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An interaction $-\chi Q\cdot Q(1+B\vec{\tau}(1)\cdot \vec{\tau}(2))$ is used in a shell model calculation for $^{10}Be$. Whereas for $B=0$ the $2_1^+$ state is two-fold degenerate, introducing a negative $B$ causes an `isovector' $2^+$…

Nuclear Theory · Physics 2009-10-28 M. S. Fayache , S. Shelly Sharma , L. Zamick

Fundamental theories and models of many-body physics can be probed in experiments on ultracold atoms held in place by electromagnetic fields. In particular, of considerable interest are systems under curved confinement, since they can yield…

Quantum Gases · Physics 2026-03-06 Fabio Cinti , Matteo Ciardi , Santi Prestipino , Giuseppe Pellicane

A comparative study is performed of a deformed mean field theory, represented by the cranked Nilsson-Strutinsky (CNS) model, and the spherical shell model. Energy spectra, occupation numbers, B(E2)-values, and spectroscopic quadrupole…

Nuclear Theory · Physics 2009-11-11 A. Juodagalvis , I. Ragnarsson , S. Aberg

Shell model calculations have been performed for the nucleus 94Mo. The calculated excitation energies and electromagnetic properties of low-lying states are in good agreement with the data, which include states with mixed-symmetry (MS)…

Nuclear Theory · Physics 2009-11-06 A. F. Lisetskiy , N. Pietralla , C. Fransen , R. V. Jolos , P. von Brentano

Several topics concerning nuclear structure and electromagnetic interactions of heavy nuclei are reviewed. These comprehend the deformed single-particle shell model, nuclear collective motion, symmetry breaking and approximate symmetry…

Nuclear Theory · Physics 2024-06-12 Alejandro Restrepo-Giraldo

Correlations in the nuclear wave-function beyond the mean-field or Hartree-Fock approximation are very important to describe basic properties of nuclear structure. Various approaches to account for such correlations are described and…

Nuclear Theory · Physics 2009-11-06 H. Müther , A. Polls

We evaluate the allowed $\beta^-$-decay properties of nuclei with $Z = 8 - 15$ systematically under the framework of the nuclear shell model with the use of the valence space Hamiltonians derived from modern $ab~intio$ methods, such as…

Nuclear Theory · Physics 2020-03-23 Anil Kumar , Praveen C. Srivastava , Toshio Suzuki

We aim to describe the cluster states of nuclear systems starting with a realistic interaction, which is a challenge of modern nuclear theories. Here, the short-range correlation of realistic interaction is treated by employing the damping…

Nuclear Theory · Physics 2020-03-20 Naoyuki Itagaki , Tokuro Fukui , Akihiro Tohsaki

The understanding of clustering aspects at the ground state of nuclei and in fast rotating ones within the framework of covariant density functional theory has been reviewed and reanalyzed. The appearance of many exotic nuclear shapes in…

Nuclear Theory · Physics 2025-01-09 A. V. Afanasjev

The light weakly-bound nucleus $^7$Li is studied within a dicluster $\alpha+t$ picture. Different observables obtained within our simple model are compared with previous calculations and experiments showing good agreement. In particular we…

Nuclear Theory · Physics 2007-05-23 Lorenzo Fortunato , Andrea Vitturi

A shell model effective interaction for nuclei beyond the double magic nucleus 78Ni is constructed. First, the single-particle evolutions for valence neutrons above the double magic 78Ni are systematically explored in the N = 51 isotones…

Nuclear Theory · Physics 2025-10-10 N. Chen , J. G. Li , H. H. Li

After a brief review of the theoretical description of nuclei based on nonrelativistic many-body theory and realistic hamiltonians, these lectures focus on its application to the analysis of the electroweak response. Special emphasis is…

Nuclear Theory · Physics 2015-05-13 Omar Benhar

The formation of clusters in nuclear matter is investigated, which occurs e.g. in low energy heavy ion collisions or core-collapse supernovae. In astrophysical applications, the excluded volume concept is commonly used for the description…

Nuclear Theory · Physics 2011-11-24 Matthias Hempel , Jürgen Schaffner-Bielich , Stefan Typel , Gerd Röpke

We investigate the quantum phases of hard-core bosonic atoms in an extended Hubbard model where particles interact via soft-shoulder potentials in one dimension. Using a combination of field-theoretical methods and strong-coupling…

Quantum Gases · Physics 2015-07-08 M. Dalmonte , W. Lechner , Zi Cai , M. Mattioli , A. M. Läuchli , G. Pupillo

Emergent properties such as nuclear saturation and deformation, and the effects on shell structure due to the proximity of the scattering continuum and particle decay channels are fascinating phenomena in atomic nuclei. In recent years, ab…

Nuclear Theory · Physics 2016-05-19 G. Hagen , M. Hjorth-Jensen , G. R. Jansen , T. Papenbrock

We present our results on properties of ground states for nucleonic systems in the presence of random two-body interactions. In particular we present probability distributions for parity, seniority, spectroscopic (i.e., in the laboratory…

Nuclear Theory · Physics 2007-05-23 Y. M. Zhao , A. Arima , N. Shimizu , K. Ogawa , N. Yoshinaga , O. Scholten

The shell model Monte Carlo (SMMC) approach provides a powerful method for the microscopic calculation of statistical and collective nuclear properties in model spaces that are many orders of magnitude larger than those that can be treated…

Nuclear Theory · Physics 2015-06-11 Y. Alhassid , A. Mukherjee , H. Nakada , C. Özen

In this work we present $ab~initio$ shell-model calculations for electric quadrupole moments and magnetic dipole moments of $sd$ shell nuclei using valence-space Hamiltonians derived with two $ab~initio$ approaches: the in-medium similarity…

Nuclear Theory · Physics 2017-08-30 Archana Saxena , Praveen C. Srivastava

In this work we look at the low lying nuclear structure of several N=Z nuclei residing between the doubly magic nucei ^{40} Ca and ^{100} Sn. Using large shell model codes we calculate and discuus the systematics of enegies. We show energy…

Nuclear Theory · Physics 2015-06-16 S. J. Q. Robinson , T. Hoang , L. Zamick , Y. Y. Sharon , A. Escuderos

Weak-interaction rates, including beta-decay and electron capture, are studied in several odd-A nuclei in the pf-shell region at various densities and temperatures of astrophysical interest. Special attention is paid to the relative…

Nuclear Theory · Physics 2017-01-06 Pedro Sarriguren