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Understanding the volume dependence of the triton binding energy is an important step towards lattice simulations of light nuclei. We calculate the triton binding energy in a finite cubic box with periodic boundary conditions to leading…

High Energy Physics - Lattice · Physics 2011-04-14 Simon Kreuzer , H. -W. Hammer

We compute three-body nuclear forces at short distances by using the nuclear matrix model of holographic QCD proposed in our previous paper with P. Yi. We find that the three-body forces at short distances are repulsive for (a) aligned…

High Energy Physics - Theory · Physics 2011-01-05 Koji Hashimoto , Norihiro Iizuka

We present microscopic valence-shell calculations of pairing gaps in the calcium isotopes, focusing on the role of three-nucleon (3N) forces and many-body processes. In most cases, we find a reduction in pairing strength when the leading…

Nuclear Theory · Physics 2013-07-23 J. D. Holt , J. Menendez , A. Schwenk

A simple analytic expression of the three-body wave function describing the system $(\alpha\alpha n)$ in the ground state $\frac{3}{2}^-$ of ${}^9\mathrm{Be}$ is obtained. In doing this, it is assumed that the $\alpha$ particles interact…

Nuclear Theory · Physics 2024-08-06 S. A. Rakityansky

We study the scattering of a particle from a bound pair in an effective field theory using a distorted-wave renormalisation group method to find the power-counting for the three-body force terms. We find that three-body terms appear at…

Nuclear Theory · Physics 2007-05-23 T. Barford , M. C. Birse

We consider the correlation between the binding energies of the triton and the alpha-particle which is empirically observed in calculations employing different phenomenological nucleon-nucleon interactions. Using an effective quantum…

Nuclear Theory · Physics 2010-04-05 L. Platter , H. -W. Hammer , U. -G. Meißner

The equation of state of symmetric nuclear matter has been investigated within Brueckner approach adopting the charge-dependent Argonne $V_{18}$ two-body force plus a microscopic three-body force based on a meson-exchange model. The effects…

Nuclear Theory · Physics 2009-11-07 W. Zuo , A. Lejeune , U. Lombardo , J. F. Mathiot

Background: The relativistic three-body problem has a long tradition in few-nucleon physics. Calculations of the triton binding energy based on the solution of the relativistic Faddeev equation in general lead to a weaker binding than the…

Nuclear Theory · Physics 2014-11-17 M. R. Hadizadeh , Ch. Elster , W. N. Polyzou

We consider subleading contributions to the three-nucleon force from tree-level diagrams involving a single-pion exchange and a contact interaction between two nucleons, which appear at fifth order in the chiral expansion. We show that the…

Nuclear Theory · Physics 2026-02-16 Henri Paul Huesmann , Hermann Krebs , Evgeny Epelbaum

After a brief review of the role three-nucleon forces play in the few-nucleon systems, the chiral-perturbation-theory approach to these forces is discussed. Construction of the (nominal) leading- and subleading-order Born terms and…

Nuclear Theory · Physics 2008-11-26 J. L. Friar , D. Hüber , U. van Kolck

Three-nucleon force and continuum play important roles in reproducing the properties of atomic nuclei around driplines. Therefore it is valuable to build up a theoretical framework where both effects can be taken into account to solve the…

Nuclear Theory · Physics 2020-08-04 Y. Z. Ma , F. R. Xu , L. Coraggio , B. S. Hu , J. G. Li , T. Fukui , L. De Angelis , N. Itaco , A. Gargano

A detailed comparison of Faddeev and variational wave functions for $^3$H, calculated with realistic nuclear forces, has been made to study the form of three-body correlations in few-body nuclei. Three new three-body correlations for use in…

Nuclear Theory · Physics 2008-11-26 A. Arriaga , V. R. Pandharipande , R. B. Wiringa

We present a novel framework to decompose three-nucleon forces in a momentum space partial-wave basis. The new approach is computationally much more efficient than previous methods and opens the way to ab initio studies of few-nucleon…

Nuclear Theory · Physics 2015-04-17 K. Hebeler , H. Krebs , E. Epelbaum , J. Golak , R. Skibinski

The Faddeev-Yakubovsky equations for the alpha-particle are solved. Accurate results are obtained for several modern NN interaction models, which include charge-symmetry breaking effects in the NN force, nucleon mass dependences as well as…

Nuclear Theory · Physics 2008-11-26 A. Nogga , H. Kamada , W. Gloeckle , B. R. Barrett

In this paper we give explicit formulae in momentum and coordinate space for the three-nucleon potentials due to $\rho$ and $\pi$ meson exchange, derived from off-mass-shell meson-nucleon scattering amplitudes which are constrained by the…

Nuclear Theory · Physics 2008-11-26 S. A. Coon , M. T. Pena

We employ interactions from chiral effective field theory and compute binding energies, excited states, and radii for isotopes of oxygen with the coupled-cluster method. Our calculation includes the effects of three-nucleon forces and of…

Nuclear Theory · Physics 2012-06-18 G. Hagen , M. Hjorth-Jensen , G. R. Jansen , R. Machleidt , T. Papenbrock

Using modern nucleon-nucleon interactions in the description of the $A=3,4$ nuclei, it is not possible to reproduce both the three- and four-nucleon binding energies simultaneously. This is one manifestation of the necessity of including a…

Nuclear Theory · Physics 2015-05-18 A. Kievsky , M. Viviani , L. Girlanda , L. E. Marcucci

Forces in the systems of two opposite sign and three identical charges coupled to the dynamical scalar field of the signum-Gordon model are investigated. Three-body force is present, and the exact formula for it is found. Flipping the sign…

High Energy Physics - Theory · Physics 2015-06-17 H. Arodz , J. Karkowski , Z. Swierczynski

In the last years auxiliary field diffusion Monte Carlo has been used to assess the properties of hypernuclear systems, from light- to medium-heavy hypernuclei and hyper-neutron matter. One of the main findings is the key role played by the…

A new, more efficient approach to include a three nucleon force into three-nucleon continuum calculations is presented. Results obtained in the new and our old approach are compared both for elastic nucleon-deuteron scattering as well as…

Nuclear Theory · Physics 2007-05-23 D. Hüber , H. Kamada , H. Witała , W. Glöckle
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