Two Pion versus σ-Meson Exchange Potentials

Sachiko Oshima¹, Takehisa Fujita², Naohiro Kanda², Akihiro Yoshimi³

¹College of Industrial Technology, Nihon University, Chiba, Japan.
²Department of Physics, Faculty of Science and Technology, Nihon University, Tokyo, Japan.
³Research Core for Extreme Quantum World, Okayama University, Okayama, Japan.

DOI: 10.4236/jmp.2015.67097                

Abstract

The two pion exchange potentials are evaluated by carrying out the numerical integrations of three Feynman parameters in the corresponding Feynman diagrams. The two pion exchange potentials give rise to the attractive force which is quite similar to the effective scalar meson with its mass of m_s≃4.7m_π and its strength of at T = 0 channel. However, there is a strong isospin dependence of (t₁·t₂)² which should be different from the phenomenological σ-meson exchange calculations. Therefore, the medium range attraction of the T = 0 nuclear interaction should be due to the two pion exchange processes, but the T = 1 channel is still an open problem.

Keywords

Nucleon-Nucleon Interactions, Nuclear Forces

Conflicts of Interest

The authors declare no conflicts of interest.

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