pseudoscalar mesons in the SU(3) linear sigma model with Gaussian functional approximation", volume = "82", number = "3", doi = "10.1103/PhysRevD.82.034011" }
Chen, H., Dmitrasinovic, V.,& Toki, H.. (2010). Pseudoscalar mesons in the SU(3) linear sigma model with Gaussian functional approximation. in Physical Review D, 82(3). https://doi.org/10.1103/PhysRevD.82.034011
Chen H, Dmitrasinovic V, Toki H. Pseudoscalar mesons in the SU(3) linear sigma model with Gaussian functional approximation. in Physical Review D. 2010;82(3). doi:10.1103/PhysRevD.82.034011 .
Chen, Hua-Xing, Dmitrasinovic, V., Toki, Hiroshi, "Pseudoscalar mesons in the SU(3) linear sigma model with Gaussian functional approximation" in Physical Review D, 82, no. 3 (2010), https://doi.org/10.1103/PhysRevD.82.034011 . .