dorsal/arxiv
View SchemaStructure of Low-Energy Collective $0^{-}$-States in Doubly Magic Nuclei and Matrix Elements of the P-odd and P- and T-odd Weak Interaction
| Authors | O. K. Vorov, N. Auerbach, V. V. Flambaum |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9603046 |
| URL | https://arxiv.org/abs/nucl-th/9603046 |
| DOI | 10.1016/0370-2693(96)00861-1 |
| Journal | Phys.Lett.B385:17-24,1996 |
Abstract
The structure of the collective low-energy $J^{\pi}=0^{-}$ (T=0 and T=1) modes is studied for a doubly magic nucleus in a schematic analytic model of RPA. The $0^{-}$ phonon states ($T= 0,1$) lie at energies $E_{T=0}(0^{-}) \alt \omega$ and $E_{T=1}(0^{-}) > \omega$, where $\omega$ is the oscillator frequency. The matrix elements of P-odd and P- and T-odd weak one-body potentials connecting the ground state to these $0^{-}$-states, $W_{coll}$, are enhanced by the factor $\sim 2 (\frac{\omega}{E})^{1/2}A^{1/3} \sim 10$ as compared to the single-particle value $w_{sp}$ what can result in values $|W_{coll}| \sim 20-30 eV$ if standard values of DDH parameters are used for $w_{sp}$. Similar enhancement arises in the P- and T-odd case.
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"abstract": "The structure of the collective low-energy $J^{\\pi}=0^{-}$ (T=0 and T=1)\nmodes is studied for a doubly magic nucleus in a schematic analytic model of\nRPA. The $0^{-}$ phonon states ($T= 0,1$) lie at energies $E_{T=0}(0^{-}) \\alt\n\\omega$ and $E_{T=1}(0^{-}) \u003e \\omega$, where $\\omega$ is the oscillator\nfrequency. The matrix elements of P-odd and P- and T-odd weak one-body\npotentials connecting the ground state to these $0^{-}$-states, $W_{coll}$, are\nenhanced by the factor $\\sim 2 (\\frac{\\omega}{E})^{1/2}A^{1/3} \\sim 10$ as\ncompared to the single-particle value $w_{sp}$ what can result in values\n$|W_{coll}| \\sim 20-30 eV$ if standard values of DDH parameters are used for\n$w_{sp}$. Similar enhancement arises in the P- and T-odd case.",
"arxiv_id": "nucl-th/9603046",
"authors": [
"O. K. Vorov",
"N. Auerbach",
"V. V. Flambaum"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/0370-2693(96)00861-1",
"journal_ref": "Phys.Lett.B385:17-24,1996",
"title": "Structure of Low-Energy Collective $0^{-}$-States in Doubly Magic Nuclei and Matrix Elements of the P-odd and P- and T-odd Weak Interaction",
"url": "https://arxiv.org/abs/nucl-th/9603046"
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