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A cranked shell model approach for the description of rotational bands in $N\approx Z$ nuclei is formulated. The isovector neutron-proton pairing is taken into account explicitly. The concept of spontaneous breaking and subsequent…

Nuclear Theory · Physics 2009-10-31 Stefan G. Frauendorf , Javid A. Sheikh

Atomic nuclei exhibit deformation, pairing correlations, and rotational symmetries. To meet these competing demands in a computationally tractable formalism, we revisit the use of general pair condensates with good particle number as a…

Nuclear Theory · Physics 2022-04-06 Yi Lu , Yang Lei , Calvin W. Johnson , Jia Jie Shen

Parity-violating polarized electron scattering from nucleons and nuclei provides an excellent tool to extract valuable information on nuclear and nucleon structure, as well as to determine Standard Model couplings and higher-order radiative…

Nuclear Theory · Physics 2015-04-15 O. Moreno , T. W. Donnelly , R. González-Jiménez , J. A. Caballero

A simple model based on the group SO(5) suggests that both the like-particle and neutron-proton components of isovector pairing correlations in odd-A nuclei are Pauli blocked. The same effect emerges from Monte Carlo Shell-model…

Nuclear Theory · Physics 2009-10-31 Jonathan Engel , Karlheinz Langanke , Petr Vogel

Nuclear structures of the atomic nuclei can be theoretically investigated by using nuclear shell model. Generally, a doubly closed-shell nucleus has been considered as inert core and the nucleons outside the core are taken into account in…

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

We consider a novel approach to the nuclear shell model. The one-dimensional harmonic oscillator in a box is used to introduce the concept of an oblique-basis shell-model theory. By implementing the Lanczos method for diagonalization of…

Nuclear Theory · Physics 2010-02-18 V. G. Gueorguiev

More than half a century after the fundamental, spherical shell structure in nuclei has been established, theoretical predictions indicate that the shell-gaps comparable or even stronger than those at spherical shapes may exist.…

Nuclear Theory · Physics 2009-11-07 J. Dudek , A. Gozdz , N. Schunck , M. Miskiewicz

A modified version of the previously proposed exponential model with pairing attenuation for the well deformed even-even nuclei has been applied to predict the energy levels of doubly even actinide nuclei. Satisfactory results are obtained…

Nuclear Theory · Physics 2007-05-23 H. H. Alharbi , H. A. Alhendi , S. U. El-Kameesy

Generalized seniority provides a truncation scheme for the nuclear shell model, based on pairing correlations, which offers the possibility of dramatically reducing the dimensionality of the nuclear shell-model problem. Systematic…

Nuclear Theory · Physics 2014-09-02 M. A. Caprio , F. Q. Luo , K. Cai , Ch. Constantinou , V. Hellemans

Some binding-energy-related quantities serving as effective order parameters have been used to analyze the shape phase transition in the odd Sm nuclei. It is found that the signals of phase transition in the odd Sm nuclei are greatly…

Nuclear Theory · Physics 2015-10-28 Yu Zhang , Xin Guan , Yin Wang , Yan Zuo , Li-na Bao , Feng Pan

Pairing plays an essential role in describing nuclear spectra and attempts to describe it has a long history in nuclear physics. Many theoretical tools were developed to treat the pairing problem either exactly or at various levels of…

Nuclear Theory · Physics 2019-01-30 A. B. Balantekin

Accurate estimates of the binding energy of nuclei far from stability that cannot be produced in the laboratory are crucial to our understanding of nuclear processes in astrophysical scenarios. Models based on energy density functionals…

Nuclear Theory · Physics 2022-11-08 W. Ryssens , G. Scamps , G. Grams , I. Kullmann , M. Bender , S. Goriely

Within the framework of the Standard Model, the scale of electroweak symmetry breaking is unstable to radiative corrections. We discuss two broad classes of models of new physics (one with a strongly interacting and the other with a…

High Energy Physics - Phenomenology · Physics 2009-09-25 Xerxes Tata

A Nilsson mean-field plus extended pairing interaction Hamiltonian with many-pair interaction terms is proposed. Eigenvalues of the extended pairing model are easy to obtain. Our investigation shows that one- and two-body interactions…

Nuclear Theory · Physics 2009-11-10 Feng Pan , V. G. Gueorguiev , J. P. Draayer

We develop a model of off-mass-shell pairing correlations in nuclear systems, which is based on the meson-exchange picture of nuclear interactions. The temporal retardations in the model are generated by the Fock-exchange diagrams. The…

Nuclear Theory · Physics 2009-11-10 Armen Sedrakian

Simple generic aspects of nuclear pairing in homogeneous medium as well as in finite nuclei are discussed. It is argued that low-energy nuclear structure is not sensitive enough to resolve fine details of nuclear nucleon-nucleon (NN)…

Nuclear Theory · Physics 2009-11-11 Wojciech Satula

Performing a shell model calculation for heavy nuclei has been a long-standing problem in nuclear physics. Here we propose one possible solution. The central idea of this proposal is to take the advantages of two existing models, the…

Nuclear Theory · Physics 2009-11-10 Yang Sun , Cheng-Li Wu

The pseudo-SU(3) model has been extensively used to study normal parity bands in even-even and odd-mass heavy deformed nuclei. The use of a realistic Hamiltonian that mixes many SU(3) irreps has allowed for a successful description of…

Nuclear Theory · Physics 2017-08-23 Jorge G. Hirsch , Carlos E. Vargas , Gabriela Popa , Jerry P. Draayer

The empirical pairing gaps derived from four different odd-even mass staggering formulas are compared. By performing single-$j$ shell and multi-shell seniority model calculations as well as by using the standard HFB approach with Skyrme…

Nuclear Theory · Physics 2015-08-11 S. A. Changizi , Chong Qi , R. Wyss

Analysis of various mass relations connected with neutron-proton correlations in atomic nuclei is carried out. On the example of $N = Z$ chain it is shown that for self-adjoint nuclei various formulas proposed in literature for $ np $…

Nuclear Theory · Physics 2023-12-11 B. S. Ishkhanov , S. Sidorov , T. Tretyakova , E. Vladimirova