TY - JOUR AU - Khachi, Anil AU - Sastri, O.S.K.S. AU - Kumar, Lalit AU - Sharma, Aditi PY - 2021/08/31 Y2 - 2024/03/28 TI - Phase Shift Analysis for Alpha-alpha Elastic Scattering using Phase Function Method for Gaussian Local Potential JF - Journal of Nuclear Physics, Material Sciences, Radiation and Applications JA - J. Nucl. Phy. Mat. Sci. Rad. A. VL - 9 IS - 1 SE - Articles DO - 10.15415/jnp.2021.91001 UR - https://jnp.chitkara.edu.in/index.php/jnp/article/view/302 SP - 1-5 AB - <p>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 5<sup>th</sup> 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.</p> ER -