A Light-Cone QCD Inspired Effective Hamiltonian Model for Pseudoscalar and Scalar Mesons
TAO Jun1, LI Lei2, ZHOU Shan-Gui3, WANG Shun-Jin
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 Science, Beijing 100080
A Light-Cone QCD Inspired Effective Hamiltonian Model for Pseudoscalar and Scalar Mesons
TAO Jun1, LI Lei2, ZHOU Shan-Gui3, WANG Shun-Jin
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 Science, Beijing 100080
Considering the one-gluon exchange interaction and phenomenological quark confinement potential, an improved light-cone effective Hamiltonian for mesons and the corresponding radial mass eigen equations in angular momentum representation is obtained. Solving the J=0 eigen equations numerically and using a set of adjustable parameters, the obtained solutions for ground states and radial excited states can simultaneously describe both pseudoscalar and scalar flavour-off-diagonal mesons. Some radial excited states are also predicted and wait for experimental test. More results for the vector and axial vector mesons are expected.
Considering the one-gluon exchange interaction and phenomenological quark confinement potential, an improved light-cone effective Hamiltonian for mesons and the corresponding radial mass eigen equations in angular momentum representation is obtained. Solving the J=0 eigen equations numerically and using a set of adjustable parameters, the obtained solutions for ground states and radial excited states can simultaneously describe both pseudoscalar and scalar flavour-off-diagonal mesons. Some radial excited states are also predicted and wait for experimental test. More results for the vector and axial vector mesons are expected.
TAO Jun;LI Lei;ZHOU Shan-Gui;WANG Shun-Jin. A Light-Cone QCD Inspired Effective Hamiltonian Model for Pseudoscalar and Scalar Mesons[J]. 中国物理快报, 2008, 25(9): 3185-3187.
TAO Jun, LI Lei, ZHOU Shan-Gui, WANG Shun-Jin. A Light-Cone QCD Inspired Effective Hamiltonian Model for Pseudoscalar and Scalar Mesons. Chin. Phys. Lett., 2008, 25(9): 3185-3187.
[1] Brodsky S J,Pauli H C and Pinsky S S 1998 Phys. Rep. 301 299 [2] Wilson K G, Walhout T S, Harindranath A, Zhang W M, PerryR J and Glazek S D 1994 Phys. Rev. D 49 6720 [3] Wang S J, Li L and Zhang G B 2006 Chin. Phys. Lett. 23 1426 [4] Li L, Wang S J, Zhou S G and Zhang G B 2007 Chin.Phys. Lett. 24 374 [5] Hersbach H 1994 Phys. Rev. C 50 2562 [6] W-M Yao et al 2006 J. Phys. G: Nucl. Part. Phys. 33 1 [7] Zhang W M 1994 Chin. J. Phys. 32 717 [8] Weinberg S 1996 The Quantum Theory of Fields(Cambridge: Cambridge University Press) vol I$\!$I p 192 [9] Godfrey S and Isgur N 1985 Phys. Rev. D 32 189 [10] Pauli H C 2002 hep-ph/0202179 v1 [11] Maris P and Roberts C D 2003 nucl-th/0301049v1 Holl A, Roberts C D and Wright S V 2006 nucl-th/ 0601071v1
2008, Vol. 25 
