Evolution of nuclear structure in and around Z=50 closed shell: Generalized Seniority in Cd, Sn and Te isotopes

Abstract

We study the quadrupole moments and the B(E2; $2^{+}\to 0^{+}$) values for the ${11/2}^{-}$ states and the first $2^{+}$ states, respectively, by using a multi-j generalized seniority approach in the Cd (Z = 48), Sn (Z = 50) and Te (Z = 52) isotopic chains. The g-factor trends have also been discussed. Although, Cd and Te isotopes represent two-proton hole and two-proton particle systems, thus involving both kind of particles (protons and neutrons) in contrast to Sn (Z = 50) where only neutrons play a role, we find that a similar model based on neutron valence space alone is able to explain nearly all the gross features and trends. This paper represents the first attempt to test the validity of the generalized seniority scheme away from the semi-magic region and appears to be surprisingly successful. The linearly varying quadrupole moments in Cd, Sn and Te isotopes, are described by using a consistent multi-j configuration. The asymmetric double-hump behavior of B(E2) values in Cd and Te isotopes are understood in a manner identical to that of Sn isotopes by using the generalized seniority scheme for the first time. No shell quenching is supported in the calculations; hence, the neutron magic numbers, N = 50 and N = 82, remain robust in these isotopic chains.

Accepted in NPA

References in corpus (14)

• Tables of E2 Transition Probabilities from the first $2^{+}$ States in Even-Even Nuclei
• Spins, Electromagnetic Moments, and Isomers of 107-129Cd
• Measured g factors and the tidal-wave description of transitional nuclei near A = 100
• On the origin of the anomalous behaviour of 2+ excitation energies in the neutron-rich Cd isotopes
• Shell model based deformation analysis of light Cadmium isotopes
• Occupation probabilities from quadrupole moments in the Sn region
• Tidal Waves -- a non-adiabatic microscopic description of the yrast states in near-spherical nuclei
• Precision mass measurements of ${}^{125-127}$Cd isotopes and isomers approaching the $N=82$ closed shell
• Odd tensor electric transitions in high-spin Sn-isomers and generalized seniority
• Asymmetric behavior of the B$(E2\uparrow ;0^{+}\to 2^{+})$ values in ${}^{104-130}$Sn and Generalized Seniority
• Generalized Seniority Schmidt Model and the g-factors in Semi-magic Nuclei
• $\Delta v=2$ seniority changing transitions in yrast $3^{-}$ states and B(E3) systematics of Sn isotopes
• Magnetic moments in odd-A Cd isotopes and coupling of particles with zero-point vibrations
• Phase change near $N=70$ in the wave function of the $I^{\pi }=11/2^{-}$ isomers along the cadmium-isotope chain

Cited by in corpus (8)

• Atlas of Nuclear Isomers -- Second Edition
• Lifetime Measurements in the Even-Even ${}^{102-108}$Cd Isotopes
• Overview of Seniority Isomers
• Generalized seniority isomers in and around $Z=82$ closed shell: a survey of Hg, Pb and Po isotopes
• A unified view of the first-excited $2^{+}$ and $3^{-}$ states of Cd, Sn and Te isotopes
• A puzzle on isomeric configurations in and around $N=126$ closed shell
• Systematic shell-model study of ${}^{98-130}$Cd isotopes and $8^{+}$ isomeric states
• Partial conservation of seniority in semi-magic nuclei