• U Laha

Articles written in Pramana – Journal of Physics

• An integral transform of Green's function, off-shell Jost solution and T-matrix for Coulomb–Yamaguchi potential in coordinate representation

By exploiting the theory of ordinary differential equations together with certain properties of higher transcendental functions, a useful analytical expression for the integral transform of the Green's function for motion in Coulomb–Yamaguchi potential is derived via the r-space approach. This integral transform is applied to construct an analytical expression for off-shell Jost solution in its ‘maximal reduced form’ involving confluent and Gaussian hypergeometric functions. Corresponding Jost functions auto-matically follow from this solution. Finally, as another application of the off-shell Jost solution, the off-shell T-matrix is calculated by using a modified relation between offshell physical wave function and T-matrix which does not involve the potential explicitly, thereby avoiding certain difficult integrals, and expressed it in terms of rational functions and simple hypergeometric functions which is in exact agreement with the results given previously by other authors.

• On the nucleon–nucleon scattering phase shifts through supersymmetry and factorization

By exploiting the supersymmetry-inspired factorization method through a judicious use of deuteron ground state wave function, higher partial wave nucleon–nucleon potentials, both energy independent and energy dependent, are generated. We adopt the phase function method to deal with the scattering phase shifts and demonstrate the usefulness of our constructed potentials by means of model calculation.

• Nucleon–nucleon scattering in the light of supersymmetric quantum mechanics

By exploiting supersymmetry-inspired factorization method together with a judiciously chosen deuteron ground-state wave function, approximate higher partial wave nucleon–nucleon potentials are generated. In this context, a minor modification is also introduced to the generated potentials. The n–p scattering phase shifts are computed and analysed via the phase function method.

• Erratum to: An integral transform of Green’s function, off-shell Jost solution and T-matrix for Coulomb–Yamaguchi potential in coordinate representation

• Two-nucleon Hulthen-type interactions for few higher partial waves

By exploiting supersymmetry and factorization method, higher partial wave nucleon–nucleon potentials ($\ell = 1,2,3$) for a few selected triplet and singlet states are generated from the ground-state interaction and wave function. The nuclear Hulthen potential and the corresponding wave function with the parameters of Arnold and Mackellar which fit the deuteron binding energy are used as the starting point of our calculation. The scattering phase shifts are computed for the constructed potentials using phase function method to examine the merit of our approach to the problem.

• # Pramana – Journal of Physics

Volume 96, 2022
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019