A novel method for determining the mean-field directly from the single particle matter density
[摘要] We present a novel method, using the single particle Schrodinger equation, to determine the central potential directly from the single particle matter density and its first and second derivatives. As an example, we consider the experimental data for the charge density difference between the isotones206Pb -205Tl that corresponds to the shell model 3s1/2proton orbit, and determine the corresponding single particle potential (mean-field). We also present results of least-square fits to parametrized single particle potentials.
[发布日期] [发布机构] Cyclotron Institute, Texas AandM University, College Station; TX; 77840, United States^1;Weizmann Institute of Science, Rehovot, Israel^2
[效力级别] 数学 [学科分类]
[关键词] Central potentials;Charge density difference;Least square fits;Proton orbits;Second derivatives;Shell models;Single particle;Single particle potential [时效性]
