Real and Imaginary Phase Shifts for Nucleon-Deuteron Scattering using Phase Function Method

Abstract

The neutron-deuteron (nd) and proton-deuteron (pd) scattering are the simplest nucleon-nucleus scenario which throws light on understanding few body systems. In this work, real and imaginary parts of scattering phase shifts (SPS) for nd and pd scattering are obtained using optical potential, with Malfliet-Tjon (MT) model of interaction, by phase function method (PFM). The SPS for doublet 2S1/2 and quartet 4S3/2 states of nd and pd systems have been obtained for real and imaginary parts separately by solving the phase equation for l= 0, using Runge-Kutta 5 th order technique for laboratory energies up to 19 M eV . The obtained (real,imaginary) SPS for 2S1/2 and 4S3/2 states are matching with standard data with mean absolute error (MAE) of (1.32, 0.06) for 2S1/2 state and (0.19, 0.06) for 4S3/2 state of nd scattering, (1.47,0.62) for 2S1/2 state and (0.55, 0.14) for 4S3/2 state of pd scattering.