dorsal/arxiv
View SchemaDamping of Collective Nuclear Motion and Thermodynamic Properties of Nuclei beyond Mean Field
| Authors | Hong-Gang Luo, W. Cassing, Shun-Jin Wang |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9904034 |
| URL | https://arxiv.org/abs/nucl-th/9904034 |
| DOI | 10.1016/S0375-9474(99)00165-7 |
| Journal | Nucl.Phys.A652:164-185,1999 |
Abstract
The dynamical description of correlated nuclear motion is based on a set of coupled equations of motion for the one-body density matrix $\rho (11';t)$ and the two-body correlation function $c_2(12,1'2';t)$, which is obtained from the density-matrix hierarchy beyond conventional mean-field approaches by truncating 3-body correlations. The resulting equations nonperturbatively describe particle-particle collisions (short-range correlations) as well as particle-hole interactions (long-range correlations). Within a basis of time-dependent Hartree-Fock states these equations of motion are solved for collective vibrations of $^{40}Ca$ at several finite thermal excitation energies corresponding to temperatures $T=0-6$ MeV. Transport coefficients for friction and diffusion are extracted from the explicit solutions in comparison to the solutions of the associated TDHF, VUU, Vlasov or damped quantum oscillator equations of motion. We find that the actual magnitude of the transport coefficients is strongly influenced by partlicle-hole correlations at low temperature which generate large fluctuations in the nuclear shape degrees of freedom. Thermodynamically, the specific heat and the entropy of the system as a function of temperature does not differ much from the mean-field limit except for a bump in the specific heat around $T\simeq 4$ MeV which we attribute to the melting of shell effects in the correlated system.
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"abstract": "The dynamical description of correlated nuclear motion is based on a set of\ncoupled equations of motion for the one-body density matrix $\\rho (11\u0027;t)$ and\nthe two-body correlation function $c_2(12,1\u00272\u0027;t)$, which is obtained from the\ndensity-matrix hierarchy beyond conventional mean-field approaches by\ntruncating 3-body correlations. The resulting equations nonperturbatively\ndescribe particle-particle collisions (short-range correlations) as well as\nparticle-hole interactions (long-range correlations). Within a basis of\ntime-dependent Hartree-Fock states these equations of motion are solved for\ncollective vibrations of $^{40}Ca$ at several finite thermal excitation\nenergies corresponding to temperatures $T=0-6$ MeV. Transport coefficients for\nfriction and diffusion are extracted from the explicit solutions in comparison\nto the solutions of the associated TDHF, VUU, Vlasov or damped quantum\noscillator equations of motion. We find that the actual magnitude of the\ntransport coefficients is strongly influenced by partlicle-hole correlations at\nlow temperature which generate large fluctuations in the nuclear shape degrees\nof freedom. Thermodynamically, the specific heat and the entropy of the system\nas a function of temperature does not differ much from the mean-field limit\nexcept for a bump in the specific heat around $T\\simeq 4$ MeV which we\nattribute to the melting of shell effects in the correlated system.",
"arxiv_id": "nucl-th/9904034",
"authors": [
"Hong-Gang Luo",
"W. Cassing",
"Shun-Jin Wang"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0375-9474(99)00165-7",
"journal_ref": "Nucl.Phys.A652:164-185,1999",
"title": "Damping of Collective Nuclear Motion and Thermodynamic Properties of Nuclei beyond Mean Field",
"url": "https://arxiv.org/abs/nucl-th/9904034"
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