dorsal/arxiv
View SchemaThermal properties of a rotating nucleus in a fluctuating mean field approach
| Authors | B. K. Agrawal, A. Ansari |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9305003 |
| URL | https://arxiv.org/abs/nucl-th/9305003 |
| DOI | 10.1016/0375-9474(94)90723-4 |
| Journal | Nucl.Phys. A567 (1994) 1-16 |
Abstract
The static path approximation to the path integral representation of partition function provides a natural microscopic basis to deal with thermal fluctuations around mean field configurations. Using this approach for one-dimensional cranking Hamiltonian with quadrupole- quadrupole interaction term we have studied a few properties like energy, level density, level density parameter($a$) and moment of inertia as a function of temperature and spin for $^{64}Zn$ taking it as an illustrative example. We have also investigated the effects of variation in interaction strength on the level density and the parameter $a$ as a function of temperature. The moment of inertia, $\cal I$ versus rotational frequency, $\omega$ plot shows a sudden rise in the value of $\cal I$ due to rotation alignment of $0g_{9/2}$ orbitals at $\omega\approx 1.0$ MeV for a small temperature T $\sim 0.5$ MeV. At high T $\sim$ 2.0 MeV about 40-45$\%$ of each angular momentum is generated by alignment of $0g_{9/2}$ orbitals with an interesting result that at $\omega\sim 1.0$ MeV and spin J $\sim$ 16 the moment of inertia has almost a constant, temperature independent value.
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"abstract": "The static path approximation to the path integral representation of\npartition function provides a natural microscopic basis to deal with thermal\nfluctuations around mean field configurations.\n Using this approach for one-dimensional cranking Hamiltonian with quadrupole-\nquadrupole interaction term we have studied a few properties like energy, level\ndensity, level density parameter($a$) and moment of inertia as a function of\ntemperature and spin for $^{64}Zn$ taking it as an illustrative example. We\nhave also investigated the effects of variation in interaction strength on the\nlevel density and the parameter $a$ as a function of temperature. The moment of\ninertia, $\\cal I$ versus rotational frequency, $\\omega$ plot shows a sudden\nrise in the value of $\\cal I$ due to rotation alignment of $0g_{9/2}$ orbitals\nat $\\omega\\approx 1.0$ MeV for a small temperature T $\\sim 0.5$ MeV. At high T\n$\\sim$ 2.0 MeV about 40-45$\\%$ of each angular momentum is generated by\nalignment of $0g_{9/2}$ orbitals with an interesting result that at $\\omega\\sim\n1.0$ MeV and spin J $\\sim$ 16 the moment of inertia has almost a constant,\ntemperature independent value.",
"arxiv_id": "nucl-th/9305003",
"authors": [
"B. K. Agrawal",
"A. Ansari"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/0375-9474(94)90723-4",
"journal_ref": "Nucl.Phys. A567 (1994) 1-16",
"title": "Thermal properties of a rotating nucleus in a fluctuating mean field approach",
"url": "https://arxiv.org/abs/nucl-th/9305003"
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