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Stable solutions for q bound states with a regularized Breit potential

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【作者】 吉日木图； 张卫宁；

【Author】 Jirimutu ZHANG Wei-Ning 1 (Department of Physics, Haerbin Institute of Technology, Haerbin 150006, China) 2 (School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, China) (Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator of Lanzhou, Lanzhou 730000, China)

【机构】 Department of Physics, Haerbin Institute of Technology； School of Physics and Optoelectronic Technology, Dalian University of Technology； Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator of Lanzhou；

【摘要】 The Breit interaction contains singular terms which may lead to an instability in quark-antiquark bound state calculations. We regularize the Breit interaction by multiplying the singular terms in momentum space by the form factor μ2/(q2+μ2) such that the interaction is not singular at the origin and the intermediate-and long-range parts of the interaction remain unchanged. The singular terms in the Breit potential find their stable contributions in the calculations after being multiplied by the form factor with different powers. Such a regularized Breit potential with a linear and a relativistically corrected confining potential are applied to the study of q bound states. The spectra for most familiar mesons are consistently obtained and agree well with the experimental data.

【Abstract】 The Breit interaction contains singular terms which may lead to an instability in quark-antiquark bound state calculations. We regularize the Breit interaction by multiplying the singular terms in momentum space by the form factor μ2/(q2+μ2) such that the interaction is not singular at the origin and the intermediate-and long-range parts of the interaction remain unchanged. The singular terms in the Breit potential find their stable contributions in the calculations after being multiplied by the form factor with different powers. Such a regularized Breit potential with a linear and a relativistically corrected confining potential are applied to the study of q bound states. The spectra for most familiar mesons are consistently obtained and agree well with the experimental data.

【关键词】 quark model； regularized Breit potential； meson spectra； relativistically corrected confining potential；
【Key words】 quark model； regularized Breit potential； meson spectra； relativistically corrected confining potential；
【基金】 Supported by National Natural Science Foundation of China (10775024);the Foundation of Theoretical Nuclear Physics Center of National Laboratory of Heavy Ion Accelerator of Lanzhou
  • 【文献出处】 中国物理C ,Chinese Physics C , 编辑部邮箱 ,2009年08期
  • 【分类号】O572.33
  • 【下载频次】18
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