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Non-Relativistic Phase Shifts for Scattering on Generalized Radial Yukawa Potentials
KTH, School of Engineering Sciences (SCI), Mechanics, Theoretical and Applied Mechanics.
2016 (English)In: Communications in Theoretical Physics, ISSN 0253-6102, E-ISSN 1572-9494, Vol. 65, no 4, 434-440 p.Article in journal (Refereed) PublishedText
Abstract [en]

Non-relativistic phase shifts for a generalized Yukawa potential V(r) = -Vo(e(-alpha r)/r) Vi(e(-2 alpha r)/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 V-1 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.

Place, publisher, year, edition, pages
Institute of Physics (IOP), 2016. Vol. 65, no 4, 434-440 p.
Keyword [en]
quantum mechanics, scattering, partial waves, resonances
National Category
Physical Sciences
URN: urn:nbn:se:kth:diva-188089DOI: 10.1088/0253-6102/65/4/434ISI: 000375569200006ScopusID: 2-s2.0-84964758080OAI: diva2:938060

QC 20160616

Available from: 2016-06-16 Created: 2016-06-03 Last updated: 2016-06-16Bibliographically approved

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