On the localisation of separable non-local potentials

Generating velocity-dependent potential in all partial waves

“…We have extended the method of Talukdar et al [9] to all partial waves and obtained good agreement in phase shift values for nucleon-nucleon and alpha-nucleon systems. Also, we have developed the phase equation of MacKellar and May [17] for all partial waves.…”

“…Several attempts were made to construct phase equivalent potentials [1][2][3][4][5][6][7][8][9] from knowledge of the scattering phase shifts. Also, the formalism of supersymmetric (SUSY) quantum mechanics has been employed by a number of workers [10][11][12][13][14] to produce phase equivalent potentials.…”

“…The use of separable nonlocal interactions for different angular momentum states is well established in nucleon-nucleon and nucleon-nucleus scattering. Several methods [6][7][8][9] for generating phase equivalent local potentials to nonlocal separable interactions exist in the literature. These methods make a comparative study between the phase shifts of parent nonlocal potentials and the energy-dependent equivalent local potentials.…”

“…Talukdar et al [9] constructed a phase equivalent potential to Yamaguchi [15] one by Taylor series expansion of the nonlocal wave function involved in the integro-differential equation. The present work is an extension of this work for all partial waves to study the nucleon-nucleus system.…”

Localization of a nonlocal interaction

“…The use of separable nonlocal interactions to fit two-nucleon phase shifts in various angular momentum states is well established. Attempts were made by several groups [11][12][13] to construct equivalent local potentials to nonlocal interactions or localization of nonlocal potentials. An equivalent local potential analysis to a nonlocal one is quite common in optical model studies.…”