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Related papers: Momentum dependent nucleon-nucleon contact interac…

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A complete set of parity- and time-reversal conserving relativistic nucleon-nucleon contact operators is identified up to the order $O(p^4)$ of the expansion in soft momenta $p$. A basis is also provided for the corresponding…

Nuclear Theory · Physics 2023-05-16 E. Filandri , L. Girlanda

A unitary transformation allows to remove redundant terms in the two-nucleon (2N) contact interaction at the fourth order (N3LO) in the low-energy expansion of Chiral Effective Field Theory. In so doing a three-nucleon (3N) interaction is…

Nuclear Theory · Physics 2023-06-28 L. Girlanda , E. Filandri , A. Kievsky , L. E. Marcucci , M. Viviani

We derive density-dependent corrections to the in-medium nucleon-nucleon interaction from the leading-order chiral three-nucleon force. To this order there are six distinct one-loop diagrams contributing to the in-medium nucleon-nucleon…

Nuclear Theory · Physics 2010-04-06 J. W. Holt , N. Kaiser , W. Weise

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

N-d elastic scattering is studied at different energies using one of the modern NN interactions, the Argonne v_{18} which explicitly includes the magnetic moment interaction between two nucleons. This interaction, which has been often…

Nuclear Theory · Physics 2015-06-26 A. Kievsky , M. Viviani , L. E. Marcucci , S. Rosati

Motivated by the successes of relativistic theories in studies of atomic/molecular and nuclear systems and the need for a relativistic chiral force in relativistic nuclear structure studies, we explore a new relativistic scheme to construct…

Nuclear Theory · Physics 2017-11-28 Xiu-Lei Ren , Kai-Wen Li , Li-Sheng Geng , Bing-Wei Long , Peter Ring , Jie Meng

Nucleon-nucleon ($NN$) interactions based on chiral effective theories are commonly used in ab initio calculations of light nuclei. Here we present a study based on three different NN interactions (up to next-to-next-to-leading order) for…

Nuclear Theory · Physics 2023-06-23 R. B. Baker , M. Burrows , Ch. Elster , P. Maris , G. Popa , S. P. Weppner

We employ the chiral nucleon-nucleon potential derived in ref.[1] to study bound and scattering states in the two-nucleon system. At next-to-leading order, this potential is the sum of renormalized one-pion and two-pion exchange and contact…

Nuclear Theory · Physics 2011-05-05 E. Epelbaum , W. Glöckle , Ulf-G. Meißner

In this talk, we report on two recent studies of relativistic nucleon-nucleon and hyperon-nucleon interactions in covariant chiral perturbation theory, where they are constructed up to leading order. The relevant unknown low energy…

Nuclear Theory · Physics 2018-01-04 Xiu-Lei Ren , Kai-Wen Li , Li-Sheng Geng

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 apply a recently proposed covariant power counting in nucleon-nucleon interactions to study strangeness $S=-1$ $\Lambda N-\Sigma N$ interactions in chiral effective field theory. At leading order, Lorentz invariance introduces 12 low…

Nuclear Theory · Physics 2018-01-08 Kai-Wen Li , Xiu-Lei Ren , Li-Sheng Geng , Bing-Wei Long

In chiral effective field theory the leading order (LO) nucleon-nucleon potential includes two contact terms, in the two spin channels $S=0,1$, and the one-pion-exchange potential. When the pion degrees of freedom are integrated out, as in…

Nuclear Theory · Physics 2017-03-08 A. Kievsky , M. Viviani , M. Gattobigio , L. Girlanda

We investigate the nonlocal structure of optical model potentials for nucleon-nucleus scattering based on microscopic approaches. To this purpose, \emph{in-medium} folding optical potentials are calculated in momentum space and their…

Nuclear Theory · Physics 2018-12-05 H. F. Arellano , G. Blanchon

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 extend the renormalizability study of the formulation of chiral effective field theory with a finite cutoff, applied to nucleon-nucleon scattering, by taking into account non-perturbative effects. We consider the nucleon-nucleon…

Nuclear Theory · Physics 2023-04-19 A. M. Gasparyan , E. Epelbaum

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 construct the most general, relativistically invariant, contact Lagrangian at order Q^2 in the power counting, Q denoting the low momentum scale. A complete, but non-minimal, set of (contact) interaction terms is identified, which upon…

Nuclear Theory · Physics 2010-05-28 L. Girlanda , S. Pastore , R. Schiavilla , M. Viviani

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

Background: Calculating microscopic effective interactions (optical potentials) for elastic nucleon-nucleus scattering has already in the past led to a large body of work. For first-order calculations a nucleon-nucleon (\textit{NN})…

Nuclear Theory · Physics 2020-09-16 M. Burrows , R. B. Baker , Ch. Elster , S. P. Weppner , K. D. Launey , P. Maris , G. Popa

Nuclear processes involving momenta much below the mass of the pion may be described by an effective field theory in which the pions do not appear as explicit degrees of freedom. The effects of the pion and all other virtual hadrons are…

Nuclear Theory · Physics 2008-11-26 Jiunn-Wei Chen , Gautam Rupak , Martin J. Savage
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