标量介子混合角对五夸克态结合能的影响  

The mixing of scalar mesons and pentaquark states

作　　者：戴连荣[1] 张亚楠[1] 孙悦玲[1] 邵思佳 

机构地区：[1]辽宁师范大学物理与电子技术学院,辽宁大连116029

出　　处：《辽宁师范大学学报（自然科学版）》2016年第2期170-174,共5页Journal of Liaoning Normal University:Natural Science Edition

基　　金：国家自然科学基金资助项目(11575076;11375080);辽宁省高等学校优秀科技人才支持计划项目(LR2015032)

摘　　要：在手征SU(3)夸克模型下,考虑了标量介子混合角,研究奇异数为+1的五夸克态的性质.首先,在平方型色禁闭势下,计算了自旋和宇称Jπ分别为1/2-和1/2+态的结合能,结果表明同位旋T=0态的能量总是最低,其组态[4]orb[31]σfts=01s-的最低能量为1 893MeV.然后,在误差函数型色禁闭势下,做了相同的计算,发现误差函数型相互作用对Jπ=1/2-系统提供吸引力,对Jπ=1/2+态提供排斥力.但不论采取哪种禁闭势,所计算的五夸克系统结合能仍然比LEPS实验组报道的质量1 540 MeV高出300 MeV左右.By considering the mixing of scalar meson, we study the structures of pentaquark uudds with negative and positive parity states within the chiral SU（3） quark model . First,we use quadratic potential as confinement interaction,in which the lowest four configurations of Jπ = 1/2- and four of Jπ= 1/2＋ for the pentaquark cluster are studied. The results show that the isospin T=0 state is al- ways the lowest one for both cases. The different mixing of scalar mesons and annihilation interac- tions are analyzed, respectively. The binding energies are higher for the ideal mixing case, compared with those of 19 degree mixing. When the annihilation interactions are considered, the energies of lowest state are reduced 86 MeV and 129 MeV for ideal mixing and 19 degree mixing cases,respec- tively. Then we use error function form potential as confinement interaction to further investigate the structures of pentaquark. It is found that the error function form potential provides attractive inter- action forJπ = 1/2 state. However,it provides repulsive interaction forJπ = 1/2＋ states. We can see that no matter what kind of potential we used, the binding energy is still higher than the reported val- ue of 1540 MeV of pentaquark mass in the chiral SU（3） quark model by considering the mixing of scalar meson.

关 键 词：手征夸克模型 标量介子混合角 五夸克态 结合能 

分 类 号：O572.2[理学—粒子物理与原子核物理]