• M MAJUMDER

      Articles written in Pramana – Journal of Physics

    • Volterra integral equation-factorisation method and nucleus–nucleus elastic scattering

      U LAHA M MAJUMDER J BHOI

      More Details Abstract Fulltext PDF

      An approximate solution for the nuclear Hulthén plus atomic Hulthén potentials is constructed by solving the associated Volterra integral equation by series substitution method. Within the framework of supersymmetry-inspired factorisation method, this solution is exploited to construct higher partial wave interactions. The merit of our approach is examined by computing elastic scattering phases of the $\alpha−\alpha$ system by the judicious use of phase function method. Reasonable agreements in phase shifts are obtained with standard data.

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

      U LAHA A K BEHERA M MAJUMDER J BHOI

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      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.

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