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A microscopic formulation of the interacting boson-fermion model for odd-$A$ nuclei is made using the nuclear energy density functional framework. Strength parameters for the bosonic Hamiltonian and boson-fermion interactions are shown to…

Nuclear Theory · Physics 2025-09-22 M. Homma , K. Nomura

The widely used thermal Hartree-Fock (HF) theory is generalized to include the effect of electron correlation while maintaining its quasi-independent-particle framework. An electron-correlated internal energy (or grand potential) is…

Statistical Mechanics · Physics 2024-08-22 So Hirata

H-wave is an open-source software package for performing the Hartree--Fock approximation (HFA) and random phase approximation (RPA) for a wide range of Hamiltonians of interacting fermionic systems. In HFA calculations, H-wave examines the…

Strongly Correlated Electrons · Physics 2024-02-02 Tatsumi Aoyama , Kazuyoshi Yoshimi , Kota Ido , Yuichi Motoyama , Taiki Kawamura , Takahiro Misawa , Takeo Kato , Akito Kobayashi

Neutrinos and their weak interactions play a vital role in the physics of core-collapse supernovae and binary neutron star mergers. Their description within astrophysical simulations, including the weak rates, is of pivotal importance not…

High Energy Astrophysical Phenomena · Physics 2026-05-19 Kamil Sokołowski , Anil Kumar , Tobias Fischer

The formalism based on correlated basis functions and the cluster expansion technique has been recently employed to derive an effective interaction from a realistic nuclear hamiltonian. To gauge the reliability of this scheme, we perform a…

Nuclear Theory · Physics 2015-08-17 Angela Mecca , Alessandro Lovato , Omar Benhar , Artur Polls

We describe a path-integral approach for including nuclear quantum effects in non-adiabatic chemical dynamics simulations. For a general physical system with multiple electronic energy levels, a corresponding isomorphic Hamiltonian is…

Statistical Mechanics · Physics 2018-06-05 Xuecheng Tao , Philip Shushkov , Thomas Miller

Spectroscopic labels for a few particles with spin that are harmonically trapped in one-dimension with effectively zero-range interactions are provided by quantum numbers that characterize the symmetries of the Hamiltonian: permutations of…

Quantum Physics · Physics 2014-05-28 N. L. Harshman

We study Fermi transitions and isospin mixing in an isotopic chain 70-78 Kr considering various approximations that use the same Skyrme-Hartree-Fock single particle basis. We study Coulomb effects as well as the effect of BCS and…

Nuclear Theory · Physics 2009-11-11 R. Alvarez-Rodriguez , E. Moya de Guerra , P. Sarriguren

Background: Response to spin-dependent operators has been investigated in the magnetic dipole and Gamow-Teller transitions, which provides magnetic properties of a nuclear system. Purpose: I investigate an isotopic dependence of the…

Nuclear Theory · Physics 2021-07-15 Kenichi Yoshida

The random phase approximation (RPA) for the correlation energy functional of density functional theory has recently attracted renewed interest. Formulated in terms of the Kohn-Sham (KS) orbitals and eigenvalues, it promises to resolve some…

Other Condensed Matter · Physics 2009-11-13 Hong Jiang , Eberhard Engel

There are problems with defining the thermodynamic limit of systems with long-range interactions; as a result, the thermodynamic behavior of these types of systems is anomalous. In the present work, we review some concepts from both…

Statistical Mechanics · Physics 2009-11-13 L. A. del Pino , P. Troncoso , S. Curilef

We present a theoretical and numerical study of the correlation between electrons and the fermionic $^{13}$C and $^{19}$F nuclei. We use the random-phase approximation (RPA) as a valuable tool in obtaining these correlation energies. A…

Chemical Physics · Physics 2026-04-29 Janina Vohdin , Christof Holzer

Spin-isospin transitions in nuclei away from the valley of stability are essential for the description of astrophysically relevant weak interaction processes. While they remain mainly beyond the reach of experiment, theoretical modeling…

Nuclear Theory · Physics 2021-06-16 D. Vale , Y. F. Niu , N. Paar

We present a covariant extension of the relativistic Fermi gas model which incorporates correlation effects in nuclei. Within this model, inspired by the BCS descriptions of systems of fermions, we obtain the nuclear spectral function and…

Nuclear Theory · Physics 2010-01-22 M. B. Barbaro , R. Cenni , T. W. Donnelly , A. Molinari

The Microscopic Otical Model Potential is evaluated within a relativistic scheme which provides a natural and consistent relation between the spin-orbit part and the central part of the potential. The Dirac-Brueckner-Hartree-Fock (DBHF)…

Nuclear Theory · Physics 2016-09-21 Ruirui Xu , Zhongyu Ma , Yue Zhang , Yuan Tian , E. N. E. van Dalen , H. Müther

The self-consistent quasiparticle RPA (SCQRPA) is constructed to study the effects of fluctuations on pairing properties in nuclei at finite temperature and z-projection M of angular momentum. Particle-number projection (PNP) is taken into…

Nuclear Theory · Physics 2011-02-18 N. Dinh Dang , N. Quang Hung

We discuss the inclusion of relativistic boost corrections into the CBF effective nuclear Hamiltonian, derived from a realistic model of two- and three-nucleon interactions using the formalism of correlated basis functions and the cluster…

Nuclear Theory · Physics 2024-12-04 Andrea Sabatucci , Omar Benhar , Alessandro Lovato

The pseudofermion functional renormalization group (PFFRG) method has proven to be a powerful numerical approach to treat frustrated quantum spin systems. In its usual implementation, however, the complex fermionic representation of spin…

Strongly Correlated Electrons · Physics 2021-09-21 Nils Niggemann , Björn Sbierski , Johannes Reuther

We employ a microscopic approach that examines the impact of isospin dynamics on the process of low energy nuclear fusion along an isotope chain and dependence on deformation. Our method utilizes the density constrained time-dependent…

Nuclear Theory · Physics 2023-10-13 Richard Gumbel , Christian Ross , A. S. Umar

The isospin diffusion and other irreversible phenomena are discussed for a two-component nuclear Fermi system. The set of Boltzmann transport equations, such as employed for reactions, are linearized, for weak deviations of a system from…

Nuclear Theory · Physics 2009-11-10 L. Shi , P. Danielewicz