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One of the common methods used to investigate the nuclear structures of atomic nuclei is the nuclear shell model. Similar to the placement of atomic electrons into orbits, in the nuclear shell model, protons and neutrons are thought to fill…

Nuclear Theory · Physics 2020-04-14 Serkan Akkoyun , Tuncay Bayram

Our ultimate goal is the construction of a model for interactions of two nuclei in the energy range between several tens of GeV up to several TeV per nucleon in the centre-of-mass system. Such nuclear collisions are very complex, being…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. J. Drescher , M. Hladik , S. Ostapchenko , K. Werner

In this paper we model low-lying states of atomic nuclei in the nucleon-pair approximation of the shell model, using three approaches to select collective nucleon pairs: the generalized seniority scheme, the conjugate gradient method, and…

Nuclear Theory · Physics 2021-08-11 G. J. Fu , Calvin W. Johnson

The g_{9/2} shell of identical particles is the first one for which one can have seniority-mixing effects. We consider three interactions: a delta interaction that conserves seniority, a quadrupole-quadrupole (QQ) interaction that does not,…

Nuclear Theory · Physics 2009-11-11 A. Escuderos , L. Zamick

We construct an effective shell-model interaction for the valence space spanned by single-particle neutron and single-hole proton states in $^{100}$Sn. Starting from chiral nucleon-nucleon and three-nucleon forces and single-reference…

Nuclear Theory · Physics 2021-12-16 Z. H. Sun , G. Hagen , G. R. Jansen , T. Papenbrock

The broken pair model has been developed earlier as an useful approximation to the nuclear shell model for even-even nuclei. It is extended and developed here to include odd nuclei too. The model is then applied successfully in the Zr…

Nuclear Theory · Physics 2007-08-23 I. M Hamammu , S. Haq , J. M Eldahomi

Large-scale shell model calculations were performed for neutron-rich even-even $^{132-136}$Te using a realistic effective interaction derived from CD-Bonn nucleon-nucleon potential for the positive and negative parity states. The calculated…

Nuclear Theory · Physics 2007-05-23 F. A. Majeed

The formation of $\alpha$-particle clusters on the surface of heavy nuclei is described in a generalized relativistic mean-field model with explicit cluster degrees of freedom. The effects on the size of the neutron skin of Sn nuclei and…

Nuclear Theory · Physics 2015-06-19 Stefan Typel

The general nuclear contact matrices are defined, taking into consideration all partial waves and finite-range interactions, extending Tan's work for the zero range model. The properties of these matrices are discussed and the relations…

Nuclear Theory · Physics 2015-11-25 Ronen Weiss , Betzalel Bazak , Nir Barnea

Neutron skins encode essential information about nuclear geometry, surface structure, and isovector response, yet a compact description across the nuclear chart remains elusive. We present an empirical analysis of neutron-excess surface…

Nuclear Theory · Physics 2026-03-05 Brent Baker

Nuclear pairing gaps of normally deformed and superdeformed nuclei are investigated using the particle-number conserving (PNC) formalism for the cranked shell model, in which the blocking effects are treated exactly. Both rotational…

Nuclear Theory · Physics 2015-05-27 X. Wu , Z. H. Zhang , J. Y. Zeng , Y. A. Lei

We utilize a nuclear shell model Hamiltonian with only two adjustable parameters to generate, for the first time, exact solutions for pairing correlations for light to medium-mass nuclei, including the challenging proton-neutron pairs,…

Nuclear Theory · Physics 2019-12-18 M. E. Miora , K. D. Launey , D. Kekejian , F. Pan , J. P. Draayer

Study of the N ~ Z nuclei in the mass-80 region is not only interesting due to the existence of abundant nuclear structure phenomena, but also important in understanding the nucleosynthesis in the rp-process. It is not feasible to apply a…

Nuclear Theory · Physics 2009-11-07 Yang Sun

The last decade has witnessed both quantitative and qualitative progresses in Shell Model studies, which have resulted in remarkable gains in our understanding of the structure of the nucleus. Indeed, it is now possible to diagonalize…

Nuclear Theory · Physics 2008-11-26 E. Caurier , G. Martínez-Pinedo , F. Nowacki , A. Poves , A. P. Zuker

Semiclassical analysis of shell structures in realistic nuclear potentials are presented using periodic-orbit theory. We adopted r^alpha potential model and examined classical-quantum correspondence using Fourier transformation technique.…

Nuclear Theory · Physics 2009-11-11 Ken-ichiro Arita

We study the neutron-rich calcium isotopes performing shell-model calculations with a realistic effective interaction. This is derived from the CD-Bonn nucleon-nucleon potential renormalized by way of the V-low-k approach, considering 48Ca…

Nuclear Theory · Physics 2011-02-18 L. Coraggio , A. Covello , A. Gargano , N. Itaco

The use of the seniority quantum number in many-body systems is reviewed. A brief summary is given of its introduction by Racah in the context of atomic spectroscopy. Several extensions of Racah's original idea are discussed: seniority for…

Nuclear Theory · Physics 2011-02-02 P. Van Isacker

Large basis untruncated shell model calculations have been done for the A=138 neutron -rich nuclei in the pi(gdsh) X nu(hfpi) valence space above the 132Sn core. Two (1+2) -body nuclear Hamiltonians, viz., realistic CWG and empirical SMPN…

Nuclear Theory · Physics 2008-11-26 S. Sarkar , M. Saha Sarkar

We point out the possibility of the {\em partial} conservation of the seniority quantum number when most eigenstates are mixed in seniority but some remain pure. This situation occurs in nuclei for the $g_{9/2}$ and $h_{9/2}$ shells where…

Nuclear Theory · Physics 2008-11-26 P. Van Isacker , S. Heinze

We present a procedure that is helpful to reduce the computational complexity of large-scale shell-model calculations, by preserving as much as possible the role of the rejected degrees of freedom in an effective approach. Our truncation is…

Nuclear Theory · Physics 2016-07-07 L. Coraggio , A. Gargano , N. Itaco