Scholarlink

<p>In this article, we propose a numerical approach to solve quantum mechanical scattering problems, using the phase function method, considering the neutron-proton (<i>np</i>) interaction as an example. The nonlinear phase equation, obtained from the time-independent Schrödinger equation, is solved using the Runge-Kutta method to obtain S-wave scattering phase shifts for neutron-proton interaction modeled using Yukawa and Malfliet-Tjon potentials. While scattering phase shifts of S-states using the Yukawa match with experimental data for only lower energies of 50 MeV, the Malfliet-Tjon potential with a repulsive term gives excellent accuracy for all available energies up to 200 MeV. This simulation methodology can be easily extended to study the phenomenon of scattering using a phase-wave analysis approach in the realms of atomic, molecular, and nuclear physics.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Numerical Simulation Study of Neutron-Proton Scattering Using Phase Function Method

  • 期刊论文

  • 发表日期：

    2025年8月18日

查看全文
  • Shikha Awasthi,
  • Anil Khachi,
  • Lalit Kumar,
  • O. S. K. S. Sastri

摘要

In this article, we propose a numerical approach to solve quantum mechanical scattering problems, using the phase function method, considering the neutron-proton (np) interaction as an example. The nonlinear phase equation, obtained from the time-independent Schrödinger equation, is solved using the Runge-Kutta method to obtain S-wave scattering phase shifts for neutron-proton interaction modeled using Yukawa and Malfliet-Tjon potentials. While scattering phase shifts of S-states using the Yukawa match with experimental data for only lower energies of 50 MeV, the Malfliet-Tjon potential with a repulsive term gives excellent accuracy for all available energies up to 200 MeV. This simulation methodology can be easily extended to study the phenomenon of scattering using a phase-wave analysis approach in the realms of atomic, molecular, and nuclear physics.