Thermal shape fluctuation effects in the description of hot nuclei

Abstract

The behavior of several nuclear properties with temperature is analyzed within the framework of the Finite Temperature Hartree-Fock-Bogoliubov (FTHFB) theory with the Gogny force and large configuration spaces. Thermal shape fluctuations in the quadrupole degree of freedom, around the mean field solution, are taken into account with the Landau prescription. As representative examples the nuclei ${}^{164}$Er, ${}^{152}$Dy and ${}^{192}$Hg are studied. Numerical results for the superfluid to normal and deformed to spherical shape transitions are presented. We found a substantial effect of the fluctuations on the average value of several observables. In particular, we get a decrease in the critical temperature ($T_c$) for the shape transition as compared with the plain FTHFB prediction as well as a washing out of the shape transition signatures. The new values of $T_c$ are closer to the ones found in Strutinsky calculations and with the Pairing Plus Quadrupole model Hamiltonian.

17 pages, 8 Figures

References in corpus (1)

• Shape Transition in Rare-Earth Nuclei in Relativistic Mean Field Theory

Cited by in corpus (29)

• Microscopic Theory of Nuclear Fission: A Review
• Microscopic justification of the Equal Filling approximation
• Mean field and beyond description of nuclear structure with the Gogny force: A review
• Fission Barriers of Compound Superheavy Nuclei
• Solution of the Skyrme-Hartree-Fock-Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis. (VII) HFODD (v2.49t): a new version of the program
• Third minima in thorium and uranium isotopes in a self-consistent theory
• Systematic Study of Fission Barriers of Excited Superheavy Nuclei
• Pairing transitions in the finite-temperature relativistic Hartree-Bogoliubov theory
• Description of Induced Nuclear Fission with Skyrme Energy Functionals: II. Finite Temperature Effects
• Pairing phase transition: A Finite-Temperature Relativistic Hartree-Fock-Bogoliubov study
• Shape transition with temperature of the pear-shaped nuclei in covariant density functional theory
• Pairing and specific heat in hot nuclei
• Nuclear deformation at finite temperature
• Re-appearance of the pairing correlations at finite temperature
• Effect of temperature on the effective mass and the neutron skin of nuclei
• Thermodynamics of small superconductors with fixed particle number
• Reappraisal of the limit on the variation in $\alpha$ implied by Oklo
• Finite-temperature linear response theory based on relativistic Hartree Bogoliubov model with point-coupling interaction
• Nuclear deformation in the laboratory frame
• Shape evolutions of ${}^{72,74}$Kr with temperature in the covariant density functional theory
• Clustering in nuclei at finite temperature
• The local and global geometrical aspects of the twin paradox in static spacetimes: I. Three spherically symmetric spacetimes
• Microscopic description of neutron emission rates in compound nuclei
• Polarised Electromagnetic wave propagation through the ferromagnet: Phase boundary of dynamic phase transition
• Finite-temperature mean-field approximations for shell model Hamiltonians: the code HF-SHELL
• Temperature evolution of the nuclear shell structure and the dynamical nucleon effective mass
• Quantum computing of the pairing Hamiltonian at finite temperatures
• Measurement of strong coupling constant by using event shape moments in perturbative theory
• Lateral Casimir Force between Two Sinusoidally Corrugated Eccentric Cylinders Using Proximity Force Approximation