A Light-Cone QCD Inspired Meson Model with a Relativistic Confining Potential in Momentum Space
LI Lei 1, WANG Shun-Jin 2, ZHOU Shan-Gui 3,4, ZHANG Guang-Biao 5
1 School of Science, Southwest University of Science and Technology, Mianyang 621010
2 Department of Physics, Sichuan University, Chengdu 610064
3 Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080
4 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000
5 School of Physics and Electronics, Henan University, Kaifeng 475004
A Light-Cone QCD Inspired Meson Model with a Relativistic Confining Potential in Momentum Space
LI Lei 1;WANG Shun-Jin 2;ZHOU Shan-Gui 3,4;ZHANG Guang-Biao 5
1 School of Science, Southwest University of Science and Technology, Mianyang 621010
2 Department of Physics, Sichuan University, Chengdu 610064
3 Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080
4 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000
5 School of Physics and Electronics, Henan University, Kaifeng 475004
摘要For describing the radial excited states a relativistic confining potential in momentum space is included in the meson effective light-cone Hamiltonian. The meson eigen equations are transformed from the front form to the instant form and formulated in total angular representation. Details about numerically solving these equations are discussed, mainly focusing on treating ingularities arising from one-gluon exchange interactions and confinement. The results of pseudo-scalar mesons indicate that the improved meson effective light-cone Hamiltonian can describe the ground states and radial excited states well. Some radial excited states are also predicted and waiting for experimental test.
Abstract：For describing the radial excited states a relativistic confining potential in momentum space is included in the meson effective light-cone Hamiltonian. The meson eigen equations are transformed from the front form to the instant form and formulated in total angular representation. Details about numerically solving these equations are discussed, mainly focusing on treating ingularities arising from one-gluon exchange interactions and confinement. The results of pseudo-scalar mesons indicate that the improved meson effective light-cone Hamiltonian can describe the ground states and radial excited states well. Some radial excited states are also predicted and waiting for experimental test.
LI Lei;WANG Shun-Jin;ZHOU Shan-Gui;ZHANG Guang-Biao. A Light-Cone QCD Inspired Meson Model with a Relativistic Confining Potential in Momentum Space[J]. 中国物理快报, 2007, 24(2): 374-377.
LI Lei, WANG Shun-Jin, ZHOU Shan-Gui, ZHANG Guang-Biao. A Light-Cone QCD Inspired Meson Model with a Relativistic Confining Potential in Momentum Space. Chin. Phys. Lett., 2007, 24(2): 374-377.
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