Fully Microscopic Calculations for Closed-Shell Nuclei with Realistic Nucleon-Nucleon Potentials

The ground-state energy of the doubly magic nuclei 4He and 16O has been calculated within the framework of the Goldstone expansion starting from modern nucleon-nucleon potentials. A low-momentum potential V-low-k has been derived from the bare potential by integrating out its high-momentum components beyond a cutoff Lambda. We have employed a simple criterion to relate this cutoff momentum to a boundary condition for the two-nucleon model space spanned by a harmonic-oscillator basis. Convergence of the results has been obtained with a limited number of oscillator quanta.Comment: 8 pages, 5 figures, talk given at 11th Conference on Problems in Theoretical Nuclear Physics, Cortona, Italy, 11-14 October 200

Behavior of odd-even mass staggering around 132Sn

We have performed shell-model calculations of binding energies of nuclei around $^{132}$Sn. The main aim of our study has been to find out if the behavior of odd-even staggering across N=82 is explainable in terms of the shell model. In our calculations, we have employed realistic low-momentum two-body effective interactions derived from the CD-Bonn nucleon-nucleon potential that have already proved quite successful in describing the spectroscopic properties of nuclei in the $^{132}$Sn region. Comparison shows that our results fully explains the trend of the experimental staggering.Comment: 3 pages, 1 figur

Particle-Hole Multiplets Near Closed Shells

We report here on a shell-model study of nuclei close to doubly magic 132Sn and 100Sn focusing attention on particle-hole multiplets. In our study we make use of realistic effective interactions derived from the CD-Bonn nucleon-nucleon potential. We present results for the four nuclei 132Sb, 130Sb, 102In and 98Ag. Comparison shows that the calculated results are in very good agreement with the experimental data available for these nuclei far from stability. This supports confidence in the predictions of our calculations which may stimulate, and be helpful to, future experiments.Comment: 9 pages, talk presented at the XXXVII Zakopane School of Physics "Trends in Nuclear Physics", Zakopane, Poland, September 3-10, 2002. To be published on Acta Physica Polonica

Proton-neutron multiplets in exotic 134Sb: testing the shell-model effective interaction

The experimental level structure of 134Sb is compared with the results of a shell-model calculation in which the two-body matrix elements of the effective interaction have been derived from the CD-Bonn nucleon-nucleon potential. The experimental data, including the very low-lying first-excited 1- state, are remarkably well reproduced by the theory. The results of this paper complement those of our previous studies on 135Sb and 134Sn, showing that our effective interaction is well suited to describe 132Sn neighbors beyond N=82. The various terms which contribute to the matrix elements of the proton-neutron effective interaction are examined and their relative importance is evidenced.Comment: 4 pages, 3 figures, published on Physical Review

g9/2 nuclei and neutron-proton interaction

We have performed shell-model calculations for nuclei below 100Sn, focusing attention on the two N=Z nuclei 96Cd and 92Pd, the latter having been recently the subject of great experimental and theoretical interest. We have considered nuclei for which the 0g9/2 orbit plays a dominant role and employed a realistic low-momentum two-body effective interaction derived from the CD-Bonn nucleon-nucleon potential. This implies that no phenomenological input enters our effective Hamiltonian. The calculated results for 92Pd are in very good agreement with the available experimental data, which gives confidence in our predictions for 96Cd. An analysis of the wave functions of both 96Cd and 92Pd is performed to investigate the role of the isoscalar spin-aligned coupling.Comment: 7 pages, 6 figures, 4 tables, to be published in Physical Review

Evolution of single-particle states beyond 132^{132}Sn

We have performed shell-model calculations for the two one valence-neutron isotones $^{135}$Te and $^{137}$Xe and the two one valence-proton isotopes $^{135,137}$Sb. The main aim of our study has been to investigate the evolution of single-particle states with increasing nucleon number. To this end, we have focused attention on the spectroscopic factors and the effective single-particle energies. In our calculations, we have employed a realistic low-momentum two-body effective interaction derived from the CD-Bonn nucleon-nucleon potential that has already proved quite successful in describing the spectroscopic properties of nuclei in the $^{132}$Sn region. Comparison shows that our results reproduce very well the available experimental data. This gives confidence in the evolution of the single-particle states 4 figures predicted by the present study.Comment: 7 pages, 4figures, submitted to Phys. Rev.

Shell-model study of exotic Sn isotopes with a realistic effective interaction

We report on a shell-model study of Sn isotopes beyond N=82 employing a realistic effective interaction derived from the CD-Bonn nucleon-nucleon potential renormalized through use of the V-low-k approach. At present, the most exotic Sn isotope for which some experimental information exists is 134Sn with an N/Z ratio of 1.68. It is the aim of our study to compare the results of our calculations with the available experimental data and to make predictions for the neighboring heavier isotopes which may be within reach of the next generation of radioactive ion beam facilities. The very good agreement between theory and experiment obtained for 134Sn gives confidence in the predictive power of our realistic shell-model calculations.Comment: 6 pages, 3 figures, 2 tables, talk presented at 10th International Spring Seminar on Nuclear Physics "New Quests in Nuclear Structure", Vietri sul Mare, may 21-25, 2010. To be published on Journal of Physics Conference Serie

Structure of Neutron-Rich Nuclei in the 132Sn Region

We report on a study of neutron-rich nuclei around 132Sn in terms of the shell model employing a realistic effective interaction derived from the CD-Bonn nucleon-nucleon potential. We present results for some Sb and Te isotopes. Comparison shows that our results are in very good agreement with the available experimental data supporting confidence in the predictions of our calculations. This may stimulate experimental efforts to gain more information on these nuclei lying well away from the valley of stability.Comment: 9 pages, 5 figure, talk presented at the 3rd International Conference on Fission and Properties of Neutron-Rich Nuclei, Sanibel Island, Florida, November 3-9 200