Phase shift analysis of nucleon-nucleon elastic scattering has been conducted up to 350 MeV by various research groups, employing various realistic interaction potentials. Objective of this research is to develop inverse potentials for both real and imaginary scattering phase shifts by utilizing the optical potential for proton-proton interactions up to 1 GeV. The reference potential chosen comprises of two regular Morse functions, account for short and medium-range interactions and an inverse Morse function to represent long-range interactions. Such a combination ensures that one need not include the long-range coulomb interaction separately. The potential parameters are optimized by solving the phase equation using the RK-5 method iteratively, in order to minimize the mean squared error between the calculated and experimental phase shifts. The final real and imaginary scattering phase shifts obtained using our methodology demonstrates excellent agreement with the expected ones up to 1GeV for \(^1S_0\) .

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Optical Inverse Potentials for Proton-Proton Scattering up to 1GeV

  • Arushi Sharma,
  • Gargi Rathore,
  • Ayushi Awasthi,
  • Ishwar Kant,
  • O. S. K. S Sastri

摘要

Phase shift analysis of nucleon-nucleon elastic scattering has been conducted up to 350 MeV by various research groups, employing various realistic interaction potentials. Objective of this research is to develop inverse potentials for both real and imaginary scattering phase shifts by utilizing the optical potential for proton-proton interactions up to 1 GeV. The reference potential chosen comprises of two regular Morse functions, account for short and medium-range interactions and an inverse Morse function to represent long-range interactions. Such a combination ensures that one need not include the long-range coulomb interaction separately. The potential parameters are optimized by solving the phase equation using the RK-5 method iteratively, in order to minimize the mean squared error between the calculated and experimental phase shifts. The final real and imaginary scattering phase shifts obtained using our methodology demonstrates excellent agreement with the expected ones up to 1GeV for \(^1S_0\) .