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

Details 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 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

1996-03-31

arxiv.org/abs/nucl-th/9603046v1

Phys.Lett.B385:17-24,1996

Physics

Nuclear Physics

Nuclear Theory

15 pages, REVTEX 3, 2 figures

Scientific paper

10.1016/0370-2693(96)00861-1

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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