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Related papers: Open-Shell Nuclei and Excited States from Multi-Re…

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We study the use of truncated normal-ordered three-nucleon interactions in ab initio nuclear structure calculations starting from chiral two- plus three-nucleon Hamiltonians evolved consistently with the similarity renormalization group…

Nuclear Theory · Physics 2012-09-05 Robert Roth , Sven Binder , Klaus Vobig , Angelo Calci , Joachim Langhammer , Petr Navratil

Reference-state-based many-body methods start from Hamiltonians that are normal ordered with respect to the reference state. In low-energy nuclear physics applications normal-ordered Hamiltonians consisting of two- and three-nucleon forces…

Three-nucleon (3N) interactions are key for an accurate solution of the nuclear many-body problem. However, fully taking into account 3N forces constitutes a computational challenge and hence approximate treatments are commonly employed.…

Nuclear Theory · Physics 2023-02-22 K. Hebeler , V. Durant , J. Hoppe , M. Heinz , A. Schwenk , J. Simonis , A. Tichai

The computational cost of ab initio nuclear structure calculations is rendered particularly acute by the presence of (at least) three-nucleon interactions. This feature becomes especially critical now that many-body methods aim at extending…

We present the first ab initio coupled-cluster calculations of medium-mass nuclei with explicit chiral three-nucleon (3N) interactions. Using a spherical formulation of coupled cluster with singles and doubles excitations including explicit…

Nuclear Theory · Physics 2013-09-05 Sven Binder , Joachim Langhammer , Angelo Calci , Petr Navrátil , Robert Roth

We propose a novel storage scheme for three-nucleon (3N) interaction matrix elements relevant for the normal-ordered two-body approximation used extensively in ab initio calculations of atomic nuclei. This scheme reduces the required memory…

Nuclear Theory · Physics 2022-01-04 T. Miyagi , S. R. Stroberg , P. Navrátil , K. Hebeler , J. D. Holt

We present an approach to derive effective shell-model interactions from microscopic nuclear forces. The similarity-transformed coupled-cluster Hamiltonian decouples the single-reference state of a closed-shell nucleus and provides us with…

Nuclear Theory · Physics 2018-12-05 Z. H. Sun , T. D. Morris , G. Hagen , G. R. Jansen , T. Papenbrock

The reach of ab initio many-body theories is rapidly extending over the nuclear chart. However, dealing fully with three-nucleon, possibly four-nucleon, interactions makes the solving of the A-body Schr\"odinger equation particularly…

Nuclear Theory · Physics 2020-03-18 Julien Ripoche , Alexander Tichai , Thomas Duguet

We present theoretical ground state energies and their uncertainties for p-shell nuclei obtained from chiral effective field theory internucleon interactions as a function of chiral order, fitted to two- and three-body data only. We apply a…

Nuclear Theory · Physics 2023-06-01 P. Maris , H. Le , A. Nogga , R. Roth , J. P. Vary

We present a nucleus-dependent valence-space approach for calculating ground and excited states of nuclei, which generalizes the shell-model in-medium similarity renormalization group to an ensemble reference with fractionally filled…

Nuclear Theory · Physics 2017-01-24 S. R. Stroberg , A. Calci , H. Hergert , J. D. Holt , S. K. Bogner , R. Roth , A. Schwenk

We present a comprehensive investigation of few-nucleon systems as well as light and medium-mass nuclei up to $A=48$ using the current Low Energy Nuclear Physics International Collaboration two-nucleon interactions in combination with the…

We first derive the Rayleigh-Schr\"odinger many-body perturbation theory up to third order (RSPT3) for Hamiltonians with three-body interaction. The structure of closed-shell nuclei in a wide mass range from 4He to 48Ca has been…

Nuclear Theory · Physics 2018-10-23 B. S. Hu , T. Li , F. R. Xu

We formulate the In-Medium Similarity Renormalization Group (IM-SRG) for open-shell nuclei using a multi-reference formalism based on a generalized Wick theorem introduced in quantum chemistry. The resulting multi-reference IM-SRG…

Nuclear Theory · Physics 2013-06-13 H. Hergert , S. Binder , A. Calci , J. Langhammer , R. Roth

We present the first ab initio calculations of nuclear ground states up into the domain of heavy nuclei, spanning the range from 16-O to 132-Sn based on two- plus three-nucleon interactions derived within chiral effective field theory. We…

Nuclear Theory · Physics 2015-06-18 Sven Binder , Joachim Langhammer , Angelo Calci , Robert Roth

In this paper we present an evolution of our derivation of the shell-model effective Hamiltonian, namely introducing effects of three-body contributions. More precisely, we consider a three-body potential at next-to-next-to-leading order in…

Nuclear Theory · Physics 2018-10-10 T. Fukui , L. De Angelis , Y. Z. Ma , L. Coraggio , A. Gargano , N. Itaco , F. R. Xu

We discuss the building blocks for a consistent inclusion of chiral three-nucleon (3N) interactions into ab initio nuclear structure calculations beyond the lower p-shell. We highlight important technical developments, such as the…

Nuclear Theory · Physics 2015-06-17 Robert Roth , Angelo Calci , Joachim Langhammer , Sven Binder

Nuclear structure and reaction theory are undergoing a major renaissance with advances in many-body methods, realistic interactions with greatly improved links to Quantum Chromodynamics, the advent of high performance computing, and…

Nuclear Theory · Physics 2019-10-02 Pieter Maris

The nuclear shell model has been perhaps the most important conceptual and computational paradigm for the understanding of the structure of atomic nuclei. While the shell model has been predominantly used in a phenomenological context,…

Nuclear Theory · Physics 2019-10-25 S. Ragnar Stroberg , Scott K. Bogner , Heiko Hergert , Jason D. Holt

We present a family of nucleon-nucleon (NN) plus three-nucleon (3N) interactions up to N3LO in the chiral expansion that provides an accurate ab initio description of ground-state energies and charge radii up to the medium-mass regime with…

Nuclear Theory · Physics 2020-08-26 Thomas Hüther , Klaus Vobig , Kai Hebeler , Ruprecht Machleidt , Robert Roth

We apply degenerate many-body perturbation theory at high orders for the ab-initio description of ground states and excitation spectra of open-shell nuclei using soft realistic nucleon-nucleon interactions. We derive a recursive formulation…

Nuclear Theory · Physics 2012-11-30 Joachim Langhammer , Robert Roth , Christina Stumpf
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