Generating velocity-dependent potential in all partial waves

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.

Low and intermediate energy cross section analysis of p-p and p-d elastic scattering using modified phase amplitude method for electromagnetic distorted nuclear interaction

“…For solving quantum mechanical scattering issues, the Phase Function Method (PFM) [1,2] is both the most efficient and straightforward approach. This approach involves numerically solving the phase equation [3][4][5][6][7][8], a nonlinear differential equation of first-order, from origin to asymptotic region in order to produce the desired phase shifts. This effectively separates the wave equation's amplitude and phase components.…”

“…The phase shifts and associated quantities are given explicit analytical expressions in the current text. In the past, PFM has been successfully used to analyze nuclear scattering for a variety of local and local plus nonlocal interactions [3][4][5][6][7][9][10][11][12]. Typically, the nonlocal potential is used to take into consideration the target's effect of recoil and combines the wave function at one place with its value at all nearby points.…”