dorsal/arxiv
View SchemaUniversal Predictions for Statistical Nuclear Correlations
| Authors | Dimitri Kusnezov, David Mitchell |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9510002 |
| URL | https://arxiv.org/abs/nucl-th/9510002 |
| DOI | 10.1103/PhysRevC.54.147 |
| Journal | Phys.Rev.C54:147-158,1996 |
Abstract
We explore the behavior of collective nuclear excitations under a multi-parameter deformation of the Hamiltonian. The Hamiltonian matrix elements have the form $P(|H_{ij}|)\propto 1/\sqrt{|H_{ij}|}\exp(-|H_{ij}|/V)$, with a parametric correlation of the type $\log \langle H(x)H(y)\rangle\propto -|x-y|$. The studies are done in both the regular and chaotic regimes of the Hamiltonian. Model independent predictions for a wide variety of correlation functions and distributions which depend on wavefunctions and energies are found from parametric random matrix theory and are compared to the nuclear excitations. We find that our universal predictions are observed in the nuclear states. Being a multi-parameter theory, we consider general paths in parameter space and find that universality can be effected by the topology of the parameter space. Specifically, Berry's phase can modify short distance correlations, breaking certain universal predictions.
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"abstract": "We explore the behavior of collective nuclear excitations under a\nmulti-parameter deformation of the Hamiltonian. The Hamiltonian matrix elements\nhave the form $P(|H_{ij}|)\\propto 1/\\sqrt{|H_{ij}|}\\exp(-|H_{ij}|/V)$, with a\nparametric correlation of the type $\\log \\langle H(x)H(y)\\rangle\\propto\n-|x-y|$. The studies are done in both the regular and chaotic regimes of the\nHamiltonian. Model independent predictions for a wide variety of correlation\nfunctions and distributions which depend on wavefunctions and energies are\nfound from parametric random matrix theory and are compared to the nuclear\nexcitations. We find that our universal predictions are observed in the nuclear\nstates. Being a multi-parameter theory, we consider general paths in parameter\nspace and find that universality can be effected by the topology of the\nparameter space. Specifically, Berry\u0027s phase can modify short distance\ncorrelations, breaking certain universal predictions.",
"arxiv_id": "nucl-th/9510002",
"authors": [
"Dimitri Kusnezov",
"David Mitchell"
],
"categories": [
"nucl-th",
"chao-dyn",
"nlin.CD"
],
"doi": "10.1103/PhysRevC.54.147",
"journal_ref": "Phys.Rev.C54:147-158,1996",
"title": "Universal Predictions for Statistical Nuclear Correlations",
"url": "https://arxiv.org/abs/nucl-th/9510002"
},
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