Transition to {Delta} matter from hot, dense nuclear matter within a relativistic mean field formulation of the nonlinear {sigma} and {omega} model

Journal Article · Mon Sep 01 04:00:00 EDT 1997 · Physical Review, C

DOI:https://doi.org/10.1103/PhysRevC.56.1570· OSTI ID:560988

Li, Z; Zhuo, Y ^[1]; Li, Z; Mao, G; Zhuo, Y ^[2]; Mao, G; Greiner, W ^[3]

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1. China Institute of Atomic Energy, P.O. Box 275 (18), Beijing 102413, People`s Republic of (China)
2. Institute of Theoretical Physics, Academia Sinica, P.O. Box 2735, Beijing 100080, People`s Republic of (China)
3. Institut fuer Theoretische Physik, Frankfurt University, D-60054 Frankfurt am Main (Germany)

An investigation of the transition to {Delta} matter is performed based on a relativistic mean field formulation of the nonlinear {sigma} and {omega} model. We demonstrate that in addition to the {Delta}-meson coupling, the occurrence of the baryon resonance isomer also depends on the nucleon-meson coupling. Our results show that for the favored phenomenological value of m{sup *} and K, the {Delta} isomer exists at baryon density {approximately}2{endash}3{rho}{sub 0} if {beta}=1.31 is adopted. For universal coupling of the nucleon and {Delta}, the {Delta} density at baryon density {approximately}2{endash}3{rho}{sub 0} and temperature {approximately}0.4{endash}0.5 fm{sup {minus}1} is about normal nuclear matter density, which is in accord with a recent experimental finding. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 560988
• Journal Information: Physical Review, C, Journal Name: Physical Review, C Journal Issue: 3 Vol. 56; ISSN PRVCAN; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
COUPLING
DELTA BARYONS
LAGRANGIAN FIELD THEORY
MEAN-FIELD THEORY
MESON-NUCLEON INTERACTIONS
NONLINEAR PROBLEMS
NUCLEAR MATTER
SIGMA MODEL