The dispersion relation of pion in nuclear matter

Abstract

We put forward a formalism to calculate the relativistic particle - hole and delta - hole excitation polarization insertion for pion propagator by using the particle - hole - antiparticle representation of nucleon and delta propagators in nuclear matter. The real and the imaginary part of the polarization insertion and the dispersion relation for pion propagator are calculated numerically. We find that the short range correlation enhances the delta - hole excitation but suppresses the particle - hole excitation, it also suppresses the pion condensation. We find that the effect of the short range correlation on the pion dispersion relation depends very much on the form of the short range correlation and the parameters involved.

Latex, 7 eps files

References in corpus (1)

• The Delta-Hole model at Finite Temperature

Cited by in corpus (5)

• Isospin mode splitting and mixing in asymmetric nuclear matter
• Investigation of Zero-Sound Dispersion Equation in the Complex Plane of Frequency
• Effects of Dirac sea on pion propagation in asymmetric nuclear matter
• Solutions of the dispersion equation in the region of overlapping of zero-sound and particle-hole modes
• N N bar,Delta bar N, Delta N bar excitation for the pion propagator in nuclear matter