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Prog. Theor. Phys. Vol. 52 No. 5 (1974) pp. 1554-1566

[ Full Text PDF : FREE ACCESS (1138K) ]

Properties of the Saito Nonlocal Potential

M. J. Englefield and H. S. M. Shoukry

Department of Mathematics, Monash University, Victoria 3168, Australia

(Received September 14, 1973)

Abstract:

We consider a Schrödinger radial equation containing a local potential and a Saito nonlocal term which constrains the wave function to be orthogonal to a redundant state. A formula is obtained for the extra phase shift due to the nonlocal term, and conditions for bound states are derived. The extra phase shift is positive, and its low energy behaviour indicates whether a bound state of the local potential is removed, demonstrating the generalized Levinson theorem. For the α-α and n-p interactions, we consider the possibility of a local potential which could fit the experimental data with the addition of a Saito term. A strong short-ranged attraction is necessary in the n-p case.


URL : http://ptp.ipap.jp/link?PTP/52/1554/
DOI : 10.1143/PTP.52.1554

[ Full Text PDF : FREE ACCESS (1138K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 60 No. 3 (1978) pp. 765-771 :
    The Zero-Energy Continuum Bound State of the Saito Potential
    B. Bagchi, B. Mulligan and S. B. Qadri
  2. Progress of Theoretical Physics Vol. 62 No. 3 (1979) pp. 839-841 :
    Off-Energy-Shell Unitarity for the Saito Potential
    B. Talukdar, U. Das and S. Chakravarty
  3. Progress of Theoretical Physics Vol. 69 No. 3 (1983) pp. 886-917 :
    Local Inter-Nucleus Potential and Pauli-Forbidden States
    Hisashi Horiuchi
  4. Progress of Theoretical Physics Vol. 104 No. 5 (2000) pp. 1025-1040 :
    G-Matrix Equation in the Quark-Model Resonating-Group Method for Baryon-Baryon Interaction
    Yoshikazu Fujiwara, Michio Kohno, Choki Nakamoto and Yasuyuki Suzuki
  5. Progress of Theoretical Physics Supplement No.62 (1977) pp. 11-89 :
    Chapter II. Theory of Resonating Group Method and Generator Coordinate Method, and Orthogonality Condition Model
    Sakae Saito

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