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Prog. Theor. Phys. Vol. 24 No. 3 (1960) pp. 495-511

[ Full Text PDF : FREE ACCESS (874K) ]

Collective Correlation between Vacuum Nucleons and the S-Wave Pion-Nucleon Scattering

Osamu Hara

Department of Physics, Nihon University, Tokyo

(Received March 26, 1960)

Abstract:

Scattering of S-wave pion by nucleon was calculated taking into account the collective correlation between vacuum nucleons. The point is that there can exist a strong collective correlation between vacuum nucleons just as between electrons in metal at the absolute zero of temperature, since interaction between vacuum nucleons due to pion is dominantly attractive. The effect of this correlation was calculated using Bogoliubov's method which was very successful in the theory of superconductivity. The phase shift δ3 was calculated using Tamm-Dancoff approximation including up to two pions and one nucleon pair.
It was shown that by taking into account this effect, the result of Dyson et al. using the same approximation was improved greatly, and an overall agreement with experiment was obtained. δ1 was not calculated in this paper.


URL : http://ptp.ipap.jp/link?PTP/24/495/
DOI : 10.1143/PTP.24.495

[ Full Text PDF : FREE ACCESS (874K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 24 No. 6 (1960) pp. 1262-1274 :
    Pion-Nucleon Scattering and Pion-Pion Interaction
    Shin Ishida

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