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The proton-neutron resonance states by solving Schrodinger equation

2024/01/18 by B H Sun, Sun, Bao-Xi, Qinqin Cao +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Nuclear Physics and Applications #Nuclear Theory (nucl-th) #Quantum Physics (quant-ph) #Quantum, superfluid, helium dynamics #Scientific Research and Discoveries

paper · pdf · doi:10.48550/arxiv.2401.09974

openalex publication_date 2024/01/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 1905-i13MeV and 2150-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.

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