Re-study of the contribution of scalar potential and spectra of c, b and b(c) families  

作　　者：YUAN Xu-Hao KE Hong-Wei DING Yi-Bing LI Xue-Qian 袁煦昊;柯红卫;丁亦兵;李学潜(School of Physics,Nankai University,Tianjin 300071,China;School of Science,Tianjin University,Tianjin 300072,China;College of Physics Sciences,Graduate University of Chinese Academy of Sciences,Beijing 100049,China)

机构地区：[1]School of Physics,Nankai University,Tianjin 300071,China [2]School of Science,Tianjin University,Tianjin 300072,China [3]College of Physics Sciences,Graduate University of Chinese Academy of Sciences,Beijing 100049,China

出　　处：《Chinese Physics C》2012年第2期117-126,共10页中国物理C（英文版）

基　　金：Supported by National Natural Science Foundation of China (NSFC) (10775073, 11005079);Special Grant for Ph.D. Program of Ministry of Eduction of P.R. China (20070055037, 20100032120065)

摘　　要：We indicated in our previous work that for QED the role of the scalar potential which appears at the loop level is much smaller than that of the vector potential and is in fact negligible. But the situation is different for QCD, one reason is that the loop effects are more significant because as is much larger than a, and second the non-perturbative QCD effects may induce a sizable scalar potential. In this work, we study phenomenologically the contribution of the scalar potential to the spectra of charmonia, bottomonia and bC（bc） families. Taking into account both vector and scalar potentials, by fitting the well measured charmonia and bottomonia spectra, we re-fix the relevant parameters and test them by calculating other states of not only the eharmonia and bottomonia families, but also the bc family. We also consider the Lamb shift of the spectra.We indicated in our previous work that for QED the role of the scalar potential which appears at the loop level is much smaller than that of the vector potential and is in fact negligible. But the situation is different for QCD, one reason is that the loop effects are more significant because as is much larger than a, and second the non-perturbative QCD effects may induce a sizable scalar potential. In this work, we study phenomenologically the contribution of the scalar potential to the spectra of charmonia, bottomonia and bC（bc） families. Taking into account both vector and scalar potentials, by fitting the well measured charmonia and bottomonia spectra, we re-fix the relevant parameters and test them by calculating other states of not only the eharmonia and bottomonia families, but also the bc family. We also consider the Lamb shift of the spectra.

关 键 词：charmonia bottomonia scalar potential Lamb shift 

分 类 号：O572.24[理学—粒子物理与原子核物理]