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Properties of rho and eta mesons in nuclear matter

Abstract

The properties of {rho}- and {eta}-mesons in nuclear matter are studied within the scope of hadronic models. Unknown model parameters are obtained from fits to scattering data. - The treatment of the {rho}-meson includes the coupling to two pions which, in matter, are strongly mixed with delta-particle-nucleon-hole states. The {rho}-meson self-energy is evaluated in a current conserving approximation with in-medium pion propagators and vertex corrections. While the position of the original peak in the spectral function remains almost unchanged, its width grows rapidly with increasing density. Consequently, the {rho}-meson strength function is strongly dispersed at high densities. Due to vertex corrections a new peak at a mass around 3m{sub {pi}} emerges with increasing density, while the spectral function around the two-pion threshold is found to be smooth at all densities. The {eta}-meson is strongly mixed with N{sup *}(1535)-particle-nucleon-hole states in nuclear matter. The corresponding dispersion relations with an upper and a lower branch look similar to those of the ({pi}, {Delta}N{sup -1})-modes. However, since the N{sup *} is an S-wave resonance in the {eta}N-channel, the repulsion of the two branches survives at zero momentum. (orig.)
Authors:
Herrmann, M; [1]  Sauermann, C; [1]  Friman, B L; [1]  Noerenberg, W [1] 
  1. Gesellschaft fuer Schwerionenforschung mbH, Darmstadt (Germany)
Publication Date:
Oct 01, 1993
Product Type:
Technical Report
Report Number:
GSI-93-73(prepr.); CONF-9309351-
Reference Number:
SCA: 663110; 663580; 663450; 663100; PA: DEN-94:0F4001; EDB-94:059423; NTS-94:020474; SN: 94001179943
Resource Relation:
Conference: International workshop on dynamical features of nuclei and finite Fermi systems,Sitges (Spain),13-17 Sep 1993; Other Information: PBD: Oct 1993
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; NUCLEAR MATTER; ETA MESONS; RHO-770 MESONS; GOLD 197 REACTIONS; PAIR PRODUCTION; GOLD 197 TARGET; DIFFERENTIAL CROSS SECTIONS; DISPERSION RELATIONS; EFFECTIVE MASS; MASS SPECTRA; PROPAGATOR; RESONANCE; S WAVES; SELF-ENERGY; SPECTRAL FUNCTIONS; STRENGTH FUNCTIONS; PION-PION INTERACTIONS; CONFIGURATION MIXING; EXCITONS; PARTICLE-HOLE MODEL; DELTA-1232 BARYONS; CORRECTIONS; VERTEX FUNCTIONS; N-1535 BARYONS; FEYNMAN DIAGRAM; ELECTRONS; POSITRONS; CAUSALITY; UNITARITY; LAGRANGIAN FIELD THEORY; VECTOR FIELDS; ELECTROMAGNETIC FIELDS; TEMPERATURE ZERO K; NUCLEAR TEMPERATURE; THEORETICAL DATA; GEV RANGE 100-1000; RELATIVISTIC RANGE; ANNIHILATION; S...; 663110; 663580; 663450; 663100; GENERAL AND AVERAGE PROPERTIES OF NUCLEI AND NUCLEAR ENERGY LEVELS; A = 190-219; HEAVY-ION-INDUCED REACTIONS AND SCATTERING; NUCLEAR STRUCTURE
OSTI ID:
10139903
Research Organizations:
Gesellschaft fuer Schwerionenforschung mbH, Darmstadt (Germany)
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
Other: ON: DE94756390; TRN: DE94F4001
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
DEN
Size:
13 p.
Announcement Date:
Apr 14, 1994

Citation Formats

Herrmann, M, Sauermann, C, Friman, B L, and Noerenberg, W. Properties of rho and eta mesons in nuclear matter. Germany: N. p., 1993. Web.
Herrmann, M, Sauermann, C, Friman, B L, & Noerenberg, W. Properties of rho and eta mesons in nuclear matter. Germany.
Herrmann, M, Sauermann, C, Friman, B L, and Noerenberg, W. 1993. "Properties of rho and eta mesons in nuclear matter." Germany.
@misc{etde_10139903,
title = {Properties of rho and eta mesons in nuclear matter}
author = {Herrmann, M, Sauermann, C, Friman, B L, and Noerenberg, W}
abstractNote = {The properties of {rho}- and {eta}-mesons in nuclear matter are studied within the scope of hadronic models. Unknown model parameters are obtained from fits to scattering data. - The treatment of the {rho}-meson includes the coupling to two pions which, in matter, are strongly mixed with delta-particle-nucleon-hole states. The {rho}-meson self-energy is evaluated in a current conserving approximation with in-medium pion propagators and vertex corrections. While the position of the original peak in the spectral function remains almost unchanged, its width grows rapidly with increasing density. Consequently, the {rho}-meson strength function is strongly dispersed at high densities. Due to vertex corrections a new peak at a mass around 3m{sub {pi}} emerges with increasing density, while the spectral function around the two-pion threshold is found to be smooth at all densities. The {eta}-meson is strongly mixed with N{sup *}(1535)-particle-nucleon-hole states in nuclear matter. The corresponding dispersion relations with an upper and a lower branch look similar to those of the ({pi}, {Delta}N{sup -1})-modes. However, since the N{sup *} is an S-wave resonance in the {eta}N-channel, the repulsion of the two branches survives at zero momentum. (orig.)}
place = {Germany}
year = {1993}
month = {Oct}
}