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Treating electron correlation more accurately and efficiently is at the heart of the development of electronic structure methods. In the present work, we explore the use of stochastic approaches to evaluate high-order electron correlation…

Chemical Physics · Physics 2020-01-29 Zhendong Li

The neon isotopic chain displays a rich phenomenology, ranging from clustering in the ground-state of the self-conjugate doubly open-shell stable $^{20}$Ne isotope to the physics of the island of inversion around the neutron-rich $^{30}$Ne…

The similarity renormalization group (SRG) has been successfully applied to soften interactions for ab initio nuclear calculations. In almost all practical applications in nuclear physics, an SRG generator with the kinetic energy operator…

Nuclear Theory · Physics 2014-09-10 Nuiok M. Dicaire , Conor Omand , Petr Navratil

We apply high-order many-body perturbation theory for the calculation of ground-state energies of closed-shell nuclei using realistic nuclear interactions. Using a simple recursive formulation, we compute the perturbative energy…

Nuclear Theory · Physics 2010-02-03 Robert Roth , Joachim Langhammer

Short-range correlations (SRCs) provide the link between low- and high-energy nuclear physics and can be quantified by two-nucleon densities. We present calculations of the two-nucleon densities using free-space similarity renormalization…

Nuclear Theory · Physics 2026-02-06 H. Y. Shang , R. Z. Hu , X. Y. Xu , Z. C. Xu , J. C. Pei , S. M. Wang

We discuss renormalization of the non-relativistic three-body problem with short-range forces. The problem becomes non-perturbative at momenta of the order of the inverse of the two-body scattering length, and an infinite number of graphs…

Nuclear Theory · Physics 2009-10-31 P. F. Bedaque , H. -W. Hammer , U. van Kolck

The atomic third-order open-shell many-body perturbation theory is developed. Special attention is paid to the generation and algebraic analysis of terms of the wave operator and the effective Hamiltonian as well. Making use of…

Atomic Physics · Physics 2015-05-19 R. Jursenas , G. Merkelis

A third-order multireference perturbation theory based on the driven similarity renormalization group approach (DSRG-MRPT3) is presented. The DSRG-MRPT3 method has several appealing features: a) it is intruder free, b) it is size…

Chemical Physics · Physics 2017-04-26 Chenyang Li , Francesco A. Evangelista

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…

The possibility to use perturbation theory to systematically improve calculations on circular quantum dots is investigated. A few different starting points, including Hartree-Fock, are tested and the importance of correla- tion is…

Mesoscale and Nanoscale Physics · Physics 2010-04-26 Erik Waltersson , Eva Lindroth

Recent advances in nuclear structure theory have significantly enlarged the accessible part of the nuclear landscape via ab initio many-body calculations. These developments open new ways for microscopic studies of light, medium-mass and…

Nuclear Theory · Physics 2021-01-07 Kai Hebeler

We introduce a fully antisymmetrized treatment of three-cluster dynamics within the ab initio framework of the no-core shell model/resonating-group method (NCSM/RGM). Energy-independent non-local interactions among the three nuclear…

Nuclear Theory · Physics 2013-10-23 S. Quaglioni , C. Romero-Redondo , P. Navrátil

In spite of missing dynamical correlations, the projected generator coordinate method (PGCM) was recently shown to be a suitable method to tackle the low-lying spectroscopy of complex nuclei. Still, describing absolute binding energies and…

\noindent{\bf Background:} Deuteron-induced nuclear reactions are an essential tool for probing the structure of nuclei as well as astrophysical information such as $(n,\gamma)$ cross sections. The deuteron-nucleus system is typically…

Nuclear Theory · Physics 2023-02-01 Linda Hlophe , Konstantinos Kravvaris , Sofia Quaglioni

Unitary transformations of a Hamiltonian generally induce interaction terms beyond the particle rank present in the untransformed Hamiltonian that have to be captured and included in a many-body calculation. In systems with strangeness such…

Nuclear Theory · Physics 2019-10-25 Roland Wirth , Robert Roth

We extend the ab initio no-core shell model/resonating-group method to include three-nucleon (3N) interactions for the description of nucleon-nucleus collisions. We outline the formalism, give algebraic expressions for the 3N-force…

We compute from chiral two- and three-nucleon interactions the energy per particle of symmetric nuclear matter and pure neutron matter at third-order in perturbation theory including self-consistent second-order single-particle energies.…

Nuclear Theory · Physics 2017-04-05 J. W. Holt , N. Kaiser

We employ correlated realistic nucleon-nucleon interactions for the description of nuclear ground states throughout the nuclear chart within the Hartree-Fock approximation. The crucial short-range central and tensor correlations, which are…

Nuclear Theory · Physics 2007-05-23 R. Roth , P. Papakonstantinou , N. Paar , H. Hergert , T. Neff , H. Feldmeier

The three-nucleon bound and scattering equations are solved in momentum space for a coupled-channel Hamiltonian. The Hamiltonian couples the purely nucleonic sector of Hilbert space with a sector in which one nucleon is excited to a…

Nuclear Theory · Physics 2022-09-13 A. Deltuva , P. U. Sauer

The non-symmetrized hyperspherical harmonics method for a three-body system, composed by two particles having equal masses, but different from the mass of the third particle, is reviewed and applied to the $^3$H, $^3$He nuclei and…

Nuclear Theory · Physics 2018-10-22 A. Nannini , L. E. Marcucci