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Using modern nucleon-nucleon interactions in the description of the $A=3,4$ nuclei, it is not possible to reproduce both the three- and four-nucleon binding energies simultaneously. This is one manifestation of the necessity of including a…

Nuclear Theory · Physics 2015-05-18 A. Kievsky , M. Viviani , L. Girlanda , L. E. Marcucci

The Semimicroscopic Algebraic Cluster Model (SACM) is extended to heavy nuclei, making use of the pseudo-SU(3) model. As a first step, the concept of forbiddenness will be resumed. One consequence of the forbiddenness is that the ground…

Nuclear Theory · Physics 2017-06-02 Huitzilin Yépez-Martínez , Peter O. Hess

The single-particle spectrum of deformed shell-model states in nuclei, is shown to exhibit a supersymmetric pattern. The latter involves deformed pseudospin doublets and intruder levels. The underlying supersymmetry is associated with the…

Nuclear Theory · Physics 2011-02-18 A. Leviatan

The pseudo-spin symmetry is reviewed. A mapping that produces the separation of the total angular momentum into pseudo-orbital and pseudo-spin degrees of freedom is discussed, together with the analytic transformations that take us from the…

Properties of the neutron rich $^{11}$Li nucleus are calculated in the framework of the cluster model $^{9}$Li $+n+n$. The formalism of the harmonic oscillator representation of the scattering theory is used for the description of bound and…

Nuclear Theory · Physics 2007-05-23 Yu. A. Lurie , A. M. Shirokov , Yu. F. Smirnov

In this talk we first overview lattice results that have led to the observation of new SU(2)_{CS} and SU(2N_F) symmetries upon artificial truncation of the near-zero modes of the Dirac operator at zero temperature and at high temperature…

High Energy Physics - Lattice · Physics 2018-08-29 L. Ya. Glozman

Prolate to oblate shape transitions have been predicted in an analytic way in the framework of the Interacting Boson Model (IBM), determining O(6) as the symmetry at the critical point. Parameter-independent predictions for prolate to…

Nuclear Theory · Physics 2024-09-09 Dennis Bonatsos , Andriana Martinou , S. K. Peroulis , T. J. Mertzimekis , N. Minkov

From a consistent Kaluza-Klein truncation of 11-dimensional supergravity over AdS_4 x CP^3 x S^1/Z_k, with a general 4-form ansatz, we arrive at a set of equations and solutions for the included fields. In particular, we have a bulk…

High Energy Physics - Theory · Physics 2018-12-21 M. Naghdi

Background: Quasi dynamical symmetries (QDS) and partial dynamical symmetries (PDS) play an important role in the understanding of complex systems. Up to now these symmetry concepts have been considered to be unrelated. Purpose: Establish a…

Nuclear Theory · Physics 2015-07-07 C. Kremer , J. Beller , A. Leviatan , N. Pietralla , G. Rainovski , R. Trippel , P. Van Isacker

A fermion realization of the compact symplectic sp(4) algebra provides a natural framework for studying isovector pairing correlations in nuclei. While these correlations manifest themselves most clearly in the binding energies of 0^+…

Nuclear Theory · Physics 2008-11-26 K. D. Sviratcheva , A. I. Georgieva , J. P. Draayer

Performing shell model calculations for heavy nuclei is a long-standing problem in nuclear physics. The shell model truncation in the configuration space is an unavoidable step. The Projected Shell Model (PSM) truncates the space under the…

Nuclear Theory · Physics 2009-11-11 Yang Sun

Excited states in neutron-rich nuclei located south-east of $^{132}$Sn are investigated by shell-model calculations. A new shell-model Hamiltonian is constructed for the present study. The proton-proton and neutron-neutron interactions of…

The spectra of the nucleons, $\Delta$ resonances and the strange hyperons are well described by the constituent quark model if in addition to the harmonic confinement potential the quarks are assumed to interact by exchange of the $SU(3)_F$…

High Energy Physics - Phenomenology · Physics 2011-07-19 L. Ya. Glozman , D. O. Riska

The use of quasi-elastic electron nucleus scattering is shown to provide significant constraints on models of the proton electromagnetic form factor of off-shell nucleons. Such models can be constructed to be consistent with constraints…

Nuclear Theory · Physics 2013-05-30 Gerald A. Miller , Anthony W. Thomas , Jonathan D. Carroll

The proxy-SU(3) symmetry was first presented in HINPw4 in Ioannina in May2017, justified within the Nilsson model and applied to parameter-free predictions of the collective variables beta and gamma in medium-mass and heavy nuclei. Major…

Nuclear Theory · Physics 2025-05-27 Dennis Bonatsos , Andriana Martinou , S. K. Peroulis , T. J. Mertzimekis , N. Minkov

We describe a method that allows for a practical application of the theory of pseudo-Hermitian operators to PT-symmetric systems defined on a complex contour. We apply this method to study the Hamiltonians $H=p^2+x^2(ix)^\nu$ with…

Quantum Physics · Physics 2007-05-23 Ali Mostafazadeh

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

We evaluate the antikaon and hyperon spectral functions in a self-consistent and covariant many-body approach. The computation is based on coupled-channel dynamics derived from the chiral SU(3) Lagrangian. A novel subtraction scheme is…

Nuclear Theory · Physics 2008-11-26 M. F. M. Lutz , C. L. Korpa , M. Moeller

In this paper, the decay constants and mean square radii of pseudoscalar heavy mesons are studied in the SU(3) symmetry breaking. Within the light-front framework, the ratios $f_{D_s}/f_D$ and $f_{B_s}/f_B$ are individually estimated using…

High Energy Physics - Phenomenology · Physics 2015-03-13 Chien-Wen Hwang

Reference-state-based many-body methods start from Hamiltonians that are normal ordered with respect to the reference state. In low-energy nuclear physics applications normal-ordered Hamiltonians consisting of two- and three-nucleon forces…

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