General form of hybrid derivative coupling to study dense nuclear matter and its phase transition to quark matter

Journal Article · Mon Aug 01 04:00:00 EDT 1994 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.50.757· OSTI ID:7271555

Sarkar, S; Malakar, B ^[1]

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1. Department of Theoretical Physics, Indian Association for Cultivation of Science, Jadavpur, Calcutta 700032 (India)

We propose a general form of hybrid derivative coupling model of scalar mesons to various baryons in a field theoretical model to study nuclear matter. The strength of Yukawa point coupling and that of derivative coupling of scalar mesons to various baryons are taken in a suitable proportion characterized by a hybridization parameter [alpha]. Analytical relations are set up which express scalar and vector meson coupling constants, compression modulus and the parameter [alpha] in terms of empirical values for effective nucleon mass, energy per nucleon, and baryon density of normal nuclear matter. Density expansions of effective nucleon mass and energy per nucleon, incorporating terms up to eighth power in nuclear matter density, are given. We study equation of states of dense nuclear matter at zero temperature considering [Delta] resonances. We also investigate the phase transition from highly compressed nuclear matter to quark matter and its dependence on hybridization parameter [alpha] and also on coupling constants involving mesons and [Delta]'s. We determine equilibrium pressure, chemical potential, phase transition density,'' baryon densities, and energy densities of hadronic matter and quark matter which characterize the phase transition region. We also briefly discuss linear response of the nuclear system in the present model.

• OSTI ID: 7271555
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 50:2; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

662230* -- Quantum Chromodynamics-- (1992-)
663110 -- General & Average Properties of Nuclei & Nuclear Energy Levels-- (1992-)
663120 -- Nuclear Structure Models & Methods-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BOSONS
DENSITY
ELEMENTARY PARTICLES
HADRON-HADRON INTERACTIONS
HADRONS
HYBRIDIZATION
INTERACTIONS
MATTER
MESON-BARYON INTERACTIONS
MESONS
NUCLEAR MATTER
PARTICLE INTERACTIONS
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
QUARK MATTER
SCALAR MESONS
THERMODYNAMIC PROPERTIES