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Microsopic nuclear level densities by the shell model Monte Carlo method
Nuclear Theory · Submitted 1 Jan 2016
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We propose a method to use these distributions for calculating level densities as a function of intrinsic deformation.
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The abstract, sentence by sentence
The configuration-interaction shell model approach provides an attractive framework for the calculation of nuclear level densities in the presence of correlations, but the large dimensionality of the model space has hindered its application in mid-mass and heavy nuclei. The shell model Monte Carlo (SMMC) method permits calculations in model spaces that are many orders of magnitude larger than spaces that can be treated by conventional diagonalization methods. We discuss recent progress in the SMMC approach to level densities, and in particular the calculation of level densities in heavy nuclei. We calculate the distribution of the axial quadrupole operator in the laboratory frame at finite temperature and demonstrate that it is a model-independent signature of deformation in the rotational invariant framework of the shell model. We propose a method to use these distributions for calculating level densities as a function of intrinsic deformation.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The configuration-interaction shell model approach provides an attractive framework for the calculation of nuclear level densities in the presence of correlations, but the large dimensionality of the model space has hindered its application in mid-mass and heavy nuclei. | background 0.84 | 0.05 | 0.03 | asserted 0.99 |
| s1 | The shell model Monte Carlo (SMMC) method permits calculations in model spaces that are many orders of magnitude larger than spaces that can be treated by conventional diagonalization methods. | method 0.51 | 0.12 | 0.08 | asserted 0.98 |
| s2 | We discuss recent progress in the SMMC approach to level densities, and in particular the calculation of level densities in heavy nuclei. | contribution 0.94 | 0.41 | 0.09 | asserted 0.72 |
| s3 | We calculate the distribution of the axial quadrupole operator in the laboratory frame at finite temperature and demonstrate that it is a model-independent signature of deformation in the rotational invariant framework of the shell model. | result 0.78 | 0.93 | 0.24 | asserted 1.00 |
| s4 | We propose a method to use these distributions for calculating level densities as a function of intrinsic deformation. | contribution 0.79 | 0.71 | 0.24 | asserted 0.44 |
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The paper
Original abstract
The configuration-interaction shell model approach provides an attractive framework for the calculation of nuclear level densities in the presence of correlations, but the large dimensionality of the model space has hindered its application in mid-mass and heavy nuclei. The shell model Monte Carlo (SMMC) method permits calculations in model spaces that are many orders of magnitude larger than spaces that can be treated by conventional diagonalization methods. We discuss recent progress in the SMMC approach to level densities, and in particular the calculation of level densities in heavy nuclei. We calculate the distribution of the axial quadrupole operator in the laboratory frame at finite temperature and demonstrate that it is a model-independent signature of deformation in the rotational invariant framework of the shell model. We propose a method to use these distributions for calculating level densities as a function of intrinsic deformation.
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