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Progress in the Effective Field Theory of two and three nucleon systems is sketched, concentrating on the low energy version in which pions are integrated out as explicit degrees of freedom. Examples given are calculations of deuteron…

Nuclear Theory · Physics 2009-11-06 Harald W. Griesshammer

We apply improved nucleon-nucleon potentials up to fifth order in chiral effective field theory, along with a new analysis of the theoretical truncation errors, to study nucleon-deuteron (Nd) scattering and selected low-energy observables…

Two-nucleon momentum distributions are calculated for the ground states of nuclei with mass number $A\leq 8$, using variational Monte Carlo wave functions derived from a realistic Hamiltonian with two- and three-nucleon potentials. The…

Nuclear Theory · Physics 2008-11-26 R. Schiavilla , R. B. Wiringa , Steven C. Pieper , J. Carlson

We extend and systematise the power counting for the three-body system, in the context of the ``pion-less'' Effective Field Theory approach, to all orders in the low-energy expansion. We show that a sub-leading part of the three-body force…

Nuclear Theory · Physics 2009-11-07 Paulo F. Bedaque , Harald W. Griesshammer , H. -W. Hammer , Gautam Rupak

There is an increasing interest in quantifying the predictive power in nuclear structure calculations. We discuss how both experimental and systematic errors at the NN-level can be used to estimate the theoretical uncertainties by rather…

Nuclear Theory · Physics 2012-06-18 R. Navarro Perez , J. E. Amaro , E. Ruiz Arriola

We present the first study of pairing in nuclei including three-nucleon forces. We perform systematic calculations of the odd-even mass staggering generated using a microscopic pairing interaction at first order in chiral low-momentum…

Nuclear Theory · Physics 2015-03-19 Thomas Lesinski , Kai Hebeler , Thomas Duguet , Achim Schwenk

The ab initio no-core shell model (NCSM) is extended to include a realistic three-body interaction in calculations for p-shell nuclei. The NCSM formalism is reviewed and new features needed in calculations with three-body forces are…

Nuclear Theory · Physics 2009-11-10 P. Navratil , W. E. Ormand

The three body (triple dipole) interaction of Axilrod, Teller and Muto (ATM) contributes 5 to 10 % of the total energy of condensed phases of inert elements. It is shown in this paper for clusters and films that a much larger or smaller ATM…

Soft Condensed Matter · Physics 2009-11-10 Silvina M. Gatica , M. Mercedes Calbi , Milton W. Cole , Darrell Velegol

It has been shown for the first time that $NN$ interaction, at least in some partial waves, can be quantitatively described by the superposition of a long-range one-pion exchange and a short-range mechanism based on the complex pole in the…

Nuclear Theory · Physics 2020-03-18 V. I. Kukulin , V. N. Pomerantsev , O. A. Rubtsova , M. N. Platonova

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

The broad range of accumulated experimental data on the binding energies for single-particle states in nuclei is examined as a function of the constituent number of neutrons and protons and an unexpectedly simple pattern emerges. The…

Nuclear Theory · Physics 2021-12-14 J. P. Schiffer , B. P. Kay , J. chen

We analyse the impact of the statistical uncertainties of the the nucleon-nucleon interaction, based on the Granada-2013 np-pp database, on the binding energies of the triton and the alpha particle using a bootstrap method, by solving the…

Nuclear Theory · Physics 2016-11-03 R. Navarro Perez , A. Nogga , J. E. Amaro , E. Ruiz Arriola

Within the self-consistent Green's functions formalism, we study the effects of three-body forces on the in-medium spectral function, self-energy and effective mass of the nuclear matter constituents, analyzing the density and momentum…

Nuclear Theory · Physics 2015-05-13 V. Soma , P. Bozek

We assume a triple geometric structure for the electromagnetic nuclear interaction. This nuclear electromagnetism is used to calculate the binding energies of the deuteron and the neutron. The corresponding Pauli quantum wave equation in a…

General Physics · Physics 2008-03-06 Gustavo R. Gonzalez-Martin

The influence of three-particle breakup singularities on s-wave meson production in nucleon-nucleon collisions is studied within the distorted wave Born approximation. This study is based on a simple scalar model for the two-nucleon…

Nuclear Theory · Physics 2009-11-07 A. Motzke , Ch. Elster , C. Hanhart

Neutron-deuteron elastic scattering cross sections are calculated at different energies using modern nucleon-nucleon interactions and the Tucson-Melbourne three-nucleon force adjusted to the triton binding energy. Predictions based on NN…

Nuclear Theory · Physics 2009-10-31 H. Witala , W. Gloeckle , D. Hueber , J. Golak , H. Kamada

In relativistic frameworks, given by the Bethe-Salpeter and light-front bound state equations, the binding energies of system of three scalar particles interacting by scalar exchange particles are calculated. In contrast to two-body…

High Energy Physics - Phenomenology · Physics 2009-02-19 V. A. Karmanov , P. Maris

The interaction of an electron with a local static charge distribution (e.g., an atom or molecule) is dominated at large distances by the radial 1/r Coulomb potential. The second order effect comes from the non-central electric dipole…

Quantum Physics · Physics 2023-02-08 A. D. Alhaidari , H. Bahlouli

We calculate the energy per particle in infinite neutron matter perturbatively using chiral N3LO two-body potentials plus N2LO three-body forces. The cutoff dependence of the predictions is investigated by employing chiral interactions with…

Nuclear Theory · Physics 2015-06-11 L. Coraggio , J. W. Holt , N. Itaco , R. Machleidt , F. Sammarruca

Potential-NRQCD offers an effective-theory based approach to heavy-quark physics. While meson Q-anti_Q computations are tractable in pure alpha_s-perturbation theory, more complex many-body quark systems transcend it. A possibility…

Nuclear Theory · Physics 2013-04-15 Felipe J. Llanes-Estrada , Olga I. Pavlova , Richard Williams
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