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A practical high-accuracy relativistic method of atomic structure calculations for univalent atoms is presented. The method is rooted in the coupled-cluster formalism and includes non-perturbative treatment of single and double excitations…

Atomic Physics · Physics 2009-11-11 Sergey G. Porsev , Andrei Derevianko

We extend the spherical coupled-cluster ab initio method for open-shell nuclei where two nucleons are removed from a shell subclosure. Following the recent implementation of the two-particle attached approach [Phys. Rev.C 110 (2024) 4,…

Nuclear Theory · Physics 2026-02-06 Francesco Marino , Francesca Bonaiti , Sonia Bacca , Gaute Hagen , Gustav R. Jansen

Single-reference coupled-cluster theory is an accurate and affordable computational method for the nuclear many-body problem. For open-shell nuclei, the reference state typically breaks rotational invariance and angular momentum must be…

Nuclear Theory · Physics 2022-08-03 G. Hagen , S. J. Novario , Z. H. Sun , T. Papenbrock , G. R. Jansen , J. G. Lietz , T. Duguet , A. Tichai

The analysis of correlation energy of the simplest first approximation of a variational method for the intrashell states of two-electron atoms is the purpose of the present work. This method allows to divide energy of atom on Coulomb and…

Atomic Physics · Physics 2008-10-23 V. V. Kavera

In this article, the molecular permanent electric dipole moments and components of static dipole polarizabilities for the electronic ground state of singly charged aluminum monohalides are reported. The coupled-cluster method by considering…

Atomic Physics · Physics 2024-06-18 Ankush Thakur , Renu Bala , H. S. Nataraj , V. S. Prasannaa

We have studied electron correlations in the doped two-dimensional (2D) Hubbard model by using the coupled-cluster method (CCM) to investigate whether or not the method can be applied to correct the independent particle approximations…

Strongly Correlated Electrons · Physics 2009-10-31 Yoshihiro Asai , Hideki Katagiri

We have developed an efficient scheme for the calculation of transition properties within the four-component relativistic equation-of-motion coupled-cluster (EOM-CC) method using the expectation value approach. The calculation of transition…

An approximate relativistic two-component Hamiltonian for use in molecular electronic structure calculations is derived in the form of a sum of fixed atom-centered kinetic and spin-orbit operators added to the non-relativistic Hamiltonian.…

Chemical Physics · Physics 2019-02-13 Dimitri N. Laikov

This work presents a first time accurate calculation of the magnetic dipole hyperfine structure constants for the ground state and some low-lying excited states of Pb$^+$. By comparing different levels of approximation with experimental…

Atomic Physics · Physics 2009-11-10 Bijaya K. Sahoo , Rajat K. Chaudhuri , B. P. Das , Holger Merlitz , Debashis Mukherjee

Recently, a method was developed for implementing arbitrary short-range nucleon-nucleon correlations in Monte Carlo sampled nuclei (as well as deformations of the 1-body nuclear density). We use this method to implement realistic 2-body…

Nuclear Theory · Physics 2023-12-19 Matthew Luzum , João Paulo Picchetti , Mauricio Hippert , Jean-Yves Ollitrault

The double ionization potential (DIP) equation-of-motion (EOM) coupled-cluster (CC) method with a full treatment of 4-hole-2-particle (4$h$-2$p$) correlations and triply excited clusters, abbreviated as DIP-EOMCCSDT(4$h$-2$p$), and its…

Chemical Physics · Physics 2025-02-12 Karthik Gururangan , Achintya Kumar Dutta , Piotr Piecuch

We develop a new method to describe electromagnetic observables of open-shell nuclei with two nucleons outside a closed shell. This approach combines the equation-of-motion coupled-cluster method for such systems and the Lorentz integral…

Nuclear Theory · Physics 2024-10-14 Francesca Bonaiti , Sonia Bacca , Gaute Hagen , Gustav R. Jansen

We have developed one electron detachment theory from a closed-shell atomic configuration in the relativistic Fock-space coupled-cluster ansatz. Using this method, we determine sensitivity coefficients to the variation of the fine structure…

Atomic Physics · Physics 2013-11-20 D. K. Nandy , B. K. Sahoo

We develop a theoretical method within the framework of relativistic many-body theory to accurately treat correlation corrections in atoms with few valence electrons. This method combines the all-order approach currently used in precision…

Atomic Physics · Physics 2009-09-01 M. S. Safronova , M. G. Kozlov , W. R. Johnson , Dansha Jiang

We report the development of a parallel FORTRAN code, RCCPAC, to solve the relativistic coupled-cluster equations for closed-shell and one-valence atoms and ions. The parallelization is implemented through the use of message passing…

Atomic Physics · Physics 2017-02-08 B. K. Mani , Siddhartha Chattopadhyay , D. Angom

This review article deals with some case studies of relativistic and correlation effects in atomic systems. After a brief introduction to relativistic many-electron theory, a number of applications ranging from correlation energy to parity…

Atomic Physics · Physics 2007-05-23 B. P. Das , K. V. P. Latha , Bijaya K. Sahoo , Chiranjib Sur , Rajat K Chaudhuri , D. Mukherjee

We present the theory and implementation of a highly efficient relativistic third-order algebraic diagrammatic construction [ADC(3)] method based on a four-component (4c) Dirac-Coulomb (DC) Hamiltonian for the calculation of ionization…

Chemical Physics · Physics 2024-11-01 Sudipta Chakraborty , Tamoghna Mukhopadhyay , Malaya K. Nayak , Achintya Kumar Dutta

The double electron attachment (DEA) and double ionization potential (DIP) equation-of-motion coupled-cluster (EOMCC) methods including up to 4-particle-2-hole (4$p$-2$h$) and 4-hole-2-particle (4$h$-2$p$) excitations on top of…

Chemical Physics · Physics 2026-05-21 Jun Shen , Karthik Gururangan , Piotr Piecuch

We report an efficient implementation of the ionization potential (IP) variant of the equation-of-motion coupled cluster (IP-EOM-CC) method based on the exact two-component atomic mean field (X2CAMF) framework, utilizing Cholesky…

Chemical Physics · Physics 2025-06-10 Somesh Chamoli , Malaya K. Nayak , Achintya Kumar Dutta

Theoretical calculations based on the Dirac--Coulomb--Breit relativistic coupled cluster method have been carried out for the electron affinities and ionization potentials of the superheavy element nihonium (Nh) and its lighter homologues…

Atomic Physics · Physics 2022-07-13 Yangyang Guo , Anastasia Borschevsky , Ephraim Eliav , Lukáš F. Pašteka