The limiting Temperature of hot nuclei from microscopic Equation of State

Nicotra, O. E.; Baldo, M.; Ferreira, L. S.

doi:10.1016/j.nuclphysa.2004.12.018

Cited by 3 publications

(2 citation statements)

References 14 publications

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“…The nucleus, which resembles a hot liquid drop, expands because of thermal pressure and moves to the spinodal region where it is surrounded by a nucleon gas. As the spinodal is the region of instability, the nucleus explodes violently and the process is known as multi-fragmentation at freeze-out volume ≈ 7V 0 [13] There have been several qualitative attempts to study the limiting temperature of nuclei in terms of Coulomb instability, where the EoS of infinite matter is taken from various theoretical frameworks such as Skyrme effective NN interaction [14,15], microscopic EoS such as Friedman and Pandharipande, finite temperature relativistic Dirac-Brueckner, chiral perturbation theory [16][17][18], EoS considering the degeneracy of the Fermi system [19] relativistic calculations using quantum hadrodynamics and Thomas-Fermi approach [20][21][22], Gogny interactions [23], chiral symmetry model [24]. Some calculations have been carried out by analyzing the plateau in caloric curve obtained from various experimental observations [25].…”

Section: Introductionmentioning

confidence: 99%

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

2022

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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, * ) and critical temperature of infinite symmetric nuclear matter (Tc) of a given E-RMF parameter force play a seminal role in the estimation of thermal properties. A larger (m * ) and Tc 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 Tc 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.

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Section: Introductionmentioning

confidence: 99%

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

2022

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“…Furthermore, the nature of phase transition is also altered due to strong Coulomb interaction. In this context some authors prefer to define limiting temperature (T l ) instead of the critical temperature for the hot nuclei [28,29]. This is the maximum temperature above which Coulomb effects (together with the decrease in surface tension) lead to thermal dissociation of nuclei.…”

Section: Introductionmentioning

confidence: 99%

Critical properties of symmetric nuclear matter in low-density regime using effective-relativistic mean field formalism

Parmar¹,

Sharma²,

Patra³

2021

J. Phys. G: Nucl. Part. Phys.

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The effective field theory motivated relativistic mean-field (E-RMF) formalism is employed to study the equation of state (EoS) for the infinite symmetric nuclear matter (SNM) at finite temperature using the recently developed forces FSUGarnet, IOPB-I, G3, and the well known NL3 force parameter. The EoS is then used to estimate the critical temperature T c, pressure P c and density ρ c of the SNM for the liquid–gas phase transition. As T c is not a constrained parameter in both experiments and theoretical calculations, there is a large uncertainty around its value. Although, the critical parameters are correlated among themselves. It is revealed that vector self-coupling ζ 0 of used forces play determining role in EoS in finite temperature limit. Keeping the incompressibility in acceptable limit i.e. 240 ± 20 MeV, the lower value of ζ 0 gives a better result of T c when compared to the several experimental data. The critical parameters however show weak correlation with the properties at saturation density at zero temperature. The compressibility factors calculated with these parameters are in agreement with the universal value of liquid–gas systems. Stability conditions are examined along with binodal and spinodal regions. Besides this, the thermodynamic properties like specific heat and latent heat are also worked out. We have carried out detailed consistency check of our calculations using critical exponents and standard scaling laws. All the exponents are well within the theoretical mean-field results.

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Nuclear Data Sheets for A = 140

Nica

2007

Nuclear Data Sheets

104

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The limiting Temperature of hot nuclei from microscopic Equation of State

Cited by 3 publications

References 14 publications

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

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

Critical properties of symmetric nuclear matter in low-density regime using effective-relativistic mean field formalism

Nuclear Data Sheets for A = 140

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