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- W2036320319 abstract "A tentative theory of the quadrupole moment ${{Q}_{2}}^{+}$ of the first ${2}^{+}$ excited state of spherical nuclei is developed as a logical extension of the methods used in the usual theory based on pairing plus quadrupole-quadrupole interaction. In the latter, in which the quasiparticle occupation amplitudes in the ground state are taken to be of zero order and the off-diagonal amplitudes connecting the ground state with the ${2}^{+}$ state to be of first order (and described by the random-phase approximation), ${{Q}_{2}}^{+}$ is nominally of second order. We find that, in a consistent calculation, the quadrupole deformation is driven by the off-diagonal amplitudes, but that there is also the possibility of a self-sustained deformation for sufficiently large quadrupole coupling constants. Numerically, one finds ranges of the latter, all in accord with the excitation energy and the $E2$ transition probability, for which ${{Q}_{2}}^{+}$ shows extremely rapid variations, and in particular, also assumes values sufficiently large to contradict the whole basis of the calculation. The need for a self-consistent intermediate coupling calculation is indicated." @default.
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- W2036320319 date "1967-04-20" @default.
- W2036320319 modified "2023-10-18" @default.
- W2036320319 title "Toward a New Theory of Spherical Nuclei. I" @default.
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- W2036320319 doi "https://doi.org/10.1103/physrev.156.1159" @default.
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