English

The proton-neutron resonance states by solving Schrodinger equation

High Energy Physics - Phenomenology 2024-01-19 v1 Nuclear Theory Quantum Physics

Abstract

The proton-neutron interaction is investigated by solving the Schrodinger equation, where a Yukawa type of potential with one pion exchanging between the proton and the neutron is assumed. Since the deutron is the unique bound state of the proton-neutron system, the coupling constant is fixed according to the binding energy of the deutron. The scattering process of the proton and the neutron is studied when the outgoing wave condition is taken into account, and two proton-neutron resonance states are obtained by solving the Schrodinger equation, which lie at 1905i131905-i13MeV and 2150i3422150-i342MeV on the complex energy plane, respectively. It is no doubt that the calculation results would give some hints on the experimental research on the proton-neutron interaction in future.

Keywords

Cite

@article{arxiv.2401.09974,
  title  = {The proton-neutron resonance states by solving Schrodinger equation},
  author = {Bao-Xi Sun and Qin-Qin Cao and Ying-Tai Sun},
  journal= {arXiv preprint arXiv:2401.09974},
  year   = {2024}
}

Comments

3 pages, 2 figures, Two columns