A Light-Cone QCD Inspired Effective Hamiltonian Model for Pseudoscalar and Scalar Mesons
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Abstract
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. -
References
[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 II 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 -
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