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Related papers: Effect of the N3LO three-nucleon contact interacti…

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A satisfactory description of bound and scattering states of the three-nucleon (3N) system is still lacking, contrary to what happens in the two-nucleon case. In the framework of chiral effective theory, it is possible that a realistic 3N…

Nuclear Theory · Physics 2012-06-22 L. Girlanda , A. Kievsky , M. Viviani

We present quantum Monte Carlo calculations of light nuclei, neutron-$\alpha$ scattering, and neutron matter using local two- and three-nucleon ($3N$) interactions derived from chiral effective field theory up to next-to-next-to-leading…

Nuclear Theory · Physics 2016-02-18 J. E. Lynn , I. Tews , J. Carlson , S. Gandolfi , A. Gezerlis , K. E. Schmidt , A. Schwenk

Starting from a complete set of relativistic nucleon-nucleon contact operators up to order $O(p^4)$ of the expansion in the soft (relative or nucleon) momentum $p$, we show that non-relativistic expansions of relativistic operators involve…

Nuclear Theory · Physics 2024-04-18 E. Filandri , L. Girlanda , A. Kievsky , L. E. Marcucci , M. Viviani

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

We identify a redundancy between two- and three-nucleon contact interactions at the fourth and fifth order of the chiral expansion respectively. In particular we show that tensor-type and spin-orbit three-nucleon contact interactions…

Nuclear Theory · Physics 2021-01-04 L. Girlanda , A. Kievsky , L. E. Marcucci , M. Viviani

We investigate the importance of the three-nucleon (3N) force contact terms in elastic nucleon-deuteron (Nd) scattering by applying the N$^4$LO$^+$ chiral semi-local momentum space (SMS) regularized nucleon-nucleon (NN) chiral potential…

Nuclear Theory · Physics 2022-06-01 H. Witała , J. Golak , R. Skibiński

Classes of two-nucleon ($2N$) contact interactions are developed in configuration space at leading order (LO), next-to-leading order (NLO), and next-to-next-to-next-to-leading order (N3LO) by fitting the experimental singlet $np$ scattering…

Nuclear Theory · Physics 2021-06-02 R. Schiavilla , L. Girlanda , A. Gnech , A. Kievsky , A. Lovato , L. E. Marcucci , M. Piarulli , M. Viviani

We consider the two-nucleon system at next-to-next-to-next-to-leading order (N^3LO) in chiral effective field theory. The two-nucleon potential at N^3LO consists of one-, two- and three-pion exchanges and a set of contact interactions with…

Nuclear Theory · Physics 2014-11-18 E. Epelbaum , W. Glöckle , Ulf-G. Meißner

We employ the chiral nucleon-nucleon potential derived using the method of unitary transformation up to next-to-next-to-leading order (NNLO) to study bound and scattering states in the two-nucleon system. The predicted partial wave phase…

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

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

Properties of finite nuclei are evaluated with two-nucleon (NN) and three-nucleon (NNN) interactions derived within chiral effective field theory (EFT). The nuclear Hamiltonian is fixed by properties of the A=2 system, except for two…

Nuclear Theory · Physics 2008-11-26 P. Navratil , V. G. Gueorguiev , J. P. Vary , W. E. Ormand , A. Nogga

We construct a nuclear interaction in chiral effective field theory with explicit inclusion of the $\Delta$-isobar $\Delta(1232)$ degree of freedom at all orders up to next-to-next-to-leading order (NNLO). We use pion-nucleon ($\pi N$)…

Nuclear Theory · Physics 2018-02-27 A. Ekström , G. Hagen , T. D. Morris , T. Papenbrock , P. D. Schwartz

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…

We present a family of nucleon-nucleon (NN) plus three-nucleon (3N) interactions up to N3LO in the chiral expansion that provides an accurate ab initio description of ground-state energies and charge radii up to the medium-mass regime with…

Nuclear Theory · Physics 2020-08-26 Thomas Hüther , Klaus Vobig , Kai Hebeler , Ruprecht Machleidt , Robert Roth

We study the three-nucleon system at next-to-next-to-next-to-leading order ($\mathrm{N^3LO}$) in the framework of chiral effective field theory (EFT) on the lattice. Our calculations do not rely on a perturbative treatment of subleading…

Nuclear Theory · Physics 2024-12-02 Lukas Bovermann , Evgeny Epelbaum , Hermann Krebs , Dean Lee

We use phase-equivalent transformations to adjust off-shell properties of similarity renormalization group evolved chiral effective field theory NN interaction (Idaho N3LO) to fit selected binding energies and spectra of light nuclei in an…

Nuclear Theory · Physics 2016-08-10 A. M. Shirokov , I. J. Shin , Y. Kim , M. Sosonkina , P. Maris , J. P. Vary

In a previous series of papers we investigated the domain of applicability of chiral potentials to the construction of a microscopic optical potential (OP) for elastic nucleon-nucleus scattering. The final expression of the OP was a folding…

We study the parity-violating effects in $nd\rightarrow$ $^3H\gamma$ process using pionless effective field theory (EFT($//!/!/!/pi$)) at thermal energy. For the weak $NN$ interaction the parity-violating Lagrangian contains five…

Nuclear Theory · Physics 2013-09-19 M. Moeini Arani , S. Bayegan

The three-nucleon (NNN) interaction derived within the chiral effective field theory at the next-to-next-to-leading order (N2LO) is regulated with a function depending on the magnitude of the momentum transfer. The regulated NNN interaction…

Nuclear Theory · Physics 2008-11-26 Petr Navratil

We report on recent progress achieved in calculating various few-nucleon low-energy observables from effective field theory. Our discussion includes scattering and bound states in the 2N, 3N and 4N systems and isospin violating effects in…

Nuclear Theory · Physics 2009-11-07 Evgeny Epelbaum , Ulf-G. Meißner , Walter Glöckle , C. Elster , H. Kamada , A. Nogga , H. Witala
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