• P SAHOO

Articles written in Pramana – Journal of Physics

• Fredholm determinants for the Hulthén-distorted separable potential

By exploiting higher partial wave solutions for the Hulthén potential, constructed via the factorisation method, closed form analytical expressions of the Fredholm determinants for motion in Hulthén plus modified Graz separable potential are constructed to study on-shell scattering up to partial wave $\scr l$= 2. Phase shifts for different states of $\alpha-^3$H and $\alpha-^3$He are obtained by exploiting the expression of the Fredholm determinant. The results are found in reasonable agreement with the standard data (Spiger and Tombrello 1967).

• Off-shell T-matrix for the Manning–Rosen potential

New analytical expressions for the off-shell wave functions and T-matrix with the Manning–Rosen potential are constructed in terms of generalised hypergeometric functions. The off-shell T-matrices are computed for the neutron–proton and neutron–deuteron systems. The limiting behaviours of our expression for the off-shellT-matrix are verified and found correct.

• On the p−$^2$H$_1$ and p−$^{16}$O elastic scattering

We solve the wave equation with the Manning–Rosen plus rank one separable non-local potential to obtain exact analytical solutions through ordinary differential equation method. The regular, Jost and physical state solutions are found to involve special functions of mathematics. As an application of the Jost function and Fredholm determinant, the bound-state energies and the scattering phase parameters for the p−$^2$H$_1$ and p−$^{16}$O systems are computed. The results achieved are in good agreement with the other methods published earlier.

• Treatment of hadronic systems involving two potentials under a new approximation scheme

In this work, exact analytical expressions for regular solution and on-shell Jost function are calculated for nuclear Hulthén plus atomic Hulthén potential by imposing the same range approximation to both nuclear andatomic potentials. In this context, the regular solution is utilised to find expressions for the off-shell Jost function and half-shell T -matrix. The half-off-shell T -matrix and the elastic scattering phase shifts for the nucleon–nucleon and nucleus–nucleus systems are computed. Our results are found to be in good agreement with the standard data.

• # Pramana – Journal of Physics

Volume 96, 2022
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019