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Related papers: Accurate Nucleon-Nucleon Potential Based upon Chir…

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We propose a new, renormalizable approach to nucleon-nucleon scattering in chiral effective field theory based on the manifestly Lorentz invariant form of the effective Lagrangian without employing the heavy-baryon expansion. For the…

Nuclear Theory · Physics 2015-06-05 E. Epelbaum , J. Gegelia

We present details of the derivation of local chiral effective field theory interactions to next-to-next-to-leading order, and show results for nucleon-nucleon phase shifts and deuteron properties for these potentials. We then perform…

Nuclear Theory · Physics 2014-11-27 A. Gezerlis , I. Tews , E. Epelbaum , M. Freunek , S. Gandolfi , K. Hebeler , A. Nogga , A. Schwenk

To obtain an understanding of the structure and reactions of nuclear systems from first principles has been a long-standing goal of nuclear physics. In this respect, few- and many-body systems provide a unique laboratory for studying…

Nuclear Theory · Physics 2020-02-27 Maria Piarulli , Ingo Tews

We calculate the impact of the complete set of two-pion exchange contributions at chiral order four (also known as next-to-next-to-next-to-leading order, N3LO) on peripheral partial waves of nucleon-nucleon scattering. Our calculations are…

Nuclear Theory · Physics 2009-11-07 D. R. Entem , R. Machleidt

The chiral two-pion exchange nucleon-nucleon interaction has nowadays a rather firm conceptual basis, but depends on low-energy constants, which may be extracted from fits to data. In order to facilitate this kind of application, we present…

Nuclear Theory · Physics 2007-05-23 R. Higa , M. R. Robilotta , C. A. da Rocha

We take an approach to the $\Lambda$ nonmesonic weak decay in nuclei based on the exchange of mesons under the guidelines of chiral Lagrangians. The one pion and one kaon exchange are considered, together with the exchange of two pions,…

Nuclear Theory · Physics 2009-11-06 E. Oset , D. Jido , J. E. Palomar

We report on the recent developments of a new effective field theory for nuclear matter [1,2,3]. We present first the nuclear matter chiral power counting that takes into account both short-- and long--range inter-nucleon interactions. It…

Nuclear Theory · Physics 2011-01-04 A. Lacour , U. -G. Meissner , J. A. Oller

We study nucleon-nucleon scattering on the lattice at next-to-leading order in chiral effective field theory. We determine phase shifts and mixing angles from the properties of two-nucleon standing waves induced by a hard spherical wall in…

Nuclear Theory · Physics 2008-11-26 Bugra Borasoy , Evgeny Epelbaum , Hermann Krebs , Dean Lee , 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

Background: Effective interactions for nucleon-nucleus ($NA$) elastic scattering from first principles require the use of the same nucleon-nucleon ($NN$) interaction in the structure and reaction calculations, and a consistent treatment of…

Nuclear Theory · Physics 2022-12-28 R. B. Baker , B. McClung , Ch. Elster , P. Maris , S. P. Weppner , M. Burrows , G. Popa

We have quantified the statistical uncertainties of the low-energy coupling-constants (LECs) of an optimized nucleon-nucleon (NN) interaction from chiral effective field theory ($\chi$EFT) at next-to-next-to-leading order (NNLO). In…

Nuclear Theory · Physics 2015-06-10 A. Ekström , B. D. Carlsson , K. A. Wendt , C. Forssén , M. Hjorth-Jensen , R. Machleidt , S. M. Wild

The $\Xi$ single-particle potential obtained in nuclear matter with the next-to-leading order baryon-baryon interactions in chiral effective field theory is applied to finite nuclei by an improved local-density approximation method. As a…

Nuclear Theory · Physics 2021-07-09 M. Kohno , K. Miyagawa

We investigate the behaviour of the nuclear forces as a function of the light quark masses (or, equivalently, pion mass) in the framework of chiral effective field theory at next-to-leading order. The nucleon-nucleon force is described in…

Nuclear Theory · Physics 2011-07-18 Evgeny Epelbaum , Ulf-G. Meißner , Walter Glöckle

The dibaryon concept for the nuclear force is presented, assuming that the main attraction between the nucleons at medium distances is determined by the $s$-channel exchange of an intermediate six-quark (dibaryon) state. To construct the…

Nuclear Theory · Physics 2022-12-13 V. I. Kukulin , V. N. Pomerantsev , O. A. Rubtsova , M. N. Platonova , I. T. Obukhovsky

In the absence of nucleons, we use partial wave unitarity, to show that the chiral expansion parameter must be close to $p^2/4\pi f_{\pi}^2$ rather than $p^2/16\pi^2 f_{\pi}^2$ as previously suggested, where $p$ is a typical pion momentum…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hidenaga Yamagishi , Ismail Zahed

In pure chiral perturbation theory (ChPT) the couplings of higher order Lagrangian terms are running parameters and hence can be determined only empirically from various low-energy hadronic processes. While this scenario works well for…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hai-Yang Cheng

We recently developed a Bayesian framework for parameter estimation in general effective field theories. Here we present selected results from using that framework to estimate parameters with a nucleon-nucleon (NN) potential derived using…

Nuclear Theory · Physics 2019-03-15 S. Wesolowski , R. J. Furnstahl , J. A. Melendez , D. R. Phillips

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

I review the chiral dynamics of nuclear physics. In the first part, I discuss the new developments in the construction of the forces between two, three and four nucleons which have been partly carried out to fifth order in the chiral…

Nuclear Theory · Physics 2016-03-23 Ulf-G Meißner

We construct the two- and three-nucleon potential based on the most general chiral effective pion-nucleon Lagrangian using the method of unitary transformations. For that, we develop a power counting scheme consistent with this projection…

Nuclear Theory · Physics 2009-10-31 E. Epelbaoum , W. Glöckle , Ulf-G. Meißner