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

概要

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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 δ_3 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. δ_1 was not calculated in this paper.
理論物理学刊行会の論文
1960-09-25