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We report the first study of restoration of rotational symmetry and fluctuations of the quadrupole deformation in the framework of relativistic mean-field models. A model is developed which uses the generator coordinate method to perform…

核理论 · 物理学 2009-11-11 T. Niksic , D. Vretenar , P. Ring

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…

核理论 · 物理学 2008-11-26 M. Bender , P. -H. Heenen

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…

核理论 · 物理学 2008-11-26 T. Niksic , D. Vretenar , P. Ring

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…

核理论 · 物理学 2016-09-02 Yasutaka Taniguchi

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…

核理论 · 物理学 2019-12-06 Mitsuhiro Shimada , Shingo Tagami , Yoshifumi R. Shimizu

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…

核理论 · 物理学 2010-04-29 J. M. Yao , J. Meng , P. Ring , D. Vretenar

Combining several techniques, we propose an efficient and numerically reliable method to perform the quantum number projection and configuration mixing for most general mean-field states, i.e., the Hartree-Fock-Bogoliubov (HFB) type product…

核理论 · 物理学 2012-02-03 Shingo Tagami , Yoshifumi R. Shimizu

We perform simultaneous analysis of (1) matter radii, (2) $B(E2; 0^+ \rightarrow 2^+ )$ transition probabilities, and (3) excitation energies, $E(2^+)$ and $E(4^+)$, for $^{24-40}$Mg by using the beyond mean-field (BMF) framework with…

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…

核理论 · 物理学 2019-07-24 Masaki Ushitani , Shingo Tagami , Yoshifumi R. Shimizu

We present the first calculations of a symmetry conserving configuration mixing method (SCCM) using time-reversal symmetry breaking Hartree-Fock-Bogoliubov (HFB) states with the Gogny D1S interaction. The method includes particle number and…

核理论 · 物理学 2015-06-11 Marta Borrajo , Tomás R. Rodríguez , J. Luis Egido

A multi-configuration mixing approach built on essentially complex, symmetry-projected Hartree-Fock-Bogoliubov (HFB) mean fields is introduced. The mean fields are obtained by variation after projection. The configuration space consists out…

核理论 · 物理学 2009-10-28 E. Bender , K. W. Schmid , Amand~Faessler

Configuration mixing calculations performed in terms of the Skyrme/Gogny Energy Density Functional (EDF) rely on extending the Single-Reference energy functional into non-diagonal EDF kernels. The standard way to do so, based on an analogy…

核理论 · 物理学 2009-12-17 Denis Lacroix , Michael Bender , Thomas Duguet

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…

核理论 · 物理学 2021-11-02 J. A. Sheikh , J. Dobaczewski , P. Ring , L. M. Robledo , C. Yannouleas

In this work, the phase function method (PFM) is employed for the first time to explicitly construct scattering wavefunctions for the $\alpha\alpha$ system using a single-term Morse potential. Unlike earlier PFM-based studies that primarily…

核理论 · 物理学 2026-02-24 Anil Khachi , Shikha Awasthi , Tarachand Verma , Ranjana Joshi

Background: The Hartree-Fock mean-field approximation is standard in combination with energy density functionals (EDF) that account for some dynamical correlations. Breaking and restoring the symmetries of the system allow for the inclusion…

核理论 · 物理学 2023-11-20 Joshua Cesca , Cédric Simenel

We present a pfaffian formula for projection and symmetry restoration for wave functions of the general Bogoliubov form, including quasiparticle excited states and linear combinations of them. This solves a long-standing problem in…

核理论 · 物理学 2013-05-30 G. F. Bertsch , L. M. Robledo

Within the Energy Density Functional (EDF) approach, the use of mean-field wave-functions deliberately breaking (some) symmetries of the underlying Hamiltonian is an efficient and largely utilized way to incorporate static correlations.…

核理论 · 物理学 2024-04-23 A. Porro , G. Colò , T. Duguet , D. Gambacurta , V. Somà

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…

核理论 · 物理学 2014-11-20 Tomás R. Rodríguez , J. Luis Egido

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…

核理论 · 物理学 2011-02-18 J. M. Yao , H. Mei , H. Chen , J. Meng , P. Ring , D. Vretenar

We study shape coexistence in Pb186 using configuration mixing of angular-momentum and particle-number projected self-consistent mean-field states. The same Skyrme interaction SLy6 is used everywhere in connection with a density-dependent…

核理论 · 物理学 2009-11-07 T. Duguet , M. Bender , P. Bonche , P. -H. Heenen
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