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High-$K$ isomeric states in even-even and odd-mass nuclei are described within a mean-field framework with full blocking and using the finite range Gogny force. Theoretical calculations of low energy spectra of several nuclei across the…

Nuclear Theory · Physics 2023-12-06 L. M. Robledo

The present-day nuclear structure theory exhibits a great degree of synergy with respect to methods that are used to describe various phenomena in heavy nuclear systems. From few-body methods, through the shell model to mean-field…

Nuclear Theory · Physics 2009-11-07 Jacek Dobaczewski

Surface properties of neutron-neutron (T=1) pairing in semi-infinite nuclear matter in a hard wall potential are investigated in BCS approximation using the Gogny force. Surface enhancement of the gap function, pairing tensor and…

Nuclear Theory · Physics 2009-10-31 M. Farine , P. Schuck

A recently proposed statistical theory of the mean fields associated with the ground and excited collective states of a generic many-body system is extended by increasing the dimensions of the P-space. In applying the new framework to…

Nuclear Theory · Physics 2009-11-07 A. De Pace , A. Molinari

The importance of the tensor force for nuclear structure has been recognized long ago. Recently, the interest for this topic has been revived by the study of the evolution of nuclear properties far from the stability line. However, in the…

Nuclear Theory · Physics 2015-06-18 Hiroyuki Sagawa , Gianluca Colò

Self-consistent mean field (MF) and beyond-mean-field (BMF) calculations of masses, separation energies and $2^{+}_{1}$ excitation energies of even-even nuclei where experimental data is available are presented. The functionals used are…

Nuclear Theory · Physics 2015-04-21 Tomás R. Rodríguez , Alexander Arzhanov , Gabriel Martínez-Pinedo

In years to come, we shall see substantial progress in our understanding of nuclear structure - a rich and many-faceted field. An important element in this task will be to extend the study of nuclei into new domains. The journey to 'the…

Nuclear Theory · Physics 2008-11-26 Jacek Dobaczewski , Witold Nazarewicz

We present an overview of beyond mean field theories (BMFT) based on the generator coordinate method (GCM) and the recovery of symmetries used in nuclear physics with effective forces. After a reminder of the Hartree-Fock-Bogoliubov (HFB)…

Nuclear Theory · Physics 2016-06-15 J. Luis Egido

Although self-consistent multi-configuration methods have been used for decades to address the description of atomic and molecular many-body systems, only a few trials have been made in the context of nuclear structure. This work aims at…

Nuclear Theory · Physics 2016-02-02 C. Robin , N. Pillet , D. Peña Arteaga , J. -F. Berger

A fully-antisymmetrized random phase approximation calculation employing the continued fraction technique is performed to study nuclear matter response functions with the finite range Gogny force. The most commonly used parameter sets of…

Nuclear Theory · Physics 2016-09-13 A. De Pace , M. Martini

Microscopic theories beyond mean-field are developed to include pairing, in-medium nucleon-nucleon collisions as well as effects of initial fluctuations of one-body observables on nuclear dynamics. These theories are applied to nuclear…

Nuclear Theory · Physics 2009-09-11 D. Lacroix , M. Assie , S. Ayik , G. Hupin , J. A. Scarpaci , K. Washiyama

Many-body forces are sometimes a relevant ingredient in various fields, such as atomic, nuclear or hadronic physics. Their precise structure is generally difficult to uncover. So, phenomenological effective forces are often used in…

Quantum Physics · Physics 2018-07-19 Claude Semay , Guillaume Sicorello

The density-dependent finite-range Gogny force has been used to derive the effective Hamiltonian for the shell-model calculations of nuclei. The density dependence simulates an equivalent three-body force, while the finite range gives a…

Nuclear Theory · Physics 2018-10-31 Weiguang Jiang , Baishan Hu , Zhonghao Sun , Furong Xu

Analytic average mean-field potentials of the Fermi-function (Woods-Saxon) type for the whole nuclear chart with space-dependent effective mass are deduced from the D1S Gogny force. Those ready-for-use potentials are advertised as an…

Nuclear Theory · Physics 2021-03-03 A. Bhagwat , M. Centelles , X. Viñas , P. Schuck

The relativistic mean-field theory provides a framework in which the nuclear many-body problem is described as a self-consistent system of nucleons and mesons. In the mean-field approximation, the self-consistent time evolution of the…

Nuclear Theory · Physics 2009-10-31 D. Vretenar , P. Ring , G. A. Lalazissis , N. Paar

Static and dynamical aspects of nuclear systems are described through an extended time-dependent mean-field approach. The foundations of the formalism are presented, with highlights on the estimation of average values and their…

Nuclear Theory · Physics 2020-06-02 G. Besse , V. de la Mota , E. Bonnet , P. Eudes , P. Napolitani , Z. Basrak

Phenomenological effective interactions like Skyrme forces are currently used in mean--field calculations in nuclear physics. Mean--field models have strong analogies with the first order of the perturbative many--body problem and the…

Nuclear Theory · Physics 2017-06-01 C. J. Yang , M. Grasso , K. Moghrabi , U. van Kolck

We present an approach for the calculation of odd-nuclei with exact self-consistent blocking and particle number and angular momentum projection with the finite range density dependent Gogny force. As an application we calculate the nucleus…

Nuclear Theory · Physics 2016-09-09 M. Borrajo , J. L. Egido

The many approaches that have been pursued in seeking an understanding of nuclear rotational dynamics are reviewed and reassessed with a view to their development in the light of recent progress and the research tools that are now…

Nuclear Theory · Physics 2017-10-12 David J. Rowe

A completely microscopic beyond mean-field approach has been elaborated to overcome some intrinsic limitations of self-consistent mean-field schemes applied to nuclear systems, such as the incapability to produce some properties of…

Nuclear Theory · Physics 2015-06-16 M. Brenna , G. Colò , X. Roca-Maza , P. F. Bortignon , K. Moghrabi , M. Grasso
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