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We have developed a relativistic coupled-cluster theory to incorporate nuclear spin-dependent interaction Hamiltonians perturbatively. In this theory, the coupled-cluster operators in the electronic sector are defined as tensor operators of…

Atomic Physics · Physics 2011-05-19 B. K. Mani , D. Angom

In this contribution, we discuss recent results on the determination of the electric dipole polarizability $\alpha_D$ for the neutron-rich isotope $^{22}$O within the ab initio framework. Our calculations utilize the Lorentz integral…

Nuclear Theory · Physics 2026-02-06 Francesco Marino , Miriam El Batchy , Sonia Bacca

We sample the posterior probability distributions of the low-energy constants (LECs) in $\Delta$-full chiral effective field theory ($\chi$EFT) up to third order. We use eigenvector continuation for fast and accurate emulation of the…

Nuclear Theory · Physics 2024-07-29 Isak Svensson , Andreas Ekström , Christian Forssén

During the past two decades, chiral effective field theory has become a popular tool to derive nuclear forces from first principles. Two-nucleon interactions have been worked out up to sixth order of chiral perturbation theory and…

Nuclear Theory · Physics 2016-08-31 R. Machleidt , F. Sammarruca

A new method for studying the many-body response functions is elaborated and first applied to the $^3$He longitudinal response. An integral transform of the response function is calculated from the bound-state-type equations for several…

Nuclear Theory · Physics 2007-05-23 V. Yu. Dobretsov , V. D. Efros , Bin Shao

We have performed a global extraction of the ${\rm ^{12}C}$ longitudinal (${\cal R}_L$) and transverse (${\cal R}_T$) nuclear electromagnetic response functions from an analysis of all available electron scattering data on carbon. The…

Uncertainties in adopted models of particle+nucleus optical-model potentials directly influence the accuracy in the theoretical predictions of reaction rates as they are needed for reaction-network calculations in, for instance,…

We have carried out theoretical investigations of electron correlation effects on the atomic properties of the Ca atom trapped inside an attractive spherically symmetric potential well of an endohedral fullerene C$_{60}$ cluster.…

Atomic Physics · Physics 2018-07-24 S. Bharti , L. Sharma , B. K. Sahoo , P. Malkar , R. Srivastava

Cluster production is investigated in central collisions of Ca+Ca, Ni+Ni, 96Zr+96Zr, 96Ru+96Ru, Xe+CsI and Au+Au reactions at 0.4A GeV incident energy. We find that the multiplicity of clusters with charge Z > 2 grows quadratically with the…

Nuclear Experiment · Physics 2007-05-23 FOPI Collaboration , W. Reisdorf

We calculate the form factors of the electromagnetic nucleon-to-$\Delta$-resonance transition to third chiral order in manifestly Lorentz-invariant chiral effective field theory. For the purpose of generating a systematic power counting,…

Nuclear Theory · Physics 2018-03-14 M. Hilt , T. Bauer , S. Scherer , L. Tiator

Roles of electron correlation effects in the determination of attachment energies, magnetic dipole hyperfine structure constants and electric dipole (E1) matrix elements of the low-lying states in the singly charged cadmium ion (Cd$^+$)…

Atomic Physics · Physics 2018-03-14 Cheng-Bin Li , Yan-Mei Yu , B. K. Sahoo

The coupled-cluster method is applied to the spin-1/2 antiferromagnetic XXZ model on a square lattice by employing an approximation which contains two-body long-range correlations and high-order four-body local correlations. Improvement is…

Strongly Correlated Electrons · Physics 2015-05-28 Mohammad Merdan , Y. Xian

Atomic nuclei can exhibit shape coexistence and multi-reference physics that enters in their ground states, and to accurately capture the ensuing correlations and entanglement is challenging. We address this problem by applying…

Nuclear Theory · Physics 2024-02-16 Z. H. Sun , G. Hagen , T. Papenbrock

Time-dependent response theories are foundational to the development of algorithms that determine quantum properties of electronic excited states of molecules and periodic systems. They are employed in wave-function, density-functional, and…

Chemical Physics · Physics 2022-11-23 Martín A. Mosquera

We derive the leading contribution to the four-nucleon force within the framework of chiral effective field theory. It is governed by the exchange of pions and the lowest-order nucleon-nucleon contact interaction and includes effects due to…

Nuclear Theory · Physics 2009-07-28 E. Epelbaum

In this paper we extend the rank-reduced coupled-cluster formalism to the calculation of non-iterative energy corrections due to quadruple excitations. There are two major components of the proposed formalism. The first is an approximate…

Chemical Physics · Physics 2022-11-11 Michał Lesiuk

Using a covariant formalism, we construct a chiral kinetic theory Lorentz invariant to order $\mathcal O(\hbar)$ which includes collisions. We find a new contribution to the particle number current due to the side jumps required by the…

High Energy Physics - Theory · Physics 2015-07-15 Jing-Yuan Chen , Dam T. Son , Mikhail A. Stephanov

The linear response of the nucleus to an external field contains unique information about the effective interaction, correlations, and properties of its excited states. To characterize the response, it is useful to use its energy-weighted…

Nuclear Theory · Physics 2015-04-28 Nobuo Hinohara , Markus Kortelainen , Witold Nazarewicz , Erik Olsen

Background: 12C has been and is still widely used in neutrino-nucleus scattering and oscillation experiments. More recently, 40Ar has emerged as an important nuclear target for current and future experiments. Liquid argon time projection…

We introduce a tensorial group field theory endowed with weighted interaction terms of the form $p^{2a} \phi^4$. The model can be seen as a field theory over $d=3,4$ copies of $U(1)$ where formal powers of Laplacian operators, namely…

High Energy Physics - Theory · Physics 2015-07-03 Joseph Ben Geloun