A method for solving the quantum inverse scattering problem for coupled channels at fixed energy

被引:0
|
作者
Scheid, Werner [1 ]
机构
[1] Univ Giessen, Inst Theoret Phys, D-35392 Giessen, Germany
关键词
Quantum inversion of coupled channel problem at fixed energy; modified Newton-Sabatier method; coupled equations with two channels; POTENTIALS;
D O I
10.1142/S0218301316500944
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
This paper describes the inversion of a scattering problem with coupled channels at fixed energy. The coupling potential matrix is obtained from the S-matrix with the modified Newton-Sabatier method with a special expansion of the integral kernel and a determination of the potential matrix by using the coupled radial equations. The method is applied to problems restricted to two channels and with a monopole, dipole and quadrupole coupling (lambda = 0, 1, 2) between the channels. The inversion is shown to work quite satisfactorily and is useful for heavy ion scattering in nuclear physics.
引用
收藏
页数:11
相关论文
共 50 条
  • [1] An approximation method for the solution of the coupled-channels inverse scattering problem at fixed energy
    Eberspächer, M
    Amos, K
    Scheid, W
    Apagyi, B
    [J]. JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS, 2000, 26 (07) : 1065 - 1077
  • [2] DISCUSSION OF QUANTUM INVERSE SCATTERING PROBLEMS FOR COUPLED CHANNELS AT FIXED ENERGY
    Scheid, Werner
    Apagyi, Barnabas
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS, 2011, 20 (08) : 1765 - 1773
  • [3] QUANTUM INVERSE SCATTERING PROBLEM FOR COUPLED CHANNELS
    Apagyi, Barnabas
    Scheid, Werner
    [J]. MODERN PHYSICS LETTERS B, 2008, 22 (23): : 2241 - 2256
  • [4] QUANTUM MECHANICAL INVERSE SCATTERING PROBLEM AT FIXED ENERGY: A CONSTRUCTIVE METHOD
    Palmai, Tamas
    Apagyi, Barnabas
    [J]. METHODS AND APPLICATIONS OF ANALYSIS, 2011, 18 (01) : 93 - 104
  • [5] GENERAL METHOD FOR INVERSE SCATTERING PROBLEM AT FIXED ENERGY
    SABATIER, PC
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1967, 8 (04) : 905 - &
  • [6] THE INVERSE PROBLEM OF QUANTUM-THEORY OF SCATTERING WITH FIXED ENERGY
    MALYAROV, VV
    PIVOVARCHIK, VN
    [J]. UKRAINSKII FIZICHESKII ZHURNAL, 1982, 27 (05): : 775 - 777
  • [7] Numerical method for solving the inverse problem of quantum scattering theory
    Airapetyan, RG
    Puzynin, IV
    Zhidkov, EP
    [J]. INVERSE AND ALGEBRAIC QUANTUM SCATTERING THEORY, 1997, 488 : 88 - 97
  • [8] Coupled channel inverse scattering problem at fixed energy in Born approximation
    Jesgarz, S
    Apagyi, B
    Scheid, W
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (36): : 8721 - 8734
  • [9] The modified Newton-Sabatier method for the coupled channel inverse scattering problem at fixed energy
    Eberspacher, M
    Apagyi, B
    Scheid, W
    [J]. REVISTA MEXICANA DE FISICA, 1997, 43 : 14 - 23
  • [10] A QUANTUM-MECHANICAL INVERSE SCATTERING METHOD AT FIXED ENERGY
    KERMODE, MW
    COOPER, SG
    ALLEN, LJ
    [J]. INVERSE PROBLEMS, 1986, 2 (03) : 353 - 361