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Realistic nuclear potentials, derived within chiral perturbation theory, are a major breakthrough in modern nuclear structure theory, since they provide a direct link between nuclear physics and its underlying theory, namely the QCD. As a…

Nuclear Theory · Physics 2016-05-18 L. Coraggio , A. Gargano , J. W. Holt , N. Itaco , R. Machleidt , L. E. Marcucci , F. Sammarruca

Three-nucleon forces are an essential ingredient for an accurate description of nuclear few- and many-body systems. However, implementing them directly in many-body calculations is technically very challenging. Thus, there is a need for an…

Nuclear Theory · Physics 2021-01-07 Lukas Treuer

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

The results on the the vector $A_y$, $A_{yy}$ and $A_{xx}$ analyzing powers in deuteron-proton elastic scattering at large scattering angles are presented. These data were obtained at internal target at JINR Nuclotron in the energy range…

The effect of the non-perturbative term is investigated for the pion-nucleon scattering. Including the self-energy of nucleon the cross section of the elastic scattering results in a constant value at the laboratory momentum $p_L \to…

Nuclear Theory · Physics 2020-04-08 Susumu Kinpara

We derive from the subleading contributions to the chiral three-nucleon force (short-range terms and relativistic corrections, published in Phys. Rev. C84, 054001 (2011)) a density-dependent two-nucleon interaction $V_\text{med}$ in…

Nuclear Theory · Physics 2018-12-05 N. Kaiser , V. Niessner

We employ two models of the nucleon-nucleon force: the OPE-Gaussian as well as the chiral N4LO and N4LO+ interactions with semilocal regularization in momentum space to study correlations among two-nucleon and three-nucleon elastic…

Nuclear Theory · Physics 2022-09-21 Yu. Volkotrub , R. Skibiński , J. Golak , H. Witała

We provide an introduction to the power-counting issue in baryon chiral perturbation theory and discuss some recent developments in the manifestly Lorentz-invariant formulation of the one-nucleon sector. As explicit applications we consider…

High Energy Physics - Phenomenology · Physics 2014-11-20 Stefan Scherer

The effect of the inclusion of different models of three nucleon (3N) forces in p-3He elastic scattering at low energies is studied. Two models have been considered: one derived from effective field theory at next-to-next-to-leading order…

Nuclear Theory · Physics 2015-06-11 M. Viviani , L. Girlanda , A. Kievsky , L. E. Marcucci

We have analyzed pion-nucleon scattering using the manifestly relativistic covariant framework of Infrared Regularization up to {\cal O}(q^3) in the chiral expansion, where q is a generic small momentum. We describe the low-energy phase…

Nuclear Theory · Physics 2011-06-06 J. M. Alarcon , J. Martin Camalich , J. A. Oller , L. Alvarez-Ruso

We study the third order pion-nucleon scattering amplitude obtained from heavy baryon chiral perturbation theory inside the Mandelstam triangle. We reconstruct the pion-nucleon amplitude in the unphysical region by use of dispersion…

High Energy Physics - Phenomenology · Physics 2009-10-31 Paul Büttiker , Ulf-G. Meißner

Present day chiral nucleon-nucleon potentials up to N3LO and three nucleon forces at N2LO are used to analyze nucleon-deuteron radiative capture at deuteron lab energies below E_d= 100 MeV. The differential cross section and the deuteron…

Nuclear Theory · Physics 2007-05-23 R. Skibinski , J. Golak , H. Witala , W. Gloeckle , A. Nogga , E. Epelbaum

In the modern description of nuclear forces based on chiral effective field theory, four-nucleon operators with unknown coupling constants appear. These couplings can be fixed by a fit to the low partial waves of neutron-proton scattering.…

Nuclear Theory · Physics 2011-07-19 Evgeny Epelbaum , Ulf-G. Meißner , Walter Glöckle , Charlotte Elster

We calculate the $T$-matrices of elastic pion-nucleon ($\pi N$) scattering up to fourth order in SU(3) heavy baryon chiral perturbation theory. The pertinent low-energy constants are determined by fitting to $\pi N$ phase shifts below 200…

Nuclear Theory · Physics 2020-12-03 Bo-Lin Huang

We introduce new values of the strength constants (i.e., $a$, $b$, $c$, and $d$ coefficients) of the Tucson-Melbourne (TM) 2$\pi$ exchange three nucleon potential. The new values come from contemporary dispersion relation analyses of meson…

Nuclear Theory · Physics 2008-11-26 S. A. Coon , H. K. Han

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

Propagation of uncertainties from two-nucleon potential parameters to three-nucleon observables, that is statistical errors for the neutron-deuteron elastic scattering and the deuteron breakup reaction at neutron laboratory energies up to…

Nuclear Theory · Physics 2020-03-16 Yu. Volkotrub , J. Golak , R. Skibiński , K. Topolnicki , H. Witała , E. Epelbaum , H. Krebs , P. Reinert

We match the results for the subthreshold parameters of pion-nucleon scattering obtained from a solution of Roy-Steiner equations to chiral perturbation theory up to next-to-next-to-next-to-leading order, to extract the pertinent low-energy…

Nuclear Theory · Physics 2015-11-09 Martin Hoferichter , Jacobo Ruiz de Elvira , Bastian Kubis , Ulf-G. Meißner

Temperature effects on the neutron matter equation of state are investigated in the framework of chiral effective field theory. Latest, state-of-the-art chiral two-nucleon forces are applied from third to fifth order in the chiral expansion…

Nuclear Theory · Physics 2020-07-15 F. Sammarruca , R. Machleidt , R. Millerson

We introduce new semilocal two-nucleon potentials up to fifth order in the chiral expansion. We employ a simple regularization approach for the pion-exchange contributions which (i) maintains the long-range part of the interaction, (ii) is…

Nuclear Theory · Physics 2018-07-04 P. Reinert , H. Krebs , E. Epelbaum