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Relativistic Mean-Field Theory and the High-Density Nuclear Equation of State

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arxiv nucl-th/9603037 v1 pith:4OXCPFUZ submitted 1996-03-22 nucl-th

Relativistic Mean-Field Theory and the High-Density Nuclear Equation of State

classification nucl-th
keywords nuclearhigh-densitymatterneutrondensitydependenceenergyequation
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The properties of high-density nuclear and neutron matter are studied using a relativistic mean-field approximation to the nuclear matter energy functional. Based on ideas of effective field theory, nonlinear interactions between the fields are introduced to parametrize the density dependence of the energy functional. Various types of nonlinearities involving scalar-isoscalar ($\sigma$), vector-isoscalar ($\omega$), and vector-isovector ($\rho$) fields are studied. After calibrating the model parameters at equilibrium nuclear matter density, the model and parameter dependence of the resulting equation of state is examined in the neutron-rich and high-density regime. It is possible to build different models that reproduce the same observed properties at normal nuclear densities, but which yield maximum neutron star masses that differ by more than one solar mass. Implications for the existence of kaon condensates or quark cores in neutron stars are discussed.

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