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The framework of relativistic self-consistent mean-field models is extended to include correlations related to the restoration of broken symmetries and to fluctuations of collective variables. The generator coordinate method is used to…

Nuclear Theory · Physics 2008-11-26 T. Niksic , D. Vretenar , P. Ring

The framework of relativistic energy density functionals is extended to include correlations related to the restoration of broken symmetries and to fluctuations of collective variables. The generator coordinate method is used to perform…

Nuclear Theory · Physics 2010-04-29 J. M. Yao , J. Meng , P. Ring , D. Vretenar

We present in this paper the general framework of a method which permits to restore the rotational and particle number symmetries of wave functions obtained in Skyrme HF+BCS calculations. This restoration is nothing but a projection of…

Nuclear Theory · Physics 2009-10-31 A. Valor , P. -H. Heenen , P. Bonche

The recently developed structure model that uses the generator coordinate method to perform configuration mixing of angular-momentum projected wave functions, generated by constrained self-consistent relativistic mean-field calculations for…

Nuclear Theory · Physics 2011-02-18 J. M. Yao , H. Mei , H. Chen , J. Meng , P. Ring , D. Vretenar

Based on a relativistic mean-field theory with an effective point coupling between the nucleons, three-dimensional angular momentum projection is implemented for the first time to project out states with designed angular momentum from…

Nuclear Theory · Physics 2009-12-31 J. M. Yao , J. Meng , P. Ring , D. Pena Arteaga

By employing the angular momentum projection technique we propose a method to reliably calculate the quantum spectrum of nuclear collective rotation. The method utilizes several cranked mean-field states with different rotational…

Nuclear Theory · Physics 2019-12-06 Mitsuhiro Shimada , Shingo Tagami , Yoshifumi R. Shimizu

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

Recently we have investigated an effective method of multicranked configuration-mixing for angular-momentum-projection calculation, where several cranked mean-field states are coupled after projection: The basic idea was originally proposed…

Nuclear Theory · Physics 2019-07-24 Masaki Ushitani , Shingo Tagami , Yoshifumi R. Shimizu

Angular momentum projection is used to obtain eigen states of angular momentum from general wave functions. Multi-configuration mixing calculation with angular momentum projection is an important microscopic method in nuclear physics. For…

Nuclear Theory · Physics 2016-09-02 Yasutaka Taniguchi

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

We present the first implementation in the $(\beta,\gamma)$ plane of the generator coordinate method with full triaxial angular momentum and particle number projected wave functions using the Gogny force. Technical details about the…

Nuclear Theory · Physics 2014-11-20 Tomás R. Rodríguez , J. Luis Egido

Angular momentum projection is a basic technique in constructing nuclear wave functions with good spins. Traditionally, a projected nuclear wave function is expressed in terms of the bases built by performing the angular momentum projection…

Nuclear Theory · Physics 2026-04-15 Wen Chen , Zhan-Jiang Lian , Xue-Wei Li , Xin-Yang Xia , Zi-Yang He , Ke-Zheng Ruan , Zao-Chun Gao

Giant Resonances are, with nuclear rotations, the most evident expression of collectivity in finite nuclei. These two categories of excitations, however, are traditionally described within different formal schemes, such that vibrational and…

Nuclear Theory · Physics 2024-07-02 Andrea Porro , Thomas Duguet , Jean-Paul Ebran , Mikael Frosini , Robert Roth , Vittorio Somà

We develop a relativistic mean field (RMF) description of deformed nuclei with the pairing correlations in the BCS approximation. The treatment of the pairing correlations for nuclei with the Fermi surface being close to the threshold of…

Nuclear Theory · Physics 2009-11-10 L. S. Geng , H. Toki , S. Sugimoto , J. Meng

The framework of relativistic energy density functionals is extended to include correlations related to restoration of broken symmetries and fluctuations of collective variables. A new implementation is developed for the solution of the…

Nuclear Theory · Physics 2009-04-28 T. Niksic , Z. P. Li , D. Vretenar , L. Prochniak , J. Meng , P. Ring

Recently we have proposed a reliable method to describe the rotational band in a fully microscopic manner. The method has recourse to the configuration-mixing of several cranked mean-field wave functions after the…

Nuclear Theory · Physics 2016-05-04 Mitsuhiro Shimada , Shingo Tagami , Yoshifumi R. Shimizu

The mean-field approximation based on effective interactions or density functionals plays a pivotal role in the description of finite quantum many-body systems that are too large to be treated by ab initio methods. Some examples are…

Nuclear Theory · Physics 2021-11-02 J. A. Sheikh , J. Dobaczewski , P. Ring , L. M. Robledo , C. Yannouleas

The degrees of freedom associated with shape fluctuations and space orientation of atomic nuclei are analyzed with effective forces and large configuration spaces. A pedagogical theoretical introduction to the topic of symmetries…

Nuclear Theory · Physics 2017-01-25 J. L. Egido , L. M. Robledo

A microscopic angular momentum projection after variation is used to describe quadrupole collectivity in (^{30,32,34}Mg) and (^{32,34,36,38}Si). The Hartree-Fock-Bogoliubov states obtained in the quadrupole constrained mean field approach…

Nuclear Theory · Physics 2009-11-06 R. Rodriguez-Guzman , J. L. Egido , L. M. Robledo

We discuss the systematics of ground-state quadrupole correlations of binding energies and mean-square charge radii for all even-even nuclei, from O16 up to the superheavies, for which data are available. To that aim we calculate their…

Nuclear Theory · Physics 2009-11-11 M. Bender , G. F. Bertsch , P. -H. Heenen
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