Non-Relativistic Phase Shifts for Scattering on Generalized Radial Yukawa Potentials. (1st April 2016)

• Record Type: Journal Article
• Authors: Oluwadare, O.J.; Thylwe, K.E.; Oyewumi, K.J.
• Is Part Of: Communications in theoretical physics. Volume 65:Number 4(2016:Apr.)
• Page Start: 434
• Page End: 440
• Publication Date: 2016-04-01
• Subjects: 03.65.Nr; quantum mechanics -- scattering -- partial waves -- resonances; Physics -- Periodicals; 530.105
• DOI: 10.1088/0253-6102/65/4/434
• Languages: English
• ISSNs: 0253-6102

Abstract

Abstract: Non-relativistic phase shifts for a generalized Yukawa potential V(r) = − V0 (e −αr /r) − V1 (e −2αr /r 2 ) are studied by the amplitude-phase method and by a frequently used analytic method based on a Pekeris-type approximation of power-law potential terms. Small variations of V1 seem to have marginal effects on the effective potential and on exact phase shifts. However, as pointed out in this study, a Pekeris-type approximation in scattering applications often implies serious distortions of both effective potentials and phase shifts. The Pekeris-type based analytic approximation in this study seems to give low-quality scattering results for this model potential at low energies.