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The fundamental description of both structural properties and reactions of light nuclei in terms of constituent protons and neutrons interacting through nucleon-nucleon and three-nucleon forces is a long-sought goal of nuclear theory. I…

We construct nucleonic microscopic optical potentials by combining the Green's function approach with the coupled-cluster method for $\rm{^{40}Ca}$ and $\rm{^{48}Ca}$. For the computation of the ground-state of $\rm{^{40}Ca}$ and…

Nuclear Theory · Physics 2018-10-30 J. Rotureau , P. Danielewicz , G. Hagen , G. R. Jansen , F. M. Nunes

We present calculations of ground state properties of spherical, doubly closed-shell nuclei from $^{16}$O to $^{208}$Pb employing the techniques of many-body perturbation theory using a separable density dependent monopole interaction. The…

Nuclear Theory · Physics 2009-11-06 P. Stevenson , M. R. Strayer , J. Rikovska Stone

In recent years many-body perturbation theory encountered a renaissance in the field of ab initio nuclear structure theory. In various applications it was shown that perturbation theory, including novel flavors of it, constitutes a useful…

Nuclear Theory · Physics 2020-01-29 Alexander Tichai , Robert Roth , Thomas Duguet

We describe a new method to treat low-energy scattering problems in few-nucleon systems, and we apply it to the five-body case of neutron-alpha scattering. The method allows precise calculations of low-lying resonances and their widths. We…

Nuclear Theory · Physics 2008-11-26 Kenneth M. Nollett , Steven C. Pieper , R. B. Wiringa , J. Carlson , G. M. Hale

We have recently extended many-body perturbation theory and coupled-cluster theory performed on top of a Slater determinant breaking rotational symmetry to allow for the restoration of the angular momentum at any truncation order [T.…

Nuclear Theory · Physics 2015-12-10 T. Duguet , A. Signoracci

This presentation reports on recent developments concerning basic aspects of low-energy QCD as they relate to the understanding of the nucleon mass and the nuclear many-body problem.

Nuclear Theory · Physics 2009-11-10 Wolfram Weise

A major goal of nuclear theory is to explain the spectra and stability of nuclei in terms of effective many-body interactions amongst the nucleus' constituents-the nucleons, i.e., protons and neutrons. Such an approach, referred to below as…

The coupled cluster method (CCM) is a method of quantum many-body theory that may provide accurate results for the ground-state properties of lattice quantum spin systems even in the presence of strong frustration and for lattices of…

Strongly Correlated Electrons · Physics 2009-11-11 D. J. J. Farnell , J. Schulenburg , J. Richter , K. A. Gernoth

We present an efficient Monte Carlo framework for perturbative calculations of infinite nuclear matter based on chiral two-, three-, and four-nucleon interactions. The method enables the incorporation of all many-body contributions in a…

Nuclear Theory · Physics 2019-02-06 C. Drischler , K. Hebeler , A. Schwenk

We employ the chiral nucleon-nucleon potential derived in ref.[1] to study bound and scattering states in the two-nucleon system. At next-to-leading order, this potential is the sum of renormalized one-pion and two-pion exchange and contact…

Nuclear Theory · Physics 2011-05-05 E. Epelbaum , W. Glöckle , Ulf-G. Meißner

Recently the nucleon-nucleon interaction derived using time-ordered perturbation theory in manifestly Lorentz-invariant chiral effective field theory was shown to yield promising results for peripheral neutron-proton scattering. In this…

Nuclear Theory · Physics 2026-05-13 Xiu-Lei Ren , E. Epelbaum , J. Gegelia

We study nucleon-nucleon ($NN$) scattering by applying the $N/D$ method in chiral perturbation theory up to next-to-next-to-leading (NNLO) order in the calculation of the imaginary part of the $NN$ partial-wave amplitudes along the…

Nuclear Theory · Physics 2014-02-13 J. A. Oller

We develop an approach of calculating the many-body path integral based on the linked cluster expansion method. First, we derive a linked cluster expansion and we give the diagrammatic rules for calculating the free-energy and the pair…

Statistical Mechanics · Physics 2019-12-04 Anish Bhardwaj , Efstratios Manousakis

We present calculations of the $^{40}$Ca transverse response function obtained from coupled-cluster theory used in conjunction with the Lorentz integral transform method. We employ nuclear forces derived at next-to-next-to leading order in…

Nuclear Theory · Physics 2024-04-30 Joanna Sobczyk , Bijaya Acharya , Sonia Bacca , Gaute Hagen

We present a variational Monte Carlo method that solves the nuclear many-body problem in the occupation number formalism exploiting an artificial neural network representation of the ground-state wave function. A memory-efficient version of…

We construct a relativistic chiral nucleon-nucleon interaction up to the next-to-next-to-leading order in covariant baryon chiral perturbation theory. We show that a good description of the $np$ phase shifts up to $T_\mathrm{lab}=200$ MeV…

Nuclear Theory · Physics 2022-04-25 Jun-Xu Lu , Chun-Xuan Wang , Yang Xiao , Li-Sheng Geng , Jie Meng , Peter Ring

We present a theoretical framework allowing to make an explicit connection between the phenomenology of QCD, namely the properties of the gluon correlator and Wilson loops, and a particular relativistic model for the description of nuclear…

Nuclear Theory · Physics 2025-03-21 Guy Chanfray , Magda Ericson , Hubert Hansen , Jérôme Margueron , Marco Martini

Effective field theory is considered to provide a highly useful framework for connecting nuclear physics with the symmetries and dynamics of the underlying theory of strong interactions, QCD. Of many issues that are of great current…

Nuclear Theory · Physics 2009-10-31 Kuniharu Kubodera

Coupled cluster theory is an attractive tool to solve the quantum many-body problem because its singles and doubles (CCSD) approximation is computationally affordable and yields about 90% of the correlation energy. Capturing the remaining…

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