• The Fredholm determinant for Hulthén-distorted non-local separable potential: Application to $\alpha-\alpha$ elastic scattering

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/094/0144

    • Keywords

       

      Hulthé n-distorted nuclear potential; Fredholm determinant; energy-dependent local potentials; phase function methods; alpha–alpha scattering phases

    • Abstract

       

      Exact analytical expression of the Fredholm determinant with outgoing wave boundary condition for motion in Hulthén-distorted non-local separable potential is constructed and expressed in the maximum reduced form. Using boundary conditions (regular and irregular), two approximate energy-dependent interactions corresponding to the parent non-local potential are also constructed. The phase shifts for the $\alpha–\alpha$ elastic scattering are computed by using (i) exact expression for the Fredholm determinant and (ii) energy-dependent local interactions by exploiting the phase function method. The merits of our constructed equivalent energy-dependent potentials are judged by comparing the $\alpha–\alpha$ elastic scattering phases with our exact calculation and standard data.

    • Author Affiliations

       

      U LAHA1 A K BEHERA1 M MAJUMDER1 J BHOI2

      1. Department of Physics, National Institute of Technology, Jamshedpur 831 014, India
      2. Department of Physics, Veer Surendra Sai University of Technology, Burla 768 018, India
    • Dates

       
  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2021-2022 Indian Academy of Sciences, Bengaluru.