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Prog. Theor. Phys. Vol. 52 No. 4 (1974) pp. 1248-1263

[ Full Text PDF : FREE ACCESS (1348K) ]

Two-Body Off-Shell T and S Matrices

Toshinori Takemiya and Hideaki Nakamura

Department of Physics, Kumamoto University, Kumamoto

(Received April 15, 1974)

Abstract:

The two-body off-shell T matrix elements with complex energy parameter for uncoupled and coupled states of the orbital angular momenta are investigated in a numerical method. The off-shell T matrix has a branch cut from the origin along the positive energy axis on the complex energy plane. If a two-body potential has several bound states, the poles of the off-shell T matrix appear only on the negative energy axis and correspond to the bound states of the potential. Redundant poles never appear. Once the off-shell T matrix is determined an off-shell S matrix with two complex energy parameters can be made of the off-shell T matrix. The scattering amplitude on the energy shell can be derived from the on-shell limit of the off-shell S matrix. The above approach can be extended to the case of the Coulomb plus nuclear potential. In this case, the Coulomb potential must be included into the unperturbed Hamiltonian, because of the long range property of the potential.


URL : http://ptp.ipap.jp/link?PTP/52/1248/
DOI : 10.1143/PTP.52.1248

[ Full Text PDF : FREE ACCESS (1348K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 62 No. 1 (1979) pp. 107-121 :
    Deuteron Breakup Reaction by 130 MeV Neutron
    Shinsuke Fukehara, Takahisa Okino, Atsuo Shibata and Toshinori Takemiya
  2. Progress of Theoretical Physics Vol. 74 No. 2 (1985) pp. 301-314 :
    On the Low Energy n-d Scattering
    Toshinori Takemiya
  3. Progress of Theoretical Physics Vol. 94 No. 1 (1995) pp. 143-146 :
    Binding Energy for Three-Nucleon System
    Toshinori Takemiya

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