dorsal/arxiv
View SchemaSPA+RPA approach to canonical and grandcanonical treatments of nuclear level densities
| Authors | B. K. Agrawal, P. K. Sahu |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9504008 |
| URL | https://arxiv.org/abs/nucl-th/9504008 |
| DOI | 10.1016/0370-2693(95)00406-B |
Abstract
Using an exactly solvable pairing model Hamiltonian in the static path approximation together with small-amplitude quantal fluctuation corrections in random phase approximation (SPA+RPA), we have analyzed the behaviour of canonical (number projected) and grandcanonical treatments of nuclear level densities as a function of temperature and number of particles. For small particle numbers at a low temperature, we find that though the grandcanonical partition function in SPA+RPA approach is quite close to its exact value, the small errors in its estimation causes significant suppression of level density obtained using number projected partition function. The results are also compared with the smoothed out exact values of level density. Within this model study, it appears that due to saddle point approximation to multiple Laplace-back transform, the grandcanonical treatment of level density at low temperature may be reliable only for relatively large number of particles.
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"abstract": "Using an exactly solvable pairing model Hamiltonian in the static path\napproximation together with small-amplitude quantal fluctuation corrections in\nrandom phase approximation (SPA+RPA), we have analyzed the behaviour of\ncanonical (number projected) and grandcanonical treatments of nuclear level\ndensities as a function of temperature and number of particles. For small\nparticle numbers at a low temperature, we find that though the grandcanonical\npartition function in SPA+RPA approach is quite close to its exact value, the\nsmall errors in its estimation causes significant suppression of level density\nobtained using number projected partition function. The results are also\ncompared with the smoothed out exact values of level density. Within this model\nstudy, it appears that due to saddle point approximation to multiple\nLaplace-back transform, the grandcanonical treatment of level density at low\ntemperature may be reliable only for relatively large number of particles.",
"arxiv_id": "nucl-th/9504008",
"authors": [
"B. K. Agrawal",
"P. K. Sahu"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/0370-2693(95)00406-B",
"title": "SPA+RPA approach to canonical and grandcanonical treatments of nuclear level densities",
"url": "https://arxiv.org/abs/nucl-th/9504008"
},
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