In-medium pi-pi Correlation Induced by Partial Restoration of Chiral Symmetry

Abstract

We show that both the linear and the non-linear chiral models give an enhancement of the pi-pi cross section near the 2pi threshold in the scalar-iso-scalar (I=J=0) channel in nuclear matter. The reduction of the chiral condensate, i.e., the partial chiral restoration in nuclear matter, is responsible for the enhancement in both cases. We extract an effective 4pi-nucleon vertex which is responsible for the enhancement but has not been considered in the non-liear models for in-medium pi-pi interaction. Relation of this vertex and a next-to-leading order terms in the heavy-baryon chiral lagrangian, L_piN^(2), is also discussed.

5 pages, 5 eps figure, REVTeX

References in corpus (5)

• The $\pi \pi$ interaction in nuclear matter from a study of the ${\pi }^{+}A\to {\pi }^{+}{\pi }^{\pm }{A}^{\prime }$ reactions
• Scalar Isoscalar pion pairs in nuclei and the A(pi,pipi)X reaction
• Dropping Sigma-Meson Mass and In-Medium S-Wave pion-pion Correlations
• Medium Modification of The Pion-Pion Interaction at Finite Density
• Renormalization of the f0(980) and a0(980) scalar resonances in a nuclear medium

Cited by in corpus (35)

• Hadron properties in the nuclear medium
• In-medium chiral perturbation theory beyond the mean-field approximation
• On the size of the sigma meson and its nature
• In-medium Pion and Partial Restoration of Chiral Symmetry
• Medium effects to N(1535) resonance and eta mesic nuclei
• Charm and hidden charm scalar mesons in the nuclear medium
• Formation of mesic nuclei by (γ,p) reactions
• eta-Nucleus interactions and in-medium properties of N*(1535) in chiral models
• Level crossing of particle-hole and mesonic modes in eta mesic nuclei
• Finite Temperature Pion Scattering to one-loop in Chiral Perturbation Theory
• Chiral condensate at finite density using chiral Ward identity
• Sound velocity peak and conformality in isospin QCD
• Electroweak properties of pions in a nuclear medium
• Low-energy pi pi photoproduction off nuclei
• Possibility of s-wave pion condensates in neutron stars revisited
• Pion scattering poles and chiral symmetry restoration
• Nature of the sigma meson as revealed by its softening process
• Pion properties at finite nuclear density based on in-medium chiral perturbation theory
• Second sheet $\sigma$ pole and the threshold enhancement of the spectral function in the scalar-isoscalar meson-sector
• Simultaneous Softening of sigma and rho Mesons associated with Chiral Restoration
• The pi -> pi pi process in nuclei and the restoration of chiral symmetry
• Two-pion production processes, chiral symmetry and NN interaction in the medium
• Spectral functions in the sigma-channel near the critical end point
• The s-wave pion-nucleus optical potential
• Evaluation of the $\pi \pi$ scattering amplitude in the $\sigma$-channel at finite density
• Chiral Symmetry and light resonances in hot and dense matter
• Medium effects to the N(1535) resonance and eta mesic nuclei
• Formation of sigma Mesic Nuclei in (d,t) and (d,^3He) Reactions
• Density dependence of the quark condensate in isospin-asymmetric nuclear matter
• Unitarized chiral perturbation theory of hadrons
• $\pi \to \pi \pi$ results in nuclei
• Electroweak properties of kaons in a nuclear medium
• Nature of the D_0 meson in the D pi scattering with chiral symmetry
• Final State Interactions in Pion Production from Nuclei
• Mesons in Nuclei and Partial Restoration of Chiral Symmetry