Properties of hot finite nuclei and associated correlations with infinite nuclear matter

Abstract

This work aim to study the various thermal characteristics of nuclei in view of the saturation and critical behavior of infinite nuclear matter. The free energy of a nucleus is parametrized using the density and temperature-dependent liquid-drop model and interaction among nucleons is worked out within the effective relativistic mean-field theory (E-RMF). The effective mass (m,${}^{\ast }$) and critical temperature of infinite symmetric nuclear matter ($T_c$) of a given E-RMF parameter force play a seminal role in the estimation of thermal properties. A larger (m${}^{\ast }$) and $T_c$ of the E-RMF set estimate larger excitation energy, level density, and limiting temperature $(T_l)$ for a given nucleus. The limiting temperature of a nucleus also depends on the behavior of the nuclear gas surrounding the nucleus, making the equation of state (EoS) at subsaturation densities an important input. A stiff EoS in the subsaturation region estimates a higher pressure of the nuclear gas making it less stable. Since the $T_c$ plays an important part in these calculations, we perform a Pearson correlation statistical study of fifteen E-RMF parameter sets, satisfying the relevant constraint on EoS. Effective mass seems to govern the thermal characteristics of infinite as well as finite nuclear matter in the framework of E-RMF theory.

arXiv comment13 pages, 9 figures

References in corpus (43)

• Neutron-Rich Nuclei in Heaven and Earth
• Relativistic Mean-Field Hadronic Models under Nuclear Matter Constraints
• The effective force NL3 revisited
• A Chiral Effective Lagrangian for Nuclei
• Relativistic effective interaction for nuclei, giant resonances, and neutron stars
• Chiral interactions up to next-to-next-to-next-to-leading order and nuclear saturation
• Supernova Simulations with Boltzmann Neutrino Transport: A Comparison of Methods
• Building relativistic mean field models for finite nuclei and neutron stars
• Caloric curves and critical behavior in nuclei
• Cluster Formation and The Virial Equation of State of Low-Density Nuclear Matter
• GW190814: Impact of a 2.6 solar mass neutron star on nucleonic equations of state
• Constraining URCA cooling of neutron stars from the neutron radius of 208Pb
• The liquid to vapor phase transition in excited nuclei
• Limiting temperatures and the Equation of State of Nuclear Matter
• The Nuclear Spin-Orbit Force in Chiral Effective Field Theories
• Isotopic Scaling and the Symmetry Energy in Spectator Fragmentation
• New relativistic effective interaction for finite nuclei, infinite nuclear matter and neutron stars
• Signals for a Transition from Surface to Bulk Emission in Thermal Multifragmentation
• The pasta phase within density dependent hadronic models
• Asymmetric nuclear matter and neutron-skin in extended relativistic mean field model
• Nuclear thermodynamics from chiral low-momentum interactions
• Isotopic Dependence of the Nuclear Caloric Curve
• New parameterization of the effective field theory motivated relativistic mean field model
• Critical Temperature for the Nuclear Liquid-Gas Phase Transition
• Liquid-Gas phase transition in nuclei
• Chiral thermodynamics of nuclear matter
• Microscopic predictions of the nuclear matter liquid-gas phase transition
• Asymmetric nuclear matter in the relativistic mean field approach with vector cross-interaction
• Excitation energy dependence of symmetry energy of finite nuclei
• Effective interaction dependence of the liquid-gas phase transition in symmetric nuclear matter
• Insensitivity of the elastic proton-nucleus reaction to the neutron radius of 208Pb
• Direct Evidence of Washing out of Nuclear Shell Effects
• Caloric Curve for Finite Nuclei in Thomas-Fermi Theory
• Temperature dependence of symmetry energy of finite nuclei
• Limiting temperature from microscopic equation of state
• Multiplicity Derivative: A new signature of first order phase transition in intermediate energy heavy ion collision
• Correlations between critical parameters and bulk properties of nuclear matter
• Nuclear multifragmentation and fission: similarity and differences
• Study of hot thermally fissile nuclei using relativistic mean field theory
• Thermal effects in hot and dilute homogeneous asymmetric nuclear matter
• Critical Properties of Symmetric Nuclear Matter in Low-Density Regime Using Effective-Relativistic Mean Field Formalism
• The effects of medium on nuclear properties in multifragmentation
• Nuclear energy release from fragmentation

Cited by in corpus (1)

• Impact of microscopic structural transitions on particle stability and lifetimes of hot nuclei