理论物理学术报告

时间: 2008-10-10 星期五下午3点

地点: 理科楼311学术会议室(初定)

报告题目: Pseudoscalar Fermion-Antifermion Bound States——Analyzing the Salpeter Equation

报告人:   李志峰博士 (奥地利维也纳大学)

内容简介:  We introduce the exact quark propagator function for both the instantaneous Bethe-Salpeter equation and the reduced Salpeter equation. We analyze the stability of solutions of the exact-propagator full Salpeter equation and reduced Salpeter equation with various interaction kernels, including Lorentz-scalar, Lorentz-pseudoscalar, Lorentz-vector, time component Lorentz-vector and B¨ohm-Joos-Krammer (BJK) structure. By expanding the Salpeter amplitude to a set of orthonormal functions, we present a numerical tool to transfer the Salpeter equation to a matrix form and obtain the eigenvalues and eigenfunctions for pseudoscalar fermion-antifermion bound states. Furthermore, by using ’t Hooft’s instanton-induced interaction and applying the numerical method to the study of pseudoscalar π;K;D;Ds;B;Bs;Bc;hc;hb mesons, we obtain the mass eigenvalues and wave functions for these meson’s ground state and excited states within the framework of both the free-propagator and exact quark propagator Salpeter equation. The calculation shows that the exact-propagator contributes non-neglectable effect on the numerical results. In addition, we calculate the decay constant of π;K;D;Ds mesons with the exact quark propagator. Finally, we propose a differential equation approach to study the properties of solutions of the full Salpeter equation and reduced Salpeter equation for various Lorentz structures analytically.

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