The Two-Pion Exchange NN-Potential in Nuclear Matter and Nuclear Stability

Abstract

A meson exchange model of the $\pi \pi$ interaction which fits free $\pi \pi$ scattering data is used to calculate the interactions of pions in nuclear matter as a function of nuclear density. Polarization of the nuclear medium by the pions results in a marked increase in the s-wave $\pi \pi$ attraction at low energy. The influence of this effect on the nucleon-nucleon interaction is a corresponding increase with density of the $NN$ central potential due to the exchange of two correlated pions, resulting in an $NN$ interaction which fails to saturate. A possible mechanism for restoring the theoretical stability of nuclear matter is explored and found to be effective.

19 pages LaTeX, 4 postscript figures

References in corpus (1)

• Pions in the nuclear medium

Cited by in corpus (6)

• Role of medium modifications for neutrino-pair processes from nucleon-nucleon bremsstrahlung - Impact on the protoneutron star deleptonization
• Enhancement of $\pi A\to \pi \pi A$ Threshold Cross Sections by In-Medium $\pi \pi$ Final State Interactions
• Nuclear Saturation with in-Medium Meson Exchange Interactions
• The Nuclear Central Force in the Chiral Limit
• Medium Modification of The Pion-Pion Interaction at Finite Density
• Two pion mediated scalar isoscalar NN interaction in the nuclear medium