Correlating charge radius with quadrupole deformation and $B(E2)$ in atomic nuclei

Abstract

A very good linear correlation is found between the four-point charge radius relation $\delta R_{2p-2n}(Z,N)$ with that of quadrupole deformation data in even-even nuclei. This results in a further improved charge radius relation that holds in a precision of about 5$\times 10^{-3}$ fm. Such correlations are also seen in global nuclear models, their precisions, however, are not enough to be consistent with the experimental data. The new relation between charge radii and deformation of even-even nuclei can be generalized to the reduced electric quadrupole transition probability $B(E2)$ between the first $2^{+}$ state and the $0^{+}$ ground state, and the mean lifetime $\tau$ of the first 2${}^{+}$ state.

6 pages, 4 figures

References in corpus (6)

• New parametrization for the nuclear covariant energy density functional with point-coupling interaction
• Improved radial basis function approach with the odd-even corrections
• New charge radius relations for atomic nuclei
• Consistent description of nuclear charge radii and electric monopole transitions
• Correlating radii and electric monopole transitions of atomic nuclei
• On the Equivalence of Experimental B(E2) Values Determined by Various Techniques