Nuclear deformation at finite temperature

Abstract

Deformation, a key concept in our understanding of heavy nuclei, is based on a mean-field description that breaks the rotational invariance of the nuclear many-body Hamiltonian. We present a method to analyze nuclear deformations at finite temperature in a framework that preserves rotational invariance. The auxiliary-field Monte-Carlo method is used to generate the statistical ensemble and calculate the probability distribution associated with the quadrupole operator. Applying the technique to nuclei in the rare-earth region, we identify model-independent signatures of deformation and find that deformation effects persist to higher temperatures than the spherical-to-deformed shape phase-transition temperature of mean-field theory.

5 pages, 4 figures

References in corpus (13)

• Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction
• Monte Carlo evaluation of path integrals for the nuclear shell model
• Practical solution to the Monte Carlo sign problem: Realistic calculations of 54Fe
• Total and Parity-Projected Level Densities of Iron-Region Nuclei in the Auxiliary Fields Monte Carlo Shell Model
• Fission Barriers of Compound Superheavy Nuclei
• Particle-Number Reprojection in the Shell Model Monte Carlo Method: Application to Nuclear Level Densities
• Spin projection in the shell model Monte Carlo method and the spin distribution of nuclear level densities
• Heavy deformed nuclei in the shell model Monte Carlo method
• Crossover from vibrational to rotational collectivity in heavy nuclei in the shell-model Monte Carlo approach
• Thermal shape fluctuation effects in the description of hot nuclei
• Shell Model Monte Carlo Studies of $\gamma$-Soft Nuclei
• Large Nuclear shape transition at finite temperature in a relativistic mean field approach
• Quantum Monte Carlo Methods for Nuclei at Finite Temperature

Cited by in corpus (12)

• The Neutron-Rich Edge of the Nuclear Landscape. Experiment and Theory
• Probing triaxial deformation of atomic nuclei in high-energy heavy ion collisions
• The quest of shape coexistence in Zr isotopes
• Ab initio nuclear thermodynamics
• Statistical theory of deformation distributions in nuclear spectra
• Convergence of electric quadrupole rotational invariants from the nuclear shell model
• Shape coexistence in Sr isotopes
• Nuclear deformation in the laboratory frame
• Nuclear level densities: from empirical models to microscopic methods
• Quantum computing of the pairing Hamiltonian at finite temperatures
• Quantum techniques for eigenvalue problems
• Nuclear deformation in the configuration-interaction shell model