Abstract

The ${2}_{1}^{+}$ energies and $B(E2;{0}_{1}^{+}\ensuremath{\rightarrow}{2}_{1}^{+})$ values of even-even Sn nuclei with mass numbers between 102 and 130 have been calculated within the framework of the $SD$-pair approximation of the nuclear shell model. We employ monopole and quadrupole pairing plus quadrupole-quadrupole interaction with optimized parameters. Good agreement is obtained between the calculated results and experimental data. The robustness of our calculated ${2}_{1}^{+}$ level and $E2$ transition rates with respect to different sets of effective charge and different forms of the Hamiltonian is studied.

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