The scattering of the Manning-Rosen potential with centrifugal term

Gao Feng Wei; Chao Yun Long; Shi Hai Dong

doi:10.1016/j.physleta.2007.12.042

The scattering of the Manning-Rosen potential with centrifugal term

Gao Feng Wei, Chao Yun Long, Shi Hai Dong

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97 Scopus citations

Abstract

In this Letter the approximately analytical scattering state solutions of the l-wave Schrödinger equation for the Manning-Rosen potential are carried out by a proper approximation to the centrifugal term. The normalized radial wave functions of l-wave scattering states are presented and the calculation formula of phase shifts is derived. It is well shown that the poles of the S-matrix in the complex energy plane correspond to bound states for real poles and scattering states for complex poles in the lower half of the energy plane. We consider and verify two special cases: the l = 0 and the s-wave Hulthén potential.

Original language	English
Pages (from-to)	2592-2596
Number of pages	5
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	372
Issue number	15
DOIs	https://doi.org/10.1016/j.physleta.2007.12.042
State	Published - 7 Apr 2008

Keywords

Approximately analytical solutions
Manning-Rosen potential
Scattering state

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10.1016/j.physleta.2007.12.042

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title = "The scattering of the Manning-Rosen potential with centrifugal term",

abstract = "In this Letter the approximately analytical scattering state solutions of the l-wave Schr{\"o}dinger equation for the Manning-Rosen potential are carried out by a proper approximation to the centrifugal term. The normalized radial wave functions of l-wave scattering states are presented and the calculation formula of phase shifts is derived. It is well shown that the poles of the S-matrix in the complex energy plane correspond to bound states for real poles and scattering states for complex poles in the lower half of the energy plane. We consider and verify two special cases: the l = 0 and the s-wave Hulth{\'e}n potential.",

keywords = "Approximately analytical solutions, Manning-Rosen potential, Scattering state",

author = "Wei, {Gao Feng} and Long, {Chao Yun} and Dong, {Shi Hai}",

note = "Funding Information: We would like to thank the kind referee for invaluable and positive suggestions, which have improved the manuscript greatly. This work is supported by the National Natural Science Foundation of China (Grant Nos. 10347003, 60666001), planned training excellent Scientific and Technological Youth Foundation of Guizhou province, China (Grant Nos. 2002, 2013), and the Science Foundation of Guizhou province, China and partially supported by COFAA, IPN, Project 20070914-SIP-IPN, Mexico.",

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doi = "10.1016/j.physleta.2007.12.042",

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T1 - The scattering of the Manning-Rosen potential with centrifugal term

AU - Wei, Gao Feng

AU - Long, Chao Yun

AU - Dong, Shi Hai

N1 - Funding Information: We would like to thank the kind referee for invaluable and positive suggestions, which have improved the manuscript greatly. This work is supported by the National Natural Science Foundation of China (Grant Nos. 10347003, 60666001), planned training excellent Scientific and Technological Youth Foundation of Guizhou province, China (Grant Nos. 2002, 2013), and the Science Foundation of Guizhou province, China and partially supported by COFAA, IPN, Project 20070914-SIP-IPN, Mexico.

PY - 2008/4/7

Y1 - 2008/4/7

N2 - In this Letter the approximately analytical scattering state solutions of the l-wave Schrödinger equation for the Manning-Rosen potential are carried out by a proper approximation to the centrifugal term. The normalized radial wave functions of l-wave scattering states are presented and the calculation formula of phase shifts is derived. It is well shown that the poles of the S-matrix in the complex energy plane correspond to bound states for real poles and scattering states for complex poles in the lower half of the energy plane. We consider and verify two special cases: the l = 0 and the s-wave Hulthén potential.

AB - In this Letter the approximately analytical scattering state solutions of the l-wave Schrödinger equation for the Manning-Rosen potential are carried out by a proper approximation to the centrifugal term. The normalized radial wave functions of l-wave scattering states are presented and the calculation formula of phase shifts is derived. It is well shown that the poles of the S-matrix in the complex energy plane correspond to bound states for real poles and scattering states for complex poles in the lower half of the energy plane. We consider and verify two special cases: the l = 0 and the s-wave Hulthén potential.

KW - Approximately analytical solutions

KW - Manning-Rosen potential

KW - Scattering state

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U2 - 10.1016/j.physleta.2007.12.042

DO - 10.1016/j.physleta.2007.12.042

M3 - Artículo

SN - 0375-9601

VL - 372

SP - 2592

EP - 2596

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 15

ER -

The scattering of the Manning-Rosen potential with centrifugal term

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Keywords

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