Abstract

Velocity/energy-dependent potential to a parent nonlocal interaction is constructed for all partial waves by Taylor series expansion method and the related s and p-wave phase shifts for N-N and α-N systems are computed by application of modified phase equation. Our phase shifts are in good agreement with standard data.

Highlights

  • Several attempts were made to construct phase equivalent potentials [1,2,3,4,5,6,7,8,9] from knowledge of the scattering phase shifts

  • The formalism of supersymmetric (SUSY) quantum mechanics has been employed by a number of workers [10,11,12,13,14] to produce phase equivalent potentials

  • Under the situation N-N interaction cannot be defined by one radial variable s, i.e. the relative separation of 2 interacting particles

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Summary

Introduction

Several attempts were made to construct phase equivalent potentials [1,2,3,4,5,6,7,8,9] from knowledge of the scattering phase shifts. Under the situation N-N interaction cannot be defined by one radial variable s, i.e. the relative separation of 2 interacting particles It depends on the immediate vicinity of the 2 interacting nucleons to account for the effects of the recoil. Several methods [6,7,8,9] for generating phase equivalent local potentials to nonlocal separable interactions exist in the literature. These methods make a comparative study between the phase shifts of parent nonlocal potentials and the energy-dependent equivalent local potentials.

Phase equivalent local potential
Results and discussions
Conclusion

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