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We present an empirical expression which holds for the lowest excitation energy of the natural parity states in even-even nuclei throughout the entire periodic table. This formula contains spin-dependent factors so that it is applied to…

Nuclear Theory · Physics 2015-05-13 Guanghao Jin , Dongwoo Cha , Jin-Hee Yoon

We calculate reduced $B(E2)$ electromagnetic transition strengths for light nuclei of mass numbers $B=8,12,16,20,24$ and $32$ within the Skyrme model. We find that the predicted transition strengths are of the correct order of magnitude and…

Nuclear Theory · Physics 2016-03-08 M. Haberichter , P. H. C. Lau , N. S. Manton

The history and importance of superdeformation in nuclei is briefly discussed. A simple two-level model is then employed to obtain an elegant expression for the branching ratio for the decay via the E1 process in the normal-deformed band of…

Nuclear Theory · Physics 2009-11-11 B. R. Barrett , D. M. Cardamone , C. A. Stafford

Ground state properties of finite nuclei ($^{16}$O and $^{40}$Ca) are evaluated from realistic nucleon-nucleon interactions. The calculations are based on the Brueckner-Hartree-Fock approximation. Special attention is paid to the role of…

Nuclear Theory · Physics 2011-07-19 Kh. Gad , H. Müther

The absolute and the relative quadrupole shape invariants q3 and K3 provide a model independent measure of triaxiality for beta-rigid nuclei. We will show that one can obtain q3 and K3 from a small number of observables. The approximations…

Nuclear Theory · Physics 2009-11-10 V. Werner , C. Scholl , P. von Brentano

We study a bound system of N identical bosons interacting by model pair potentials of the form V(r) = A sgn(p)r^p + B/r^2, A > 0, B >= 0. By using a variational trial function and the `equivalent 2-body method', we find explicit upper and…

Mathematical Physics · Physics 2009-10-31 Richard L. Hall

We expand the triaxial projected shell model basis to include triaxially-deformed multi-quasiparticle states. This allows us to study the yrast and gamma-vibrational bands up to high spins for both gamma-soft and well-deformed nuclei. As…

Nuclear Theory · Physics 2008-11-26 J. A. Sheikh , G. H. Bhat , Y. Sun , G. B. Vakil , R. Palit

The spectrum of a one-dimensional pseudospin-one Hamiltonian with a three-component potential is studied for two configurations: (i) all the potential components are constants over the whole coordinate space and (ii) the profile of some…

Quantum Physics · Physics 2023-10-30 A. V. Zolotaryuk , Y. Zolotaryuk , V. P. Gusynin

Properties of octupole vibrations in rapidly rotating nuclei are discussed. Microscopic RPA calculations based on the cranked shell model are performed to investigate the interplay between rotation and vibrations. The ability of this model…

Nuclear Theory · Physics 2007-05-23 Takashi Nakatsukasa

The determination of thermal and vibrational relaxation rates of triatomic systems suitable for application in hypersonic model calculations is discussed. For this, potential energy surfaces for ground and electronically excited state…

Chemical Physics · Physics 2020-11-06 Debasish Koner , Raymond J. Bemish , Markus Meuwly

We study a class of exactly solvable models for strongly correlated electrons, defined on a set of N cells, and with infinite on-site repulsion on part of the sites of each cell. For 2N or more electrons the exact ground state is known. We…

Condensed Matter · Physics 2009-10-28 Andreas Giesekus , Uwe Brandt

An important characterization of electromagnetic and weak transitions in atomic nuclei are sum rules. We focus on the non-energy-weighted sum rule (NEWSR), or total strength, and the energy-weighted sum rule (EWSR); the ratio of the EWSR to…

Nuclear Theory · Physics 2018-04-03 Yi Lu , Calvin W. Johnson

A new option of parameter constraint is described for the recently proposed neutrino mass formula involving primarily three free parameters. The option implies the vanishing of a part of mass formula for the lowest mass neutrino, the part…

High Energy Physics - Phenomenology · Physics 2007-05-23 Wojciech Krolikowski

A method to implement realistic nucleon-nucleon residual interaction (Bonn CD force) based on the Brueckner G-matrix into the Quasiparticle Random Phase Approximation (QRPA) for deformed nuclei is formulated. The two-neutrino double decay…

Nuclear Theory · Physics 2009-02-18 Mohamed Saleh Yousef , Vadim Rodin , Amand Faessler , Fedor Simkovic

We study low-lying multipole strength in neutron-halo nuclei. The strength depends only on a few low-energy constants: the neutron separation energy, the asymptotic normalization coefficient of the bound state wave function, and the…

Nuclear Theory · Physics 2007-05-23 S. Typel , G. Baur

The survey of different configurations near Fermi surface of 138Nd results in 12 lowest configurations, at both positive- and negative-deformations. These are calculated to be the energetically lowest configurations. The results show that,…

Nuclear Theory · Physics 2019-03-27 Yue Shi

The effective field theory for collective rotations of triaxially deformed nuclei is generalized to odd-mass nuclei by including the angular momentum of the valence nucleon as an additional degree of freedom. The Hamiltonian is constructed…

Nuclear Theory · Physics 2020-03-18 Q. B. Chen , N. Kaiser , Ulf-G. Meißner , J. Meng

The structure of exotic nuclei provides valuable tests for state-of-the-art nuclear theory. In particular electromagnetic transition rates are more sensitive to aspects of nuclear forces and many-body physics than excitation energies alone.…

Phase transition into the phase with Bose-Einstein (BE) condensate in the two-band Bose-Hubbard model with the particle hopping in the excited band only is investigated. Instability connected with such a transition (which appears at…

Quantum Gases · Physics 2011-03-30 I. V. Stasyuk , O. V. Velychko

The pheomenological Generalized Coherent State Model Hamiltonian is amended with a many body term describing a set of nucleons moving in a shell model mean-field and interacting among themselves with paring, as well as with a particle-core…

Nuclear Theory · Physics 2016-03-08 A. A. Raduta , Al. H. Raduta , C. M. Petrache
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