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Determination of nuclear moments for many nuclei relies on the computation of hyperfine constants, with theoretical uncertainties directly affecting the resulting uncertainties of the nuclear moments. In this work we improve the precision…

Atomic Physics · Physics 2022-01-05 S. G. Porsev , M. S. Safronova , M. G. Kozlov

$^{229}$Th is a promising candidate for developing a nuclear optical clock and searching the new physics beyond the standard model. Accurate knowledge of the nuclear properties of $^{229}$Th is very important. In this work, we calculate…

Atomic Physics · Physics 2022-01-05 Fei-Chen Li , Hao-Xue Qiao , Yong-Bo Tang , Ting-Yun Shi

A relativistic version of the coupled-cluster single-double (CCSD) method is developed for atoms with a single valence electron. In earlier work, a linearized version of the CCSD method (with extensions to include a dominant class of triple…

Atomic Physics · Physics 2009-11-13 Rupsi Pal , M. S. Safronova , W. R. Johnson , Andrei Derevianko , Sergey G. Porsev

We present an all-electron, four-component relativistic implementation of electric field gradients (EFGs) at the nuclei using Gaussian-type orbitals and periodic boundary conditions. This allows us to include relativistic effects…

Other Condensed Matter · Physics 2024-05-17 Marc Joosten , Michal Repisky , Marius Kadek , Pekka Pyykkö , Kenneth Ruud

Recent improvements in experimental techniques for preparing ultracold molecules that contain alkali atoms (e.g., Li, Na, and K) have been reported. Based on these advances in ultracold molecules, new searches for the electric dipole moment…

Atomic Physics · Physics 2020-01-08 A. Sunaga , M. Abe , V. S. Prasannaa , T. Aoki , M. Hada

The magnetic dipole and electric quadrupole hyperfine constants of Aluminium ($^{27}Al$) atom are computed using the relativistic coupled cluster (CC) and unitary coupled cluster (UCC) methods. Effects of electron correlations are…

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

Coupled-cluster theory with single, double, and perturbative triple excitations (CCSD(T)) -- often considered the "gold standard" of main-group quantum chemistry -- is inapplicable to three-dimensional metals due to an infrared divergence,…

Materials Science · Physics 2023-03-21 Verena A. Neufeld , Timothy C. Berkelbach

Recent relativistic coupled-cluster (RCC) calculations of electric dipole moments (EDMs) of diamagnetic atoms due to parity and time-reversal violating (P,T-odd) interactions, that are essential ingredients for probing new physics beyond…

Atomic Physics · Physics 2018-05-23 B. K. Sahoo , B. P. Das

The nuclear electric quadrupole moment (NQM) of $^{87}$Sr has recently been revisited using high-precision relativistic atomic calculations [B. Lu et al., Phys. Rev. A 100, 012504 (2019)], indicating that the currently accepted value should…

Chemical Physics · Physics 2026-02-03 Gabriele Fabbro , Jan Brandejs , Trond Saue

Large scale ab initio calculations of the electric contribution (i.e. the electric field gradient) to the electric quadrupole hyperfine interaction constants $B$ for the $5p~^2P_{3/2}$ state in $^{109}$Cd$^+$ ion and the $5s5p~^3P_{1,2}$…

Atomic Physics · Physics 2022-10-05 Benquan Lu , Xiaotong Lu , Tao Wang , Hong Chang

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

A computer program is presented by which one may calculate the multiple electric dipole, electric quadrupole and magnetic dipole Coulomb excitation with relativistic heavy ions. The program applies to an arbitrary nucleus, specified by the…

Nuclear Experiment · Physics 2009-10-31 C. A. Bertulani

We develop an analytic-gradient based method for relativistic coupled-cluster calculations of effective electric field, $\mathcal{E}_{\text{eff}}$, with improved efficiency and robustness over the previous state of the art. The enhanced…

Atomic Physics · Physics 2021-08-04 Chaoqun Zhang , Xuechen Zheng , Lan Cheng

This paper introduces a new approach for the computation of electromagnetic field derivatives, up to any order, with respect to the material and geometric parameters of a given geometry, in a single Finite-Difference Time-Domain (FDTD)…

Numerical Analysis · Mathematics 2024-12-20 Kae-An Liu , Hans-Dieter Lang , Costas D. Sarris

A novel approach to rapidly converging high-level coupled-cluster (CC) energetics in an automated fashion is proposed. The key idea is an adaptive selection of the excitation manifolds defining higher-than-two-body components of the cluster…

Chemical Physics · Physics 2023-08-25 Karthik Gururangan , Piotr Piecuch

We report a new technique to determine the van der Waals coeffcients of lithium (Li) atoms based on the relativistic coupled-cluster theory. These quantities are determined using the imaginary parts of the scalar dipole and quadrupole…

Atomic Physics · Physics 2009-11-13 L. W. Wansbeek , B. K. Sahoo , R. G. E. Timmermans , B. P. Das , D. Mukherjee

We report the value of the electric quadrupole moment of $^{209}$Bi extracted from the atomic data. For this, we performed electronic structure calculations for the ground $^4S^o_{3/2}$ and excited $^2P^o_{3/2}$ states of atomic Bi using…

Atomic Physics · Physics 2021-09-22 L. V. Skripnikov , A. V. Oleynichenko , A. V. Zaitsevskii , D. E. Maison , A. E. Barzakh

The relativistic coupled-cluster (RCC) theory has been applied recently to a number of heavy molecules to determine their properties very accurately. Since it demands large computational resources, the method is often approximated to…

Atomic Physics · Physics 2020-05-12 V. S. Prasannaa , B. K. Sahoo , M. Abe , B. P. Das

There have been several reported values for the nuclear quadrupole moment of $^{43}$Ca, but significant discrepancies exist among these reported values, ranging from \(-0.0408(8)\)~b to \(-0.065(20)\)~b. In this work, we performed an…

Atomic Physics · Physics 2025-08-22 Yong-Bo Tang

The values of nuclear electric quadrupole moment are different by about 7% for 87Sr nucleus between the recommended value [N. J. Stone, At. Data Nucl. Data Tables 111-112, 1 (2016); P. Pyykko, Mol. Phys. 116, 1328 (2018)] and earlier…

Atomic Physics · Physics 2019-07-17 Benquan Lu , Tingxian Zhang , Hong Chang , Jiguang Li , Yong Wu , Jianguo Wang
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