The scattering of the Manning-Rosen potential with centrifugal term

被引：97
作者：
Wei, Gao-Feng [2 ,3 ]
Long, Chao-Yun [2 ,3 ]
Dong, Shi-Hai [1 ]
机构：
[1] Inst Politecn Nacl, Dept Fis, Escuela Super Fis & Matemat, Unidade Profes Adolfo Lopez Mateos, Mexico City 07738, DF, Mexico
[2] Guizhou Univ, Coll Sci, Dept Phys, Guiyang 550025, Peoples R China
[3] Guizhou Univ, Lab Photoelect Technol & Appl, Guiyang 550025, Peoples R China
来源：
PHYSICS LETTERS A | 2008年 / 372卷 / 15期
基金：
中国国家自然科学基金;
关键词：
Manning-Rosen potential; scattering state; approximately analytical solutions;
D O I：
10.1016/j.physleta.2007.12.042
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this Letter the approximately analytical scattering state solutions of the l-wave Schrodinger 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 Hulthen potential. (c) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：2592 / 2596
页数：5
相关论文
共 22 条
  • [1] Regularization in the J-matrix method of scattering revisited
    Alhaidari, A. D.
    Bahlouli, H.
    Abdelmonem, M. S.
    Al-Ameen, F.
    Al-Abdulaal, T.
    [J]. PHYSICS LETTERS A, 2007, 364 (05) : 372 - 377
  • [2] Unified algebraic treatment of resonance
    Alhaidari, AD
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2005, 20 (12): : 2657 - 2672
  • [3] Any l-state solutions of the Hulthen potential by the asymptotic iteration method
    Bayrak, O.
    Kocak, G.
    Boztosun, I.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (37): : 11521 - 11529
  • [4] Analytical solution of scattering states for Hulthen potentials
    Chen Chang-Yuan
    Lu Fa-Lin
    Sun Dong-Sheng
    [J]. ACTA PHYSICA SINICA, 2007, 56 (11) : 6204 - 6208
  • [5] Approximate analytical solutions of Klein-Gordon equation with Hulthen potentials for nonzero angular momentum
    Chen, Chang-Yuan
    Sun, Dong-Sheng
    Lu, Fa-Lin
    [J]. PHYSICS LETTERS A, 2007, 370 (3-4) : 219 - 221
  • [6] Exact solutions of scattering states for the s-wave Schrodinger equation with the Manning-Rosen potential
    Chen, Chang-Yuan
    Lu, Fa-Lin
    Sun, Dong-Sheng
    [J]. PHYSICA SCRIPTA, 2007, 76 (05) : 428 - 430
  • [7] Path integral for Klein-Gordon particle in vector plus scalar Hulthen-type potentials
    Chetouani, L
    Guechi, L
    Lecheheb, A
    Hammann, TF
    Messouber, A
    [J]. PHYSICA A, 1996, 234 (1-2): : 529 - 544
  • [8] BOUND-STATES OF THE KLEIN GORDON EQUATION WITH VECTOR AND SCALAR HULTHEN-TYPE POTENTIALS
    DOMINGUEZADAME, F
    [J]. PHYSICS LETTERS A, 1989, 136 (4-5) : 175 - 177
  • [9] Dong S.H., 2007, Factorization method in quantum mechanics, V150, DOI DOI 10.1007/978-1-4020-5796-0
  • [10] Analytical approximations to the l-wave solutions of the Schrodinger equation with the Eckart potential
    Dong, Shi-Hai
    Qiang, Wen-Chao
    Sun, Guo-Hua
    Bezerra, V. B.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (34) : 10535 - 10540
123