Applicability of Phase-Equivalent Energy-Dependent Potential. Case Studies

Low Energy n–p and n–d Scattering with Deng–Fan Potential

“…However, we will apply this potential for the twoparticle nuclear scattering with judicious exploitation of the variable phase approach (VPA) [26]. Several authors have computed quantum mechanical scattering phase shifts through VPA with various types of potentials [27][28][29][30][31][32][33][34][35]. Relatively recently, Behera et al [31] studied the nucleon-nucleon and alpha-nucleon elastic scatterings for the motion in the Manning-Rosen potential, whereas Sahoo et al [32] studied the nucleon-nucleon scattering for F-and G-partial waves using the Hulthén potential both by the proper utilization of the variable phase method.…”

Low and intermediate energy cross section analysis of p-p and p-d elastic scattering using modified phase amplitude method for electromagnetic distorted nuclear interaction

“…For solving quantum mechanical scattering issues, the Phase Function Method (PFM) [1,2] is both the most efficient and straightforward approach. This approach involves numerically solving the phase equation [3][4][5][6][7][8], a nonlinear differential equation of first-order, from origin to asymptotic region in order to produce the desired phase shifts. This effectively separates the wave equation's amplitude and phase components.…”

“…The phase shifts and associated quantities are given explicit analytical expressions in the current text. In the past, PFM has been successfully used to analyze nuclear scattering for a variety of local and local plus nonlocal interactions [3][4][5][6][7][9][10][11][12]. Typically, the nonlocal potential is used to take into consideration the target's effect of recoil and combines the wave function at one place with its value at all nearby points.…”

“…The phase function, however, may be stated in a straightforward mathematical form for a separable nonlocal potential using some integrals of the regular and irregular solutions to the parent nonlocal interaction. Separable nonlocal interactions have been employed successfully in a variety of physics applications because of how easily they can be calculated analytically [4,5,11,[13][14][15][16][17][18][19][20]. A fair description of nucleon-nucleon and nucleon-nucleus elastic scatterings is explained by the Graz model [4,5,[14][15][16][17][18] of separable interaction.…”

“…Separable nonlocal interactions have been employed successfully in a variety of physics applications because of how easily they can be calculated analytically [4,5,11,[13][14][15][16][17][18][19][20]. A fair description of nucleon-nucleon and nucleon-nucleus elastic scatterings is explained by the Graz model [4,5,[14][15][16][17][18] of separable interaction. About 30 years ago, one of the present authors (UL) [9][10][11] revised the traditional PFM for Coulomb/ Hulthén modified separable nonlocal potentials and campaigned the competence of this approach to nuclear potential scattering.…”