Non-Relativistic Phase Shifts for Scattering on Generalized Radial Yukawa Potentials

Non-relativistic phase shifts for a generalized Yukawa potential V（r） =-V_0（ e~（-αr）/r）-V_1（ 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 V_1 seem to have margin...

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Bibliographic Details
Published inCommunications in theoretical physics Vol. 65; no. 4; pp. 434 - 440
Main Authors Oluwadare, O.J., Thylwe, K.E., Oyewumi, K.J.
Format Journal Article
LanguageEnglish
Published Chinese Physical Society and IOP Publishing 01.04.2016
Subjects
Approximation
Distortion
is型
Low energy
Mathematical analysis
partial waves
Phase shift
quantum mechanics
resonances
Scattering
Theoretical physics
Yukawa potential
Yukawa势
广义
径向
散射
相移
边际效应
非相对论
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ISSN0253-6102
1572-9494
1572-9494
DOI10.1088/0253-6102/65/4/434

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Summary:Non-relativistic phase shifts for a generalized Yukawa potential V（r） =-V_0（ e~（-αr）/r）-V_1（ 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 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.
Bibliography:11-2592/O3
quantum mechanics scattering partial waves resonances
Non-relativistic phase shifts for a generalized Yukawa potential V（r） =-V_0（ e~（-αr）/r）-V_1（ 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 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.
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ISSN:0253-6102
1572-9494
1572-9494
DOI:10.1088/0253-6102/65/4/434