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- W2023963337 startingPage "1171" @default.
- W2023963337 abstract "For the ground-state bands of nonmagic even-even nuclei, the variable moment-of-inertia law defines an effective moment of inertia $mathfrak{g}(J)$, using only the energies of the ${2}^{+}$ and ${4}^{+}$ states. From the definition, $mathfrak{g}(J)$ is never negative. The average moment of inertia ${mathfrak{g}}_{02}ensuremath{equiv}frac{1}{2}[mathfrak{g}(0)+mathfrak{g}(2)]$ may then be related to the transition quadrupole moment ${Q}_{02}$. $mathfrak{g}(Q)$ is well described by a continuous function ranging over almost two orders of magnitude in both quantities. This function is linear for small values of $Q(ensuremath{lesssim}4 emathrm{b})$, quadratic for intermediate values ($4ensuremath{lesssim}Qensuremath{lesssim}11$ e b), and essentially constant for larger values ($11ensuremath{le}Qensuremath{le}13$ e b). The linear section pertains to all nuclei which deviate by not more than two pairs from being singly magic. In this group are both light deformed nuclei (e.g., $^{12}mathrm{C}$ and $^{24}mathrm{Mg}$) and heavier spherical nuclei ranging from $30ensuremath{lesssim}Aensuremath{lesssim}200$. The values of $mathfrak{g}$ and $Q$ in this region are (within ifmmodepmelsetextpmfi{} 50%) those that would be obtained if the nucleus were replaced by a dumbbell with length equal to the nuclear diameter and an $ensuremath{alpha}$ particle at either end. The quadratic relation has a simple interpretation in a picture of the nucleus as a droplet composed of two fluids, a superfluid which does not contribute to the angular momentum, and an inertial or rigidly rotating component which forms a fixed fraction $f$ of the mass density at each point in the nucleus. The fraction $f$, computed according to a simple rule from the degree of deformation of the droplet, vanishes if the droplet is spherical. The constancy of $mathfrak{g}$ at the largest $Q$ values (associated with spontaneously fissioning nuclei) may be due to a slight proton excess at the poles of the nucleus.NUCLEAR STRUCTURE Quadrupole moments, VMI model, moments of inertia." @default.
- W2023963337 created "2016-06-24" @default.
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- W2023963337 date "1978-03-01" @default.
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- W2023963337 title "Electric and dynamic quadrupole moments of even-even nuclei" @default.
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- W2023963337 doi "https://doi.org/10.1103/physrevc.17.1171" @default.
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