Two-pion production processes, chiral symmetry and NN interaction in the medium

Abstract

We study the two-pion propagator in the nuclear medium. This quantity appears in the $\pi -\pi$ T-matrix and we show that it also enters the QCD scalar susceptibility. The medium effects on this propagator are due to the influence of the individual nucleon response to a scalar field through their pion clouds. This response is appreciably increased by the nuclear environment. It produces an important convergence effect between the scalar and pseudoscalar susceptibilities, reflecting the reshaping of the scalar strengh observed in $2\pi$ production experiments. While a large modification of the $\sigma$ propagator follows, due to its coupling to two pion states, we show that the NN potential remains instead unaffected.

arXiv comment14 pages, 4 figures, submitted to EPJ A

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Cited by in corpus (13)

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• Charm and hidden charm scalar mesons in the nuclear medium
• Double pion photoproduction off 40Ca
• QCD susceptibilities and nuclear matter saturation in a chiral theory: inclusion of pion loops
• The pi -> pi pi process in nuclei and the restoration of chiral symmetry
• Comparison of different relativistic models applied to dense nuclear matter
• Constraints on nuclear matter properties from QCD susceptibilities
• Scalar field in nuclear matter: the roles of spontaneous chiral symmetry breaking and nucleon structure
• Double pion photoproduction off nuclei - are there effects beyond final-state interaction?
• Relativistic Hartree-Fock Chiral Lagrangians with confinement, nucleon finite size and short-range effects
• In-Medium Properties of Hadrons
• From QCD phenomenology to nuclear physics phenomenology: the chiral confining model
• Hadrons in Nuclei: Experiments and Perspectives