Two-Body Off-Shell T and S Matrices
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概要
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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.
- 理論物理学刊行会の論文
- 1974-10-25
著者
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TAKEMIYA Toshinori
Department of Physics, Kumamoto University
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Nakamura Hideaki
Department Of Computer Science & Systems Engineering Yamaguchi University
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Nakamura Hideaki
Department Of Analytical Chemistry Hoshi University
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Nakamura Hideaki
Department Of Physics Kumamoto University
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Takemiya Toshinori
Department Of Nuclear Science Kyoto University
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TAKAMIYA Toshinori
Department of Physics, Kumamoto University
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NAKAMURA Hideaki
Department of Physics, Kumamoto University
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