Effective interactions and shell model studies of heavy tin isotopes

We calculate the low-lying spectra of heavy tin isotopes from A=120 to A=130 using the 2s1d0g_{7/2}0h_{11/2} shell to define the model space. An effective interaction has been derived using 132Sn as closed core employing perturbative many-body techniques. We start from a nucleon-nucleon potential derived from modern meson exchange models. This potential is in turn renormalized for the given medium, 132Sn, yielding the nuclear reaction matrix, which is then used in perturbation theory to obtain the shell model effective interaction.Comment: 19 pages, Elsevier latex style espart.sty, submitted to Nuclear Physics

Effective interactions in medium heavy nuclei

We present a brief overview of microscopic nuclear structure approaches to nuclei with mass number from 100 to 132. The emphasis is on the shell model and theories for deriving effective interactions starting from the free interactions between nucleons. New results for (105,106,107)Sb are presented.Comment: Proceedings of RNB5, 3-8 April 2000, Divonne, France. 6 pages, Elsevier latex style. To appear in Nucl. Phys.

Convergence properties of the effective interaction

The convergence properties of two perturbative schemes to sum the so-called folded diagrams are critically reviewed, with an emphasis on the intruder state problem. The methods we study are the approaches of Kuo and co-workers and Lee and Suzuki. The suitability of the two schemes for shell-model calculations are discussed.Comment: 10 pages in revtex ver. 3.0. 3 figs can be obtained upon request. Univerisity of Oslo report UiO/PHYS/93-2

Study of odd-mass N=82 isotones with realistic effective interactions

The microscopic quasiparticle-phonon model, MQPM, is used to study the energy spectra of the odd $Z=53 - 63$, N=82 isotones. The results are compared with experimental data, with the extreme quasiparticle-phonon limit and with the results of an unrestricted $2s1d0g_{7/2}0h_{11/2}$ shell model (SM) 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 the $\hat{Q}$-box method whereas for the MQPM the effective interaction is defined by the G-matrix.Comment: Elsevier latex style espart, 26 pages, submitted to Nuclear Physics

Social Determinants of Health and the Prevalence of Overweight Status and Mental Health Conditions Among Non-Hispanic Black and Hispanic Children in the United States

Purpose: A growing concern in the United States has been the rise of anxiety and depression and its relation to excessive weight status among non-Hispanic Black and Hispanic children, racial groups with higher-than-average rates of overweight status and obesity. This study explored this prevalence by analyzing individual, interpersonal, and community factors among this population. The study also sought to determine if a correlation exists between elevated weight and mental health issues in the study population. Methods: Using data from the 2017’s National Survey of Children Health (NSCH), the prevalence of anxiety and depression was investigated among Black and Hispanic children ages 10-17 years old with a BMI greater than the 85th percentile, defined by the CDC as being overweight/obese (N=10,839). Results: Two-way chi square tests were conducted in SPSS, determining that statistically significant correlates (p \u3c 0.05) existed between the prevalence of overweight/obesity in children and individual, interpersonal, and community factors, with the most significant correlates being individual factors. A significant correlate was found to exist between overweight/obesity and the prevalence of anxiety and depression (p \u3c 0.05, for both); however, when categorized by either race, no significant correlate was observed (p = 0.40, 0.26). Using a simple linear regression model, the most significant variables that correlated with overweight/obese were age, Mental Health Index, Adverse Childhood Experiences (ACE) score, and Family Received Assistance in 31 Last 12 Months. Family Received Assistance in Last 12 Months was indicated as a question on the NCSH. Conclusion: The results of the study found the most significant correlates to be between individual factors and overweight/obesity in children. The multiple logistic regression model demonstrated that only three variables were significant predictors of overweight/obesity in children after running stepwise selection. Additional studies investigating mental health (MH) and behavioral health factors among children who are overweight or obese (o/o) is recommended

Generalized seniority scheme in light Sn isotopes

The yrast generalized seniority states are compared with the corresponding shell model states for the case of the Sn isotopes $^{104-112}$Sn. For most of the cases the energies agree within 100 keV and the overlaps of the wave functions are greater than 0.7.Comment: 8 pages, revtex. Submitted to Phys. Rev.

Application of realistic effective interactions to the structure of the Zr isotopes

We calculate the low-lying spectra of the zirconium isotopes Z=40 with neutron numbers from N=52 to N=60 using the 1p1/20g9/2 proton and 2s1d0g7/20h11/2 neutron sub-shells to define the model space. Effective proton-proton, neutron--neutron and proton-neutron interactions have been derived using 88Sr as closed core and employing perturbative many-body techniques. The starting point is the nucleon-nucleon potential derived from modern meson exchange models. The comprehensive shell-model calculation performed in this work provides a qualitative reproduction of essential properties such as the sub-shell closures in 96Zr and 98Zr.Comment: To appear in Phys Rev C, june 2000, 8 figs, Revtex latex styl

Extended shell-model calculation for even N=82 isotones with realistic effective interactions

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 the $\hat{Q}$-box method whereas for the QRPA the effective interaction is defined by the G-matrix.Comment: 25 pages, Elsevier latex style. Submitted to Nuclear Physics

Self-Consistent Nuclear Shell-Model Calculation Starting from a Realistic NN Potential

First self-consistent realistic shell-model calculation for the light p-shell nuclei is performed, starting from the high-precision nucleon-nucleon (NN) CD-Bonn potential. This realistic potential is renormalized deriving a low-momentum NN potential V-low-k that preserves exactly the two-nucleon low-energy physics. This V-low-k is suitable to derive a self-consistent Hartree-Fock basis that is employed to derive both effective single-particle energies and residual two-body matrix elements for the shell-model hamiltonian. Results obtained show the reliability of such a fundamental microscopic approach.Comment: 4 pages, 1 figure, 8 tables, to be published on Physics Letters