李普曼-史温格方程在耦合道中的应用  

THE APPLICATION OF LIPMANN-SCHWINGER EQUATION IN COUPLED CHANNEL METHOD

作　　者：王恩 宋开兰 刘利娟 马冰[1] 李德民[1] WANG En;SONG Kailan;LIU Lijuan;MA Bing;LI Demin(School of Physics and Engineering,Zhengzhou University,Zhengzhou Henan 450001)

机构地区：[1]郑州大学物理工程学院

出　　处：《物理与工程》2019年第4期106-110,120,共6页Physics and Engineering

基　　金：河南省教育厅研究生教育优质课程“高等量子力学”基金项目;郑州大学研究生核心学位课程“高等量子力学”基金项目(YJSXWKC201558)

摘　　要：手征幺正方法是描述动力学产生的强子共振态性质的一个重要手段,该方法利用推广到耦合道的李普曼-史温格方程描述无穷多s道散射圈图的贡献。本文中,我们从希尔伯特空间的定态散射过程出发,首先导出李普曼-史温格方程,然后以同位旋I=0的两个耦合道KK^-和ππ为例,将李普曼-史温格方程推广到描述耦合道的散射过程的Bethe-Salpeter方程,并简单说明了散射振幅的极点与动力学产生的共振态之间的联系,最后我们利用耦合道方法详细讨论了Λ(1405)的双极点结构。The chiral unitary approach is an important method to investigate the properties of dynamically generated hadron resonances.The contribution of infinite s-channel scattering loops is described by the extended Lipmann-Schwinger equation for coupled channels.In this paper,starting from the steady-state scattering process in Hilbert space,we first derive the Lippmann-Swinger equation,and then extend the Lippmann-Swinger equation to the Bethe-Salpeter equation,which describes the scattering process of the coupled channel,taking two coupled channels KK^-andππwith isospin I=0 as examples.The relationship between the poles of scattering amplitude and the resonance state generated by dynamics is briefly explained.Finally,the bipolar structure ofΛ(1405)is discussed in detail by using the coupled channel method.

关 键 词：李普曼-史温格方程 耦合道 手征幺正方法 散射振幅 

分 类 号：O17[理学—数学]