Abstract
The scattering phase shifts for n-p scattering have been modeled using various two term exponential type potentials such as Malfliet-Tjon, Manning-Rosen and Morse to study the phase shifts in the S-channels. As a first step, the model arameters for each of the potentials are determined by obtaining binding energy of the deuteron using matrix methods vis-a-vis Variational Monte-Carlo (VMC) technique to minimize the percentage error w.r.t. the experimental value. Then, the first order ODE as given by phase function method (PFM), is numerically solved using 5th order Runge-Kutta (RK-5) technique, by substituting the obtained potentials for calculating phase shifts for the bound 3S1 channel. Finally, the potential parameters are varied in least squares sense using VMC technique to obtain the scattering phase-shifts for each of the potentials in the 1S0 channel. The numerically obtained values are seen to be matching with those obtained using other analytical techniques and a comparative analysis with the experimental values up to 300 MeV is presented.
Highlights
Modeling the n-p interaction is one of the most fundamental concepts in nuclear physics to understand the nature of nuclear force
The model parameters for each of the potentials are determined by obtaining binding energy of the deuteron using matrix methods vis-a-vis Variational Monte-Carlo (VMC) technique to minimize the percentage error w.r.t. the experimental value
There has been renewed interest in the application of phase function method (PFM) [21], [22] called as Variable Phase Approach (VPA) which has been extensively used by Laha, et al [5], [7]
Summary
Modeling the n-p interaction is one of the most fundamental concepts in nuclear physics to understand the nature of nuclear force. The scattering at low energies requires inclusion of spin and iso-spin dependent potentials for describing long-range interaction These scattering phase-shifts are obtained analytically using either S-matrix [11] or Jost function [12] methods. The model parameters for the potentials are optimized by reducing the percentage error of the numerically obtained binding energy (BE) for the deuteron, by solving the Time Independent Schrodinger Equation (TISE), with its experimental BE using the variational Monte-Carlo (VMC) technique [26,27,28]. To compensate for the absence of spin and iso-spin dependent potentials required for obtaining the 1S0 channel, which result typically in variation of depth and range of potentials [5], [7], the VMC is employed to re-optimize the parameters by obtaining the phase-shifts using PFM in the least squares minimization of 2 values w.r.t. the available experimental data.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Journal of Nuclear Physics, Material Sciences, Radiation and Applications
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
