Pion-Pion Interaction and Nuclear Forces

概要

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Nuclear potentials arising from the pion-pion resonance in the state I=J=1 are calculated. Only the part proportional to ττ is considered. The resonant state is described both in the ρ-meson formalism and in the chain approximation method. The potentials are calculated explicitly in configuration space, at first in the ρ-meson formalism with its mass 600 Mev and the strength of coupling which corresponds to the width ~60 Mev. The potentials are found to be of the nature of the two-pion exchange potentials. In particular there appear a strong attractive L-S potential and a repulsive central potential in the ^<3>O-state, a strong repulsive tensor potential in the ^<3>E-state, and a repulsive L-dependent potential in the ^<1>E-state. Among these the tensor potential in the ^<3>E-state and the central potential in the ^<3>O-state can be considered to be too strong and violate some of the facts which have already been established. Therefore a careful examination of the results will offer a test for or against the assumption of the pion-pion resonance. The chain approximation method gives similar results. The electromagnetic form factors of the nucleon are reexamined and a remark is made concerning future investigation.
理論物理学刊行会の論文
1961-03-25