正负电子对撞中类底夸克偶素的线形  

Bottominium-like states in e^(+)e^(-) annihilation

作　　者：叶全兴 何广朝 王倩[1,2] Ye Quan-Xing;He Guang-Zhao;Wang Qian(Guangdong Basic Research Center of Excellence for Structure and Fundamental Interactions of Matter,Key Laboratory of Atomic and Subatomic Structure and Quantum Control(Ministry of Education),Institute of Quantum Matter,South China Normal University,Guangzhou 510006,China;Guangdong Provincial Key Laboratory of Nuclear Science,Guangdong-Hong Kong Joint Laboratory of Quantum Matter,Southern Nuclear Science Computing Center,South China Normal University,Guangzhou 510006,China)

机构地区：[1]华南师范大学量子物质研究院,原子亚原子结构与量子调控教育部重点实验室,广东省高等学校物质结构与相互作用基础研究卓越中心,广州510006 [2]华南师范大学南方核科学计算中心,粤港量子物质联合实验室,广东省核物质科学与技术重点实验室,广州510006

出　　处：《物理学报》2023年第20期28-35,共8页Acta Physica Sinica

基　　金：国家自然科学基金重点项目(批准号:12035007);广东省基金(批准号:2019QN01X172)资助的课题。

摘　　要：在重夸克自旋对称性下构造量子数为J^(PC)=1^(--)的P波B(*)B(*)有效相互作用势,代入李普曼-史温格方程求得e^(+)e^(-)→B(*)B(*)的散射振幅,发现对应的散射截面可以解释现有的实验数据.研究发现底夸克偶素的质量移动很小,主要是由于底夸克偶素和■道的有效耦合比较小.因此,e^(+)e^(-)→B(*)B(*)截面上的峰结构主要是Υ(4S),Υ(3D),Υ(5S)和Υ(6S)的贡献.能量在10.63 GeV处的窄峰值结构需要实验上进一步细致扫描和理论上拟合公式的优化.In the conventional quark model,meson is made of one quark and one antiquark,and baryon is made of X(3872)three quarks.Since the observation of the in 2003 by Belle collaboration,numerous exotic candidates beyond the conventional quark model have been observed.Most of them are located in heavy quarkonium energy region.Several interpretations,e.g.compact multiquarks,hadronic molecules,hybrids,etc,are proposed to understand their internal structures.Hadronic molecules are based on the fact that most of exotic candidates have nearby thresholds,which makes them analogies of deuteron made of one proton and one neutron.Whether two or more hadrons can be form a hadronic molecule or not depends on their interactions.In this work,we study the P-wave B(∗)¯B(∗)interactions based on the e+e-→B(∗)¯B(∗)cross sections from Belle-II experiment to study whether their interaction can form vector bottomonium-like states or not.As B(∗)and B(∗)mesons have bottom and antibottom quark,respectively,we work in the heavy quark limit,which respects both heavy quark spin symmetry and heavy quark flavor symmetry.In this framework,we construct effective contact potentials for J^(PC)=1^(--)P-wave B(∗)¯B(∗)interactions,by decomposing the B(∗)¯B(∗)dynamic channels into heavy-light basis.That,in the heavy quark limit,heavy and light degrees of freedoms are conserved individually makes the contact potentials in a very simple form.After solving the corresponding Lippmann-Schwinger equation,one can obtain the e+e-→B(∗)¯B(∗)scattering amplitudes.With these scattering amplitudes,we can deduce the corresponding cross sections,which can be compared with the experimental data directly.By fitting to the data,we find that the mass shifts of the considered bottomonia are small due to their small couplings to the B(∗)¯B(∗)continuum channels.As the result,theΥ(4S),Υ(3D),Υ(5S)andΥ(6S)vector bottomonia express theirselves as peaks at 10.58 GeV,10.87 GeV,11.03 GeV.The peak at 10.87 Ge is the interference betweenΥ(3D)and

关 键 词：重夸克偶素 奇特介子 重夸克有效理论 

分 类 号：O572.33[理学—粒子物理与原子核物理]