The arbitrary l continuum states of the hyperbolic molecular potential

Gao Feng Wei; Wen Li Chen; Shi Hai Dong

doi:10.1016/j.physleta.2014.06.022

The arbitrary l continuum states of the hyperbolic molecular potential

Gao Feng Wei, Wen Li Chen, Shi Hai Dong

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

Within the framework of partial-wave method, we study in this Letter the arbitrary l continuum states of the Schrödinger equation with the hyperbolic molecular potential in terms of an improved approximation to the centrifugal term. We present the normalized radial wave functions and obtain analytical formula of phase shifts. In addition, the corresponding bound states are also discussed by studying the analytical properties of the scattering amplitude. We calculate the energy spectra and scattering phase shifts by the improved, previous approximations and the accurate methods, respectively and find that the improved approximation is better than the previous one since the present results are in better agreement with the accurate ones.

Original language	English
Pages (from-to)	2367-2370
Number of pages	4
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	378
Issue number	32-33
DOIs	https://doi.org/10.1016/j.physleta.2014.06.022
State	Published - 27 Jun 2014

Keywords

Bound states
Continuum states
Hyperbolic molecular potential
Phase shifts

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10.1016/j.physleta.2014.06.022

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title = "The arbitrary l continuum states of the hyperbolic molecular potential",

abstract = "Within the framework of partial-wave method, we study in this Letter the arbitrary l continuum states of the Schr{\"o}dinger equation with the hyperbolic molecular potential in terms of an improved approximation to the centrifugal term. We present the normalized radial wave functions and obtain analytical formula of phase shifts. In addition, the corresponding bound states are also discussed by studying the analytical properties of the scattering amplitude. We calculate the energy spectra and scattering phase shifts by the improved, previous approximations and the accurate methods, respectively and find that the improved approximation is better than the previous one since the present results are in better agreement with the accurate ones.",

keywords = "Bound states, Continuum states, Hyperbolic molecular potential, Phase shifts",

author = "Wei, {Gao Feng} and Chen, {Wen Li} and Dong, {Shi Hai}",

note = "Funding Information: We would like to thank the referees for positive and invaluable suggestions, which have improved the manuscript greatly. One of the authors (S.H. Dong) would like to thank Prof. Jerry P. Draayer for great hospitality at Louisiana State University. This work was supported by Xi'an Science and Technology Planning project No. CXY1352WL29 and in part by 20140772-SIP-IPN, Mexico.",

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doi = "10.1016/j.physleta.2014.06.022",

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journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

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T1 - The arbitrary l continuum states of the hyperbolic molecular potential

AU - Wei, Gao Feng

AU - Chen, Wen Li

AU - Dong, Shi Hai

N1 - Funding Information: We would like to thank the referees for positive and invaluable suggestions, which have improved the manuscript greatly. One of the authors (S.H. Dong) would like to thank Prof. Jerry P. Draayer for great hospitality at Louisiana State University. This work was supported by Xi'an Science and Technology Planning project No. CXY1352WL29 and in part by 20140772-SIP-IPN, Mexico.

PY - 2014/6/27

Y1 - 2014/6/27

N2 - Within the framework of partial-wave method, we study in this Letter the arbitrary l continuum states of the Schrödinger equation with the hyperbolic molecular potential in terms of an improved approximation to the centrifugal term. We present the normalized radial wave functions and obtain analytical formula of phase shifts. In addition, the corresponding bound states are also discussed by studying the analytical properties of the scattering amplitude. We calculate the energy spectra and scattering phase shifts by the improved, previous approximations and the accurate methods, respectively and find that the improved approximation is better than the previous one since the present results are in better agreement with the accurate ones.

AB - Within the framework of partial-wave method, we study in this Letter the arbitrary l continuum states of the Schrödinger equation with the hyperbolic molecular potential in terms of an improved approximation to the centrifugal term. We present the normalized radial wave functions and obtain analytical formula of phase shifts. In addition, the corresponding bound states are also discussed by studying the analytical properties of the scattering amplitude. We calculate the energy spectra and scattering phase shifts by the improved, previous approximations and the accurate methods, respectively and find that the improved approximation is better than the previous one since the present results are in better agreement with the accurate ones.

KW - Bound states

KW - Continuum states

KW - Hyperbolic molecular potential

KW - Phase shifts

UR - http://www.scopus.com/inward/record.url?scp=84904261943&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2014.06.022

DO - 10.1016/j.physleta.2014.06.022

M3 - Artículo

SN - 0375-9601

VL - 378

SP - 2367

EP - 2370

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

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

IS - 32-33

ER -

The arbitrary l continuum states of the hyperbolic molecular potential

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Keywords

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