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On the relation between the long-wave instability and the pion condensation in nuclear matter

2002/01/10 by V. A. Sadovnikova, Sadovnikova, V. A.
Engineering · Physics and Astronomy · #FOS: Physical sciences #High-Energy Particle Collisions Research #Nuclear Theory (nucl-th) #Pulsars and Gravitational Waves Research #Superconducting Materials and Applications #nucl-th

paper · pdf · doi:10.48550/arxiv.nucl-th/0201023

17 pages, LaTeX, epsfig.sty, 10 complex figures

arxiv created 2002/01/10 · openalex publication_date 2002/01/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The solutions to the zero-sound frequency equation and pion dispersion equation are considered for the different values of the parameters of the effective particle-hole interaction. The branches of solutions, responsible for the long-wave instability [Pomeranchuk] of the nuclear matter ωP(k) are presented for the both equations. It is shown that in the pion dispersion equation the solutions ωP(k) result in the instability not only for values of the spin-isospin constant g'≤ -1/2, violating stability criteria, but for all g' < g'p (|g'p|≪ 1 and g'p < 0). At g' > g'p the branches ωP(k) turn into the solutions responsible for pion condensation.

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