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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

O. K. Vorov·N. Auerbach·V. V. Flambaum
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Abstract

The structure of the collective low-energy $J^π=0^{-}$ (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 $E_{T=0}(0^{-}) \alt ω$ and $E_{T=1}(0^{-}) > ω$, where $ω$ 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 $\sim 2 (\fracω{E})^{1/2}A^{1/3} \sim 10$ 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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O. K. Vorov, N. Auerbach, V. V. Flambaum. 1996-03-31. 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. https://doi.org/10.1016/0370-2693(96)00861-1

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