Open AccessPhase Shift Analysis for Alpha-alpha Elastic Scattering using Phase Function Method for Gaussian Local Potential
Author(s) -
Anil Khachi,
O. S. K. S. Sastri,
Lalit Kumar,
Aditi Sharma
Publication year - 2021
Publication title -
journal of nuclear physics, materials sciences, radiation and applications
Language(s) - English
Resource type - Journals
eISSN - 2321-9289
pISSN - 2321-8649
DOI - 10.15415/jnp.2021.91001
Subject(s) - monte carlo method , gaussian , physics , scattering , schrödinger equation , mathematics , phase (matter) , function (biology) , variational monte carlo , variational method , statistical physics , mathematical analysis , quantum mechanics , quantum monte carlo , statistics , evolutionary biology , biology
The phase shifts for α- α scattering have been modeled using a two parameter Gaussian local potential. The time independent Schrodinger equation (TISE) has been solved iteratively using Monte-Carlo approach till the S and D bound states of the numerical solution match with the experimental binding energy data in a variational sense. The obtained potential with best fit parameters is taken as input for determining the phase-shifts for the S channel using the non-linear first order differential equation of the phase function method (PFM). It is numerically solved using 5th order Runge-Kutta (RK-5) technique. To determine the phase shifts for the ℓ=2 and 4 scattering state i.e. D and G-channel, the inversion potential parameters have been determined using variational Monte-Carlo (VMC) approach to minimize the realtive mean square error w.r.t. the experimental data.