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Spectra of Free Diquark in the Bethe-Salpeter Approach
Authors:YU Yan-Ming KE Hong-Wei DING Yi-Bing GUO Xin-Heng JIN Hong-Ying LI Xue-Qian SHEN Peng-Nian WANG Guo-Li
Affiliation:Department of Physics, Nankai University, Tianjin 300071, China Department of Physics, Nankai University, Tianjin 300071, China Department of Physics, Graduate School of the Chinese Academy of Sciences, Beijing 100049, China Institute of Low-Energy Nuclear Physics, Beijing Normal University, Beijing 100875, China Institute of Modern Physics, Zhejiang University, Hangzhou 310027, China Department of Physics, Nankai University, Tianjin 300071, China Institute of High Energy Physics, the Chinese Academy of Sciences, P.O. Box 918-4, Beijing 100049, China Department of Physics, Harbin Institute of Technology, Harbin 150001, China
Abstract:In this work, we employ the Bethe-Salpeter (B-S) equation to investigate the spectra of free diquarks and their B-S wave functions. We find that the B-S approach can be consistently applied to study the diqaurks with two heavy quarks or one heavy and one light quarks, but for two light-quark systems, the results are not reliable. There are a few free parameters in the whole scenario which can only be fixed phenomenologically. Thus, to determine them, one has to study baryons which are composed of quarks and diquarks.
Keywords:Bethe-Salpeter equation   diquark   spectra
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