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Prog. Theor. Phys. Vol. 12 No. 4 (1954) pp. 503-520

On Nuclear Force for ³S₁+³D₁ State

Masahiko Matsumoto and Wataro Watari^*

Siga University
^*Kyoto University

(Received June 29, 1954)

Abstract:

Deuteron problem and 90 Mev n-p scattering are discussed according to the Taketani prescription. L shape potentials are used for the outside potentials, which are nearly equivalent to the meson theoretical potentials. In the inside region the phenomenological potentials are used which are composed of a hard core surrounded by square well so as to give the deuteron binding energy correctly. The depths of these inside central and tensor square well potentials are varied extensively as two parameters, and effects of these variations on the electric quadrupole moment and D state probability of deuteron, triplet effective range of neutron-proton scattering and 90 Mev neutron-proton scattering phase shifts are examined. The results are summarized in various graphs and tables. The depth of the inside central potential does not affect the physical quantities of deuteron, which, however, depend on the depth of the inside tensor force. Asymptotic forms of wave functions of neutron-proton system at high energy are mainly determined by the depth of the inside central potential, if the sign of the inside tensor potential is negative. On the contrary, if the inside tensor potential is positive and higher than about 80 Mev the high energy data depend strongly on the both inside parameters. “D wave” of the deuteron has one node when the height of the inside tensor potential is larger than about 80 Mev. It is also found that the calculated value of the total cross section of the high-energy n-p scattering is reduced by introducing a hard core, and can be fit to the experimental values wihout violating the angular distribution.

URL : http://ptp.ipap.jp/link?PTP/12/503/
DOI : 10.1143/PTP.12.503

[ Full Text PDF : FREE ACCESS (1590K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

1. M. Taketani, S. Machida and S. Ohnuma, Prog. Theor. Phys. 7 (1952), 45[PTP].
2. K. A. Brueckner and K. M. Watson, Phys. Rev. 92 (1953), 1023[APS].
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8. For example, see J. M. Blatt and V. F. Weisskopf, “Theoretical nuclear physics”, 1952, New York, Chapter II.
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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 12 No. 4 (1954) pp. 521-536 :

   Phenomenological Analysis of the Meson Theory of Nuclear Force

   Shoichiro Otsuki and Saburo Fujii

2. Progress of Theoretical Physics Vol. 12 No. 6 (1954) pp. 806-808 :

   Meson Theoretical Potentials in Triplet Odd State

   Shoichiro Otsuki and Ryozo Tamagaki

3. Progress of Theoretical Physics Vol. 13 No. 1 (1955) pp. 79-92 :

   The Properties of the Meson Theoretical Potentials in Li⁶

   Shoichiro Otsuki, Tatsuro Sawada and Syota Suekane

4. Progress of Theoretical Physics Vol. 14 No. 1 (1955) pp. 52-64 :

   On the Meson-Theoretical Potentials

   Shoichiro Otsuki and Ryozo Tamagaki

5. Progress of Theoretical Physics Vol. 20 No. 2 (1958) pp. 181-191 :

   Neutron-Proton Scattering and Pion Theory of Nuclear Forces

   Wataro Watari

6. Progress of Theoretical Physics Vol. 43 No. 1 (1970) pp. 39-52 :

   One-Boson-Exchange-Type Potential in Triplet Even State

   Yosuke Kishi

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