Finite range momentum and density dependent effective interaction and analysis of nuclear incompressibility

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From empirically determined values of some of the characteristic constants associated with homogeneous nuclear matter at saturation and subsaturation densities, within the framework of a Skyrme-inspired energy density functional, we construct an equation of state (EoS) of nuclear matter.This EoS is then used to predict values of density slope parameters of symmetry energy L(ρ), isoscalar incompressibility K(ρ), and a few related quantities. The close consonance of our predicted values with the currently available ones for the density dependence of symmetry energy and incompressibility gleaned from diverse approaches offers the possibility that our method may help in settling their values in tighter bounds. Extrapolation of our EoS at supranormal densities shows that it is in good harmony with the one extracted from experimental data.

Section: A Nuclear Matter: Density Derivatives Of Symmetry Energy Ansupporting

confidence: 80%

Section: Resultsmentioning

confidence: 43%

Equation of state of nuclear matter from empirical constraints

Alam

Agrawal

et al. 2014

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“…The Seyler-Blanchard [19] interaction has also been very successfully used by Myers and Swiatecki [20,21] in the context of the nuclear mass formula. The modified version of this interaction (SBM) is found to reproduce the ground state binding energies, charge rms radii, Giant Monopole Resonance (GMR) energies etc., very well for a host of nuclei from 16 O to very heavy systems [14,22]. The properties of pure neutron matter calculated with this type of interaction is also seen to be in good agreement [23] with those obtained from other sophisticated interactions.…”

Section: A Effective Interactionssupporting

confidence: 66%

“…[13]. The parameter κ is obtained by reproducing the giant monopole resonance energies of a large number of nuclei employing the scaling model [22]. The parameters of the interaction are listed in Table. I.…”

Section: A Effective Interactionsmentioning

confidence: 99%

Temperature dependence of the symmetry energy of finite nuclei

Samaddar

2012

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The temperature dependence of the symmetry energy and the symmetry free energy coefficients of atomic nuclei is investigated in a finite temperature Thomas-Fermi framework employing the subtraction procedure. A substantial decrement in the symmetry energy coefficient is obtained for finite systems, contrary to those seen for infinite nuclear matter at normal and somewhat subnormal densities. The effect of the coupling of the surface phonons to the nucleonic motion is also considered; this is found to decrease the symmetry energies somewhat at low temperatures.

“…This may be understood by examining the asymmetry dependence of the incompressibility K A of finite nuclei. It can be written in powers of A −1/3 with a liquid-drop type expansion [36][37][38]:…”

Section: Resultsmentioning

confidence: 99%

Density reorganization in hot nuclei

Samaddar

Viñas

et al. 2007

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The density profile of a hot nuclear system produced in intermediate-energy heavy ion collisions is studied in a microcanonical formulation with a momentum and density dependent finite range interaction. The caloric curve and density evolution with excitation are calculated for a number of systems for the equilibrium mononuclear configuration; they compare favorably with the recent experimental data. The studied density fluctuations are seen to build up rapidly beyond an excitation energy of ∼8 MeV/u indicating the instability of the system toward nuclear disassembly. Explicit introduction of deformation in the expansion path of the heated nucleus, however, shows that the system might fragment even earlier. We also explore the effects of the nuclear equation of state and of the mass and isospin asymmetry on the nuclear equilibrium configuration and the relevant experimental observables.