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<p>Solving the Dirac equation has played an important role in many areas of fundamental physics. In this work, we present the Dirac equation solver DiracSVT, which solves the Dirac equation with scalar, vector, and tensor nuclear potentials in spherical coordinate space. The shooting method was used with a Runge–Kutta 4 integration scheme. The potentials are parameterized in a Woods–Saxon form, which reproduce well the known single-particle states around all doubly magic nuclei and can be applied to study the shell evolution of exotic nuclei. The code can be easily extended to the study of other systems, including atomic, hadron, and molecular physics.</p>

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Numerical solution of the Dirac equation with scalar, vector, and tensor potentials

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年10月9日

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  • Alexander Wallén Kiessling,
  • Daniel Karlsson,
  • Yuxin Zhao,
  • Mário Bettencourt Amaro,
  • Chong Qi

摘要

Solving the Dirac equation has played an important role in many areas of fundamental physics. In this work, we present the Dirac equation solver DiracSVT, which solves the Dirac equation with scalar, vector, and tensor nuclear potentials in spherical coordinate space. The shooting method was used with a Runge–Kutta 4 integration scheme. The potentials are parameterized in a Woods–Saxon form, which reproduce well the known single-particle states around all doubly magic nuclei and can be applied to study the shell evolution of exotic nuclei. The code can be easily extended to the study of other systems, including atomic, hadron, and molecular physics.