A Light-Cone QCD Inspired Effective Hamiltonian Model with SU(3) Flavor Mixing
GUO Xiao-Bo1, TAO Jun1, LI Lei2, ZHOU Shan-Gui3, WANG Shun-Jin1,4
1Center of Theoretical Physics, School of Physics and Technology, Sichuan University, Chengdu 6100642School of Science, Southwest University of Science and Technology, Mianyang 6210103Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 1001904Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000
A Light-Cone QCD Inspired Effective Hamiltonian Model with SU(3) Flavor Mixing
GUO Xiao-Bo1, TAO Jun1, LI Lei2, ZHOU Shan-Gui3, WANG Shun-Jin1,4
1Center of Theoretical Physics, School of Physics and Technology, Sichuan University, Chengdu 6100642School of Science, Southwest University of Science and Technology, Mianyang 6210103Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 1001904Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000
摘要The effective light-cone Hamiltonian is extended to include the SU(3) flavor mixing interaction besides the confining potential. Solving the coupled J=0 mass eigen equations for the up, down, and strange quark components numerically, the masses of π0 and η, their radial wave functions, and rms radii are obtained in agreement with the experimental data.
Abstract:The effective light-cone Hamiltonian is extended to include the SU(3) flavor mixing interaction besides the confining potential. Solving the coupled J=0 mass eigen equations for the up, down, and strange quark components numerically, the masses of π0 and η, their radial wave functions, and rms radii are obtained in agreement with the experimental data.
[1] Godfrey S and Isgur N 1985 Phys. Rev. D 32 189 [2] Maris P and Roberts C D 2003 Int. J. Mod. Phys. E 12 297 [3] Brodsky S J,Pauli H C and Pinsky S S 1998 Phys. Rep. 301 299 [4] Wilson K G, Walhout T S, Harindranath A, Zhang W M, PerryR J and Glazek S D 1994 Phys. Rev. D 49 6720 [5] Pauli H C 2001 arXiv:hep-ph/0103254 v1 [6] Wang S J, Li L and Zhang G B 2006 Chin. Phys. Lett. 23 1426 [7] Li L, Wang S J,Zhou S G and zhang G B 2007 Chin.Phys. Lett. 24 374 [8] Tao J , Li L, Zhou S G and Wang S J 2008 Chin. Phys.Lett. 25 3185 [9] Coon S A et al 1986 Phys. Rev. D 34 2784 [10] Magiera A and Machner H 2000 Nucl. Phys. A 674 515 [11] Bielefeld S, Ihmels J and Pauli H C 1999arXiv:hepo-ph/9904241v1 [12] Alvarez-Gaume L et al (Particle Data Group) 2008 Phys. Lett. B 667 583 [13] Schafer T, Shuryak E V 1998 Rev. Mod. Phys. 70 323 [14] Wang S L, Zhou J G, Chen Q H and Wang K L 1995 Chin.Phys. Lett. 12 140 [15] Dally E B et al 1982 Phys. Rev. Lett. 48 375 [16] Yao W M et al 2006 J. Phys. G: Nucl. Part. Phys. 33 1 [17] Hersbach H 1994 Phys. Rev. C 50 2562