The dispersion relation of the pion in nuclear matter

Abstract

We put forward a formalism to calculate the relativistic particle -hole and deltahole excitation polarization insertion for pion propagator by using the particle -holeantiparticle 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.

Influence of a polarization operator’s imaginary part on dispersion equation solutions

“…It is instructive to compare ω s (k) with the solutions of the widely used dispersion equation including the real part of the polarization operator only [7,8,18] :…”

“…In some papers in which the pion dispersion equations are considered [8,18], the equations with the real part of the polarization operator (similar to Eq. (10)) are used.…”

“…One of the direction of the further development of this theory consisted in application of RPA to the problem of the zero-sound mode propagation [2,3]. The problem of the propagation and spreading of the zero-sounded excitations in the various media, at the different temperatures and energies, is now a subject of the active investigations [4]- [8].…”

The Collective Excitation Spectra of σ, ω and π Mesons in Nuclear Matter

“…We have made a series of study on this subject for σ, ω meson [11,12] and pion [13]. The collective excitation spectra of nuclear matter can be obtained by the trajectory of the pole of meson propagators.…”

NN¯,Δ¯N,ΔNLiang-Gang1, Luo2, Zhou3 et al. 1997Phys. Rev. CSelf Cite2000View full textAdd to dashboardCite

“…We put forth a new method and calculated the dimensonic function [5] and pion propagator [6] with an analytical expression for relativistic ph excitation. We have extended this formalism to study the pion propagator in nuclear matter [9]. Besides ph excitation, the delta-hole (∆h) excitation channel will open and play a dominant role for pion propagator.…”