dorsal/arxiv
View SchemaBreaking of nucleon Cooper pairs at finite temperature in 93-98Mo
| Authors | K. Kaneko, M. Hasegawa, U. Agvaanluvsan, E. Algin, R. Chankova, M. Guttormsen, A. C. Larsen, G. E. Mitchell, J. Rekstad, A. Schiller, S. Siem, A. Voinov |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0608002 |
| URL | https://arxiv.org/abs/nucl-th/0608002 |
| DOI | 10.1103/PhysRevC.74.024325 |
| Journal | Phys.Rev.C74:024325,2006 |
Abstract
The S shape of the canonical heat capacity is known as a signature of the pairing transition and along an isotopic chain it is significantly more pronounced for nuclei with an even number of neutrons than with an odd number. Although the heat capacities extracted from experimental level densities in 93-98Mo exhibit a clear S shape, they do not show such an odd-even staggering. To understand the underlying physics, we analyze thermal quantities evaluated from the partition function calculated using the static-path plus random-phase approximation (SPA+RPA) in a monopole pairing model with number-parity projection. The calculated level densities reproduce very well the experimental data and they also agree with estimates using the back-shifted Fermi-gas model. We clarify the reason why the heat capacities for Mo isotopes do not show odd-even staggering of the S shape. We also discuss thermal odd-even mass differences in 94-97Mo using the three-, four-, and five-point formula. These thermal mass differences are regarded as indicators of pairing correlations at finite temperature.
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"abstract": "The S shape of the canonical heat capacity is known as a signature of the\npairing transition and along an isotopic chain it is significantly more\npronounced for nuclei with an even number of neutrons than with an odd number.\nAlthough the heat capacities extracted from experimental level densities in\n93-98Mo exhibit a clear S shape, they do not show such an odd-even staggering.\nTo understand the underlying physics, we analyze thermal quantities evaluated\nfrom the partition function calculated using the static-path plus random-phase\napproximation (SPA+RPA) in a monopole pairing model with number-parity\nprojection. The calculated level densities reproduce very well the experimental\ndata and they also agree with estimates using the back-shifted Fermi-gas model.\nWe clarify the reason why the heat capacities for Mo isotopes do not show\nodd-even staggering of the S shape. We also discuss thermal odd-even mass\ndifferences in 94-97Mo using the three-, four-, and five-point formula. These\nthermal mass differences are regarded as indicators of pairing correlations at\nfinite temperature.",
"arxiv_id": "nucl-th/0608002",
"authors": [
"K. Kaneko",
"M. Hasegawa",
"U. Agvaanluvsan",
"E. Algin",
"R. Chankova",
"M. Guttormsen",
"A. C. Larsen",
"G. E. Mitchell",
"J. Rekstad",
"A. Schiller",
"S. Siem",
"A. Voinov"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.74.024325",
"journal_ref": "Phys.Rev.C74:024325,2006",
"title": "Breaking of nucleon Cooper pairs at finite temperature in 93-98Mo",
"url": "https://arxiv.org/abs/nucl-th/0608002"
},
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