Total and Parity-Projected Level Densities of Iron-Region Nuclei in the Auxiliary Fields Monte Carlo Shell Model

Nakada, H.; Alhassid, Y.

doi:10.1103/physrevlett.79.2939

Cited by 155 publications

(203 citation statements)

References 19 publications

Supporting

Mentioning

194

Contrasting

Order By: Relevance

“…The purpose of the present work is to understand the temperature dependence of the moment of inertia in terms of a simple model. We note, however, that at the lowest temperatures the SMMC calculations reveal deviations from the spin-cutoff model (1), which are beyond the scope of the model discussed here.…”

Section: Formal Aspectsmentioning

confidence: 62%

Nuclear moment of inertia and spin distribution of nuclear levels

et al. 2005

Self Cite

View full text Add to dashboard Cite

We introduce a simple model to calculate the nuclear moment of inertia at finite temperature. This moment of inertia describes the spin distribution of nuclear levels in the framework of the spincutoff model. Our model is based on a deformed single-particle Hamiltonian with pairing interaction and takes into account fluctuations in the pairing gap. We derive a formula for the moment of inertia at finite temperature that generalizes the Belyaev formula for zero temperature. We show that a number-parity projection explains the strong odd-even effects observed in shell model Monte Carlo studies of the nuclear moment of inertia in the iron region.

show abstract

Section: Formal Aspectsmentioning

confidence: 62%

Nuclear moment of inertia and spin distribution of nuclear levels

et al. 2005

Self Cite

View full text Add to dashboard Cite

show abstract

“…This limitation can be overcome in part by using the shell model Monte Carlo (SMMC) method [1][2][3][4][5]. The SMMC method enables the calculation of statistical nuclear properties, and in particular of level densities, in very large model spaces [6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

“…Statistical and collective properties of nuclei can be reliably calculated [6,13] by employing a class of interactions that have a good Monte Carlo sign in the grand-canonical formulation [2,13]. The projection on an even number of particles keeps the good sign of the interaction, allowing accurate calculations for even-even nuclei.…”

Section: Introductionmentioning

confidence: 99%

Nuclear state densities of odd-mass heavy nuclei in the shell model Monte Carlo approach

2015

Self Cite

View full text Add to dashboard Cite

The shell model Monte Carlo (SMMC) approach enables the microscopic calculation of nuclear state densities in model spaces that are many orders of magnitude larger than those that can be treated by conventional diagonalization techniques. However, it has been difficult to calculate accurate state densities of odd-mass heavy nuclei as a function of excitation energy. This is because of a sign problem that arises from the projection on an odd number of particles at low temperatures, making it difficult to calculate accurate ground-state energies of odd-mass nuclei in direct Monte Carlo calculations. Here we extract the ground-state energy from a one-parameter fit of the SMMC thermal energy to the thermal energy that is determined from experimental data. This enables us to calculate the state densities of the odd-even isotopes 149−155 Sm and 143−149 Nd as a function of excitation energy. We find close agreement with state densities extracted from experimental data. Our results demonstrate that the state densities of the odd-mass samarium and neodymium isotopes can be consistently reproduced using the same Hamiltonian of the neighboring even-mass isotopes within the configuration-interaction shell model approach.

show abstract

“…This approach has proven to be particularly useful in the calculation of nuclear level densities [5][6][7][8][9]. Reliable microscopic calculations of the level density often require the inclusion of correlations beyond the mean-field approximation.…”

Section: Introductionmentioning

confidence: 99%

Nuclear Level Density of¹⁶¹Dy in the Shell Model Monte Carlo Method

Özen

Alhassid

Nakada

2012

EPJ Web of Conferences

Self Cite

View full text Add to dashboard Cite

Abstract.We extend the shell-model Monte Carlo applications to the rare-earth region to include the odd-even nucleus 161 Dy. The projection on an odd number of particles leads to a sign problem at low temperatures making it impractical to extract the ground-state energy in direct calculations. We use level counting data at low energies and neutron resonance data to extract the shell model ground-state energy to good precision. We then calculate the level density of 161 Dy and find it in very good agreement with the level density extracted from experimental data.

show abstract

Total and Parity-Projected Level Densities of Iron-Region Nuclei in the Auxiliary Fields Monte Carlo Shell Model

Cited by 155 publications

References 19 publications

Nuclear moment of inertia and spin distribution of nuclear levels

Nuclear moment of inertia and spin distribution of nuclear levels

Nuclear state densities of odd-mass heavy nuclei in the shell model Monte Carlo approach

Nuclear Level Density of¹⁶¹Dy in the Shell Model Monte Carlo Method

Contact Info

Product

Resources

About

Total and Parity-Projected Level Densities of Iron-Region Nuclei in the Auxiliary Fields Monte Carlo Shell Model

Cited by 155 publications

References 19 publications

Nuclear moment of inertia and spin distribution of nuclear levels

Nuclear moment of inertia and spin distribution of nuclear levels

Nuclear state densities of odd-mass heavy nuclei in the shell model Monte Carlo approach

Nuclear Level Density of161Dy in the Shell Model Monte Carlo Method

Contact Info

Product

Resources

About

Nuclear Level Density of¹⁶¹Dy in the Shell Model Monte Carlo Method