ANGULAR MOMENTUM POLES OF THE NON-RELATIVISTIC S MATRIX FOR SPIN 1/2 PARTICLES

Journal Article · Fri Feb 01 04:00:00 EST 1963 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.129.1437· OSTI ID:4763517

Desai, B R; Newton, R G

The study of the structure of the two-particle S matrix as a function of the angular momentum in potential theory is extended to spin-dependent interactions between two spin 1/2 particles, including the tensor force. The results reveal considerable similarity with the spin zero case, including the symmetry properties. The main differences are two branch points at j = 0 and j = -1 and a pole at j = -1/2. It is shown that judicious combinations of S-matrix elements contain none of these singularities, and, as a result, neither do the scattering amplitudes. Certain modifications of the canonical situation are found in the presence of spin-orbit forces or other orbital angnlar momentum- dependent potentials. The factorization of the residue of the S matrix is also discussed. (auth)

• Research Organization: Indiana Univ., Bloomington
• NSA Number: NSA-17-011913
• OSTI ID: 4763517
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 129; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

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