dorsal/arxiv
View SchemaPairing correlations in N~Z pf-shell nuclei
| Authors | K. Langanke, D. J. Dean, S. E. Koonin, P. B. Radha |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9610006 |
| URL | https://arxiv.org/abs/nucl-th/9610006 |
| DOI | 10.1016/S0375-9474(96)00442-3 |
| Journal | Nucl.Phys. A613 (1997) 253-266 |
Abstract
We perform Shell Model Monte Carlo calculations to study pair correlations in the ground states of $N=Z$ nuclei with masses A=48-60. We find that $T=1$, $J^{\pi}=0^+$ proton-neutron correlations play an important, and even dominant role, in the ground states of odd-odd $N=Z$ nuclei, in agreement with experiment. By studying pairing in the ground states of $^{52-58}$Fe, we observe that the isovector proton-neutron correlations decrease rapidly with increasing neutron excess. In contrast, both the proton, and trivially the neutron correlations increase as neutrons are added. We also study the thermal properties and the temperature dependence of pair correlations for $^{50}$Mn and $^{52}$Fe as exemplars of odd-odd and even-even $N=Z$ nuclei. While for $^{52}$Fe results are similar to those obtained for other even-even nuclei in this mass range, the properties of $^{50}$Mn at low temperatures are strongly influenced by isovector neutron-proton pairing. In coexistence with these isovector pair correlations, our calculations also indicate an excess of isoscalar proton-neutron pairing over the mean-field values. The isovector neutron-proton correlations rapidly decrease with temperatures and vanish for temperatures above $T=700$ keV, while the isovector correlations among like nucleons persist to higher temperatures. Related to the quenching of the isovector proton-neutron correlations, the average isospin decreases from 1, appropriate for the ground state, to 0 as the temperature increases.
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"abstract": "We perform Shell Model Monte Carlo calculations to study pair correlations in\nthe ground states of $N=Z$ nuclei with masses A=48-60. We find that $T=1$,\n$J^{\\pi}=0^+$ proton-neutron correlations play an important, and even dominant\nrole, in the ground states of odd-odd $N=Z$ nuclei, in agreement with\nexperiment. By studying pairing in the ground states of $^{52-58}$Fe, we\nobserve that the isovector proton-neutron correlations decrease rapidly with\nincreasing neutron excess. In contrast, both the proton, and trivially the\nneutron correlations increase as neutrons are added.\n We also study the thermal properties and the temperature dependence of pair\ncorrelations for $^{50}$Mn and $^{52}$Fe as exemplars of odd-odd and even-even\n$N=Z$ nuclei. While for $^{52}$Fe results are similar to those obtained for\nother even-even nuclei in this mass range, the properties of $^{50}$Mn at low\ntemperatures are strongly influenced by isovector neutron-proton pairing. In\ncoexistence with these isovector pair correlations, our calculations also\nindicate an excess of isoscalar proton-neutron pairing over the mean-field\nvalues. The isovector neutron-proton correlations rapidly decrease with\ntemperatures and vanish for temperatures above $T=700$ keV, while the isovector\ncorrelations among like nucleons persist to higher temperatures. Related to the\nquenching of the isovector proton-neutron correlations, the average isospin\ndecreases from 1, appropriate for the ground state, to 0 as the temperature\nincreases.",
"arxiv_id": "nucl-th/9610006",
"authors": [
"K. Langanke",
"D. J. Dean",
"S. E. Koonin",
"P. B. Radha"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0375-9474(96)00442-3",
"journal_ref": "Nucl.Phys. A613 (1997) 253-266",
"title": "Pairing correlations in N~Z pf-shell nuclei",
"url": "https://arxiv.org/abs/nucl-th/9610006"
},
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