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We propose a framework to learn the time-dependent Hartree-Fock (TDHF) inter-electronic potential of a molecule from its electron density dynamics. Though the entire TDHF Hamiltonian, including the inter-electronic potential, can be…

Chemical Physics · Physics 2024-12-05 Harish S. Bhat , Prachi Gupta , Christine M. Isborn

In the present work, we have reported shell model results for open shell nuclei Ne, Mg and Si isotopes with $10 \leq N \leq 20$ in $sd$-shell model space. We have performed calculations in $sd$ shell with two $ab~initio$ approaches:…

Nuclear Theory · Physics 2019-04-15 A. Saxena , A. Kumar , V. Kumar , P. C. Srivastava , T. Suzuki

The efficiency of the recently proposed iCIPT2 [iterative configuration interaction (iCI) with selection and second-order perturbation theory (PT2); J. Chem. Theory Comput. 16, 2296 (2020)] for strongly correlated electrons is further…

Chemical Physics · Physics 2020-11-19 Ning Zhang , Wenjian Liu , Mark R. Hoffmann

The mechanism that restores the pseudo-spin symmetry (PSS) are investigated under the relativistic Hartree-Fock (RHF) approach, by focusing on the in-medium balance between nuclear attractive and repulsive interactions. It is illustrated…

Nuclear Theory · Physics 2019-11-13 Jing Geng , Jia Jie Li , Wen Hui Long , Yi Fei Niu , Shi Yao Chang

While the no-core shell model is a state-of-the-art microscopic approach to low-energy nuclear structure, its intense computational requirements lead us to consider time-honored approximations such as the Hartree-Fock (HF) approximation and…

Nuclear Theory · Physics 2007-05-23 Calvin W. Johnson , Ionel Stetcu

The two recent density-dependent versions of the finite-range M3Y interaction (CDM3Y$n$ and M3Y-P$n$) have been probed against the bulk properties of asymmetric nuclear matter (NM) in the nonrelativistic Hartree Fock (HF) formalism. The…

Nuclear Theory · Physics 2010-05-07 Hoang Sy Than , Dao T. Khoa , Nguyen Van Giai

We demonstrate behaviors of correlation effects in the calculations of atomic properties through two commonly employed many-body methods; namely multiconfiguration Dirac-Hartree-Fock (MCDHF) and relativistic coupled-cluster (RCC) methods.…

Atomic Physics · Physics 2025-04-29 B. K. Sahoo , Per Jönsson , Gediminas Gaigalas

Background: Collective excitations of nuclei and their theoretical descriptions provide an insight into the structure of nuclei. Replacing traditional phenomenological interactions with unitarily transformed realistic nucleon-nucleon…

Nuclear Theory · Physics 2014-09-03 Bastian Erler , Robert Roth

Adopting the density dependent relativistic mean-field (RMF) and relativistic Hartree-Fock (RHF) approaches, the properties of the nuclear fourth-order symmetry energy $S_4$ are studied within the covariant density functional (CDF) theory.…

Nuclear Theory · Physics 2018-02-12 Zhi Wei Liu , Zhuang Qian , Ruo Yu Xing , Jia Rui Niu , Bao Yuan Sun

The phenomenon of shape coexistence is discussed within the self-consistent Hartree-Fock method and the nuclear shell model. The occurrence of the coexisting configurations with different intrinsic shapes is traced back to the properties of…

Nuclear Theory · Physics 2009-10-31 P. -G. Reinhard , D. J. Dean , W. Nazarewicz , J. Dobaczewski , J. A. Maruhn , M. R. Strayer

The multiconfiguration time-dependent Hartree-Fock (MCTDHF) method is formulated for treating the coupled electronic and nuclear dynamics of diatomic molecules without the Born- Oppenheimer approximation. The method treats the full…

Computational Physics · Physics 2015-05-27 Daniel J. Haxton , Keith V. Lawler , C. William McCurdy

In this work, we develop a mathematical framework for a Selected Configuration Interaction (SCI) algorithm within a bi-orthogonal basis for transcorrelated (TC) calculations. The bi-orthogonal basis used here serves as the equivalent of the…

Chemical Physics · Physics 2023-06-22 Abdallah Ammar , Anthony Scemama , Emmanuel Giner

We construct valence-space Hamiltonians for use in shell-model calculations, where the residual two-body interaction is based on symmetry principles and the low-momentum expansion from chiral effective field theory. In addition to the usual…

Nuclear Theory · Physics 2018-11-13 Lukas Huth , Victoria Durant , Johannes Simonis , Achim Schwenk

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…

Nuclear Theory · Physics 2009-10-28 E. Bender , K. W. Schmid , Amand~Faessler

The Hartree-Fock based diagonalization is a computational method for the investigation of the low-energy properties of correlated electrons in disordered solids. The method is related to the quantum-chemical configuration interaction…

Disordered Systems and Neural Networks · Physics 2007-05-23 Michael Schreiber , Thomas Vojta

The spectroscopic properties of the odd-odd isotopes $^{124-132}$Cs have been studied within the interacting boson-fermion-fermion model based on the Gogny-D1M energy density functional framework. Major ingredients to build the interacting…

Nuclear Theory · Physics 2020-01-15 K. Nomura , R. Rodríguez-Guzmán , L. M. Robledo

The combination of configuration interaction and many-body perturbation theory methods (CI+MBPT) is extended to non-perturbatively include configurations with electron holes below the designated Fermi level, allowing us to treat systems…

Atomic Physics · Physics 2016-07-13 J. C. Berengut

In this review, we discuss recent applications of the ab initio symmetry-adapted no-core shell-model (SA-NCSM) theory for study and prediction of structure and reactions of stable and unstable nuclei from light to medium mass range. We…

Reliable theoretical predictions of nuclear dipole excitations are crucial for various nuclear applications, particularly in nuclear astrophysics. Calculations of radiative capture cross sections often rely on theoretical gamma strength…

Nuclear Theory · Physics 2025-12-10 O. Le Noan , K. Sieja

We utilize a nuclear shell model Hamiltonian with only two adjustable parameters to generate, for the first time, exact solutions for pairing correlations for light to medium-mass nuclei, including the challenging proton-neutron pairs,…

Nuclear Theory · Physics 2019-12-18 M. E. Miora , K. D. Launey , D. Kekejian , F. Pan , J. P. Draayer
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