Calculation of microscopic nuclear level densities based on covariant density functional theory

Abstract

A microscopic method for calculating nuclear level density (NLD) based on the covariant density functional theory (CDFT) is developed. The particle-hole state density is calculated by combinatorial method using the single-particle levels schemes obtained from the CDFT. Then the level densities are obtained by taking into account collective effects such as vibration and rotation. Our results are compared with those from other NLD models, including phenomenological, microstatistical, and non-relativistic HFB combinatorial models. The comparison suggests that the general trends among these models are basically the same, except for some deviations from different NLD models. In addition, the NLDs of the CDFT combinatorial method with normalization are compared with experimental data, including the observed cumulative number of levels at low excitation energy and the measured NLDs. Compared with the existing experimental data, the CDFT combinatorial method can give reasonable results.

arXiv comment9 pages, 8 figures

References in corpus (28)

• Nuclear ground-state masses and deformations: FRDM(2012)
• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Relativistic Nuclear Energy Density Functionals: Mean-Field and Beyond
• New effective interactions in RMF theory with non-linear terms and density-dependent meson-nucleon coupling
• The effective force NL3 revisited
• DIRHB -- a relativistic self-consistent mean-field framework for atomic nuclei
• Spin symmetry in the anti-nucleon spectrum
• Progress on tilted axis cranking covariant density functional theory for nuclear magnetic and antimagnetic rotation
• Anomaly in the charge radii of Pb isotopes
• Towards an ab initio covariant density functional for nuclear structure
• Dynamics of nuclear single-particle structure in covariant theory of particle-vibration coupling: from light to superheavy nuclei
• Random Matrices and Chaos in Nuclear Spectra
• Particle-Number Reprojection in the Shell Model Monte Carlo Method: Application to Nuclear Level Densities
• Thermal properties and radiative strengths in 160,161,162Dy
• Thermal and electromagnetic properties of 166-Er and 167-Er
• Level densities and thermodynamical quantities of heated 93-98Mo isotopes
• Transitional $\gamma$ strength in Cd isotopes
• Level densities and $\gamma$-ray strength functions in Sn isotopes
• Estimating the nuclear level density with the Monte Carlo shell model
• Level densities and $\gamma$-ray strength functions in ${}^{170,171,172}$Yb
• Microcanonical entropies and radiative strength functions of ${}^{50,51}$V
• Statistical structure and $\gamma$-decay properties of closed shell Pb nuclei
• Stochastic Estimation of Nuclear Level Density in the Nuclear Shell Model: An Application to Parity-Dependent Level Density in ${}^{58}$Ni
• Shell Model Monte Carlo Investigation of Rare Earth Nuclei
• Relativistic description of magnetic moments in nuclei with doubly closed shells plus or minus one nucleon
• Magnetic moments of ${}^{33}$Mg in time-odd relativistic mean field approach
• Combinatorial nuclear level density by a Monte Carlo method
• Microscopic model for the collective enhancement of nuclear level densities

Cited by in corpus (7)

• Global prediction of nuclear charge density distributions using deep neural network
• Nuclear level density from relativistic density functional theory and combinatorial method
• Inference of Parameters for Back-shifted Fermi Gas Model using Feedback Neural Network
• Impact of intrinsic electromagnetic structure on the nuclear charge radius in relativistic density functional theory
• Predictions of charge density distributions for nuclei with $Z\ge 8$
• Exploring the Diversity of Nuclear Density through Information Entropy
• The coexistence of possible magnetic and chiral rotation in ${}^{129}\mathrm{Cs}$ and ${}^{131}\mathrm{La}$: a microscopic investigation