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Related papers: Beyond Mean-Field Calculations for Odd-A Nuclei

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Dissipation and fluctuations of one-body observables in heavy-ion reactions around the Coulomb barrier are investigated with a microscopic stochastic mean-field approach. By projecting the stochastic mean-field dynamics on a suitable…

Nuclear Theory · Physics 2017-03-22 Kouhei Washiyama , Denis Lacroix , Sakir Ayik , Bülent Yilmaz

We present a method based on mean-field states generated by triaxial quadrupole constraints which are projected on particle number and angular momentum and mixed by the generator coordinate method on the quadrupole moment. This method is…

Nuclear Theory · Physics 2008-11-26 M. Bender , P. -H. Heenen

The nuclear shell model assumes an effective mean-field plus interaction Hamiltonian in a specific configuration space. We want to understand how various interaction matrix elements affect the observables, the collectivity in nuclei and the…

Nuclear Theory · Physics 2017-04-07 S. Karampagia , A. Renzaglia , V. Zelevinsky

Semi-realistic nucleon-nucleon interactions applicable to the self-consistent mean-field (both Hartree-Fock and Hartree-Fock-Bogolyubov) calculations are developed, by modifying the M3Y interaction. The modification is made so as to…

Nuclear Theory · Physics 2014-11-18 H. Nakada

Nuclear masses of exotic nuclei are important for both nuclear physics and astrophysics. The deformed relativistic Hartree-Bogoliubov theory in continuum (DRHBc) is capable of providing proper descriptions for exotic nuclei by…

Nuclear Theory · Physics 2025-12-08 C. Pan , Y. C. Yang , X. F. Jiang , X. H. Wu

Spectroscopic Amplitudes (SA) in the Interacting Boson Fermion Fermion Model (IBFFM) are necessary for the computation of $0\nu\beta\beta$ decays but also for cross sections of heavy-ion reactions, in particular, Double Charge Exchange…

Nuclear Theory · Physics 2021-01-15 Ruslan Magaña Vsevolodovna , Elena Santopinto , Roelof Bijker

We report on a simple strategy to treat mean-field limits of quantum mechanical systems in which a large number of particles weakly couple to a second-quantized radiation field. Extending the method of counting, introduced in [Lett. Math.…

Mathematical Physics · Physics 2021-04-27 Nikolai Leopold , Peter Pickl

We report a study of the low-lying states of deformed $^{21}$Ne within the framework of quantum-number projected generator coordinate method (PGCM), starting from a chiral two-nucleon-plus-three-nucleon (NN+3N) interaction. The wave…

Nuclear Theory · Physics 2024-10-02 W. Lin , E. F. Zhou , J. M. Yao , H. Hergert

To study the exotic odd nuclear systems, the self-consistent continuum Skyrme-Hartree-Fock-Bogoliubov theory formulated with Green's function technique is extended to include blocking effects with the equal filling approximation. Detailed…

Nuclear Theory · Physics 2019-05-22 Ting-Ting Sun , Zi-Xin Liu , Long Qian , Bing Wang , Wei Zhang

We report the recent progress in relativistic mean-field (RMF) and beyond approaches for the low-energy structure of deformed hypernuclei. We show that the $\Lambda$ hyperon with orbital angular momentum $\ell=0$ (or $\ell>1$) generally…

Nuclear Theory · Physics 2019-09-04 J. M. Yao , H. Mei , K. Hagino , T. Motoba

A microscopic and consistent description of both nuclear structure and reactions is instrumental to extend the predictivity of models calculating scattering observables. In particular, this is crucial in the case of exotic nuclei not yet…

Nuclear Theory · Physics 2022-11-28 Andrea Idini , Jimmy Rotureau , Johan Boström , Jimmy Ljungberg , B. Gillis Carlsson

We present a self-consistent theory for odd nuclei with exact blocking and particle number and angular momentum projection. The demanding treatment of the pairing correlations in a variation-after-projection approach as well as the explicit…

Nuclear Theory · Physics 2017-01-04 Marta Borrajo , J. Luis Egido

An approach to the Generator Coordinate Method (GCM) using Skyrme-type effective forces and Woods-Saxon construction potential is applied to calculate the single-particle proton and neutron overlap functions in $^{40}$Ca. The relationship…

Nuclear Theory · Physics 2009-11-06 M. V. Ivanov , M. K. Gaidarov , A. N. Antonov , C. Giusti

Ground state quadrupole moments of odd-odd near double magic nuclei are calculated in the approximation of no interaction between odd particles. Under such a simple approximation, the problem is reduced to the calculations of quadrupole…

Nuclear Theory · Physics 2015-06-11 D. Voitenkov , O. Achakovskiy , S. Kamerdzhiev , S. Tolokonnikov

Heavy even-even nuclei exhibit low-energy collective excitations that are separated in scale from the microscopic (fermion) degrees of freedom. This separation of scale allows us to approach nuclear vibrations within an effective field…

Nuclear Theory · Physics 2016-11-21 E. A. Coello Pérez , T. Papenbrock

We discuss the pairing gap, a measure for nuclear pairing correlations, in chains of spherical, semi-magic nuclei in the framework of self-consistent nuclear mean-field models. The equations for the conventional BCS model and the…

Nuclear Theory · Physics 2011-10-11 M. Bender , K. Rutz , P. -G. Reinhard , J. A. Maruhn

We present a systematic analysis of the description of odd nuclei by the Skyrme-Hartree-Fock approach augmented with pairing in BCS approximation and blocking of the odd nucleon. Current and spin densities in the Skyrme functional produce…

Nuclear Theory · Physics 2010-11-08 K. J. Pototzky , J. Erler , P. -G. Reinhard , V. O. Nesterenko

We benchmark angular-momentum projected{-after-variation} Hartree-Fock calculations as an approximation to full configuration-interaction results in a shell model basis. For such a simple approximation we find reasonably good agreement…

Nuclear Theory · Physics 2021-11-12 Stephanie M. Lauber , Hayden C. Frye , Calvin W. Johnson

We present the first set of results of solving the Hartree-Fock-Bogoliubov equations, which describe the self-consistent mean field theory with pairing interaction. Calculations for even-even nuclei are carried out on a two-dimensional…

Nuclear Theory · Physics 2007-05-23 E. Teran , V. E. Oberacker , A. S. Umar

We develop an effective field theory (EFT) for deformed odd-mass nuclei. These are described as an axially symmetric core to which a nucleon is coupled. In the coordinate system fixed to the core the nucleon is subject to an axially…

Nuclear Theory · Physics 2020-10-28 T. Papenbrock , H. A. Weidenmüller