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Related papers: Short-range three-nucleon forces and low-energy co…

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The Faddeev equations are solved in momentum space for the trinucleon bound state with the new Tucson-Melbourne $\pi$ and $\rho$ exchange three-nucleon potentials. The three-nucleon potentials are combined with a variety of realistic…

Nuclear Theory · Physics 2008-11-26 A. Stadler , J. Adam , H. Henning , P. U. Sauer

We present high precision benchmark calculations for the triton binding energy using the most recent, phase equivalent realistic nucleon-nucleon (NN) potentials and the Tuscon-Melbourne pi-pi three-nucleon force (3NF). That 3NF is included…

Nuclear Theory · Physics 2009-10-30 A. Nogga , D. Hueber , H. Kamada , W. Gloeckle

The long-range terms of the subleading chiral three-nucleon force [published in Phys.\,Rev.\,C77, 064004 (2008)] are specified to the case of three neutrons. From these $3n$-interactions an effective density-dependent neutron-neutron…

Nuclear Theory · Physics 2020-12-21 N. Kaiser

By calculating the contribution of the $\pi-\pi$ three-body force to the three-nucleon binding energy in terms of the $\pi N$ amplitude using perturbation theory, we are able to determine the contribution of the different $\pi N$ partial…

Nuclear Theory · Physics 2008-11-26 T-Y. Saito , I. R. Afnan

We study relationship between the physical quantities that characterize pion-nucleon and nucleon-nucleon interaction on the basis of the fact that nuclear forces in the nucleon-nucleon system at low energies are mainly determined by the…

Nuclear Theory · Physics 2016-04-12 V. A. Babenko , N. M. Petrov

Nucleon-nucleon (NN) forces from chiral perturbation theory at next-to-leading (NLO) and next-to-next-to-leading order (NNLO) are applied to systems with two, three and four nucleons. At NNLO, we consider two versions of the chiral…

Nuclear Theory · Physics 2007-05-23 E. Epelbaum , A. Nogga , W. Gloeckle , H. Kamada , U. -G. Meissner , H. Witala

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

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

We report 3H binding energy calculations using inversion potentials generated from phase shifts corresponding to contemporary nucleon-nucleon potentials as well as modern phase shift analyses. We place limits upon local potential triton…

Nuclear Theory · Physics 2008-11-26 B. F. Gibson , H. Kohlhoff , H. V. von Geramb , G. L. Payne

By calculating the contribution of the $\pi-\pi$ three-body force to the three-nucleon binding energy in terms of the $\pi N$ amplitude using perturbation theory, we are able to determine the importance of the energy dependence and the…

Nuclear Theory · Physics 2009-10-28 T-Y Saito , I. R. Afnan

Recently developed chiral nucleon-nucleon (NN) forces at next-to-leading order (NLO) that describe NN phase shifts up to about 100 MeV fairly well have been applied to 3N and 4N systems. Faddeev-Yakubovsky equations have been solved…

Nuclear Theory · Physics 2009-11-06 E. Epelbaum , H. Kamada , A. Nogga , H. Witala , W. Glöckle , Ulf-G. Meißner

We show that chiral symmetry and gauge invariance enforce relations between the short-distance physics that occurs in a number of electroweak and pionic reactions on light nuclei. Within chiral perturbation theory this is manifested via the…

Nuclear Theory · Physics 2008-11-26 A. Gardestig , D. R. Phillips

We review the major progress of the past decade concerning our understanding of the nucleon-nucleon interaction. The focus is on the low-energy region (below pion production threshold), but a brief outlook towards higher energies is also…

Nuclear Theory · Physics 2009-11-07 R. Machleidt , I. Slaus

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

We construct accurate models of three-nucleon (3N) interaction by fitting, in a hybrid phenomenological approach, the low-energy constants parametrizing the subleading 3N contact operators to the triton binding energy, n-d scattering…

Nuclear Theory · Physics 2019-05-29 L. Girlanda , A. Kievsky , M. Viviani , L. E. Marcucci

Third order chiral perturbation theory accounts for the $\pi-N$ scattering phase shift data out to energies slightly below the position of the $\Delta$ resonance. The low energy constants are not accurately determined. Explicit inclusion of…

Nuclear Theory · Physics 2017-08-23 P. J. Ellis

pi-N and pi-pi interactions near threshold are uniquely sensitive to the chiral symmetry breaking part of the strong interaction. The pi-N sigma-term value with its implications for nucleon quark structure and the recent controversy…

High Energy Physics - Phenomenology · Physics 2015-06-25 D. Pocanic , E. Frlez

We present realistic models of pion-exchange three-nucleon interactions obtained by fitting the energies of all the 17 bound or narrow states of 3 <= A <= 8 nucleons, calculated with less than 2% error using the Green's function Monte Carlo…

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

Production of p-wave pions in nucleon-nucleon collisions is studied according to an improved power counting that embodies the constraints of chiral symmetry. Contributions from the first two non-vanishing orders are calculated. We find…

Nuclear Theory · Physics 2008-11-26 C. Hanhart , U. van Kolck , G. A. Miller

The $\Lambda N$ and $\Sigma N$ interactions are considered at next-to-leading order in SU(3) chiral effective field theory. Different options for the low-energy constants that determine the strength of the contact interactions are explored.…

Nuclear Theory · Physics 2020-04-22 J. Haidenbauer , U. -G. Meißner , A. Nogga
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