dorsal/arxiv
View SchemaEffects of angular momentum projection on the nuclear partition function and the observation of the giant dipole resonance in hot nuclei
| Authors | W. E. Ormand, P. F. Bortignon, R. A. Broglia |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9701001 |
| URL | https://arxiv.org/abs/nucl-th/9701001 |
| DOI | 10.1016/S0375-9474(97)00027-4 |
| Journal | Nucl.Phys. A618 (1997) 20-34 |
Abstract
Procedures for projecting angular momentum in a model describing a hot nucleus that takes into account large-amplitude quadrupole fluctuations are discussed. Particular attention is paid to the effect angular-momentum projection has on the observables associated with the $\gamma$-decay of the giant-dipole resonance (GDR). We also elaborate on which of the different projection methods provides the best overall description of the GDR, including angular distributions. The main consequence of angular-momentum projection is the appearance of an effective volume element in the integrals associated with the thermal average of the physical observables. This effective volume element is controlled by the value of the moments of inertia of the system. In the limit of rigid-body moments of inertia, the effective volume element is found to differ only slightly from the volume element associated with the normalization of the five-dimensional quadrupole oscillator wavefunction in the $\beta$, $\gamma$, and $\Omega$ space, namely $D[\alpha]=\beta^4d\beta sin(3\gamma)d\gamma d\Omega$. In the limit of irrotational flow moments of inertia, the leading behavior in the $\beta$ degree of freedom is $D[\alpha]\propto \beta d\beta$.
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"abstract": "Procedures for projecting angular momentum in a model describing a hot\nnucleus that takes into account large-amplitude quadrupole fluctuations are\ndiscussed. Particular attention is paid to the effect angular-momentum\nprojection has on the observables associated with the $\\gamma$-decay of the\ngiant-dipole resonance (GDR). We also elaborate on which of the different\nprojection methods provides the best overall description of the GDR, including\nangular distributions. The main consequence of angular-momentum projection is\nthe appearance of an effective volume element in the integrals associated with\nthe thermal average of the physical observables. This effective volume element\nis controlled by the value of the moments of inertia of the system. In the\nlimit of rigid-body moments of inertia, the effective volume element is found\nto differ only slightly from the volume element associated with the\nnormalization of the five-dimensional quadrupole oscillator wavefunction in the\n$\\beta$, $\\gamma$, and $\\Omega$ space, namely $D[\\alpha]=\\beta^4d\\beta\nsin(3\\gamma)d\\gamma d\\Omega$. In the limit of irrotational flow moments of\ninertia, the leading behavior in the $\\beta$ degree of freedom is\n$D[\\alpha]\\propto \\beta d\\beta$.",
"arxiv_id": "nucl-th/9701001",
"authors": [
"W. E. Ormand",
"P. F. Bortignon",
"R. A. Broglia"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0375-9474(97)00027-4",
"journal_ref": "Nucl.Phys. A618 (1997) 20-34",
"title": "Effects of angular momentum projection on the nuclear partition function and the observation of the giant dipole resonance in hot nuclei",
"url": "https://arxiv.org/abs/nucl-th/9701001"
},
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