Systematic features of the structure of the heavy odd-mass Sb nuclides near the <i>N</i> = 82 closed shell

The ground and low-lying states of neutron-rich exotic Te and Sn isotopes are studied in terms of the nuclear shell model by the same Hamiltonian used for the spherical-deformed shape phase transition of Ba isotopes, without any adjustment. An anomalously small value is obtained for B͑E2;0 1 + → 2 1 + ͒ in 136 Te, consistent with a recent experiment. The levels of 136 Te up to yrast 12 + are shown to be in agreement with observed ones. It is pointed out that 136 Te can be an exceptionally suitable case for studying mixed-symmetry 1 + , 2 + , and 3 + states, and predictions are made for energies and M1 and E2 properties. Systematic trends of structure of heavier and more exotic Sn and Te isotopes beyond 136 Te are studied by the Monte Carlo shell model, presenting an unusual and very slow evolution of collectivity/deformation.

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“…Proton (left) and neutron (right) single-particle orbits and their energies. The energies are taken from experiments[10,11].…”

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confidence: 99%

Anomalous properties of quadrupole collective states inTe136and beyond

et al. 2004

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“…The theoretical framework is available, but the results are not accurate enough for our purpose. However, the single-particle energies can be extracted from the experimental 133 Sb spectrum [20], except for the 2s 1/2 single-particle state which has not yet been measured. For the 2s 1/2 single-particle energy we have taken the value used by Sagawa et al [10].…”

Section: Shell Model Calculationmentioning

confidence: 99%

Extended shell model calculation for even N = 82 isotones with a realistic effective interaction

et al. 1997

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The shell model within the 2s1d0g 7/2 0h 11/2 shell is applied to calculate nuclear structure properties of the even Z = 52 − 62, N = 82 isotones. The results are compared with experimental data and with the results of a quasiparticle random-phase approximation (QRPA) calculation. The interaction used in these calculations is a realistic two-body G-matrix interaction derived from modern meson-exchange potential models for the nucleon-nucleon interaction. For the shell model all the two-body matrix elements are renormalized by theQ-box method whereas for the QRPA the effective interaction is defined by the G-matrix.

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“…Those for neutrons are 2p 3͞2 , 2p 1͞2 , 1f 7͞2 , 1f 5͞2 , 0h 9͞2 , and 0i 13͞2 . The single particle energies are adopted from the experimental energy levels of 133 Sn [18] for neutrons and from those of 133 Sb [19] for protons. The two-body effective interaction between identical nucleons is assumed to be comprised of the monopole pairing, quadrupole pairing, and quadrupolequadrupole interactions, the strengths of which are denoted as g ͑0͒ , g ͑2͒ , and f ͑2͒ , respectively.…”

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Transition from Spherical to Deformed Shapes of Nuclei in the Monte Carlo Shell Model

et al. 2001

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The transition from spherical to deformed shapes is studied in terms of large-scale shell-model calculations for Ba isotopes as a function of valence nucleon number with fixed single-particle space and Hamiltonian. A new version of the Monte Carlo shell model is introduced so as to incorporate pairing correlations efficiently, by utilizing condensed pair bases. The energy levels and electromagnetic matrix elements are described in agreement with experiments throughout the transitional region. The orbital M1 sum rule is calculated as a measure of the deformation evolution, and the Q-phonon picture is shown to be reasonable from spherical to deformed nuclei.

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Systematic features of the structure of the heavy odd-mass Sb nuclides near the N = 82 closed shell

Cited by 19 publications

References 4 publications

Anomalous properties of quadrupole collective states inTe136and beyond

Anomalous properties of quadrupole collective states inTe136and beyond

Extended shell model calculation for even N = 82 isotones with a realistic effective interaction

Transition from Spherical to Deformed Shapes of Nuclei in the Monte Carlo Shell Model

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