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The charge-dependent nucleon-nucleon ($NN$) interactions are crucial in understanding the nuclear structure and reaction problems. This work explores the charge-dependent $NN$ interaction in covariant chiral effective field theory. By…

Nuclear Theory · Physics 2025-04-23 Yang Xiao , Jun-Xu Lu , Li-Sheng Geng

The main elements and methods of chiral perturbation theory, the effective field theory of the Standard Model below the scale of spontaneous chiral symmetry breaking, are summarized. Applications to the interactions of mesons and baryons at…

High Energy Physics - Phenomenology · Physics 2010-12-02 Gerhard Ecker

Baryonic correlation functions are calculated within an effective chiral quark model motivated by the instanton liquid model of QCD. Using a flavour SU(3) symmetry for the local four-quark interaction and taking rotational zero modes for…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. Blotz , M. Praszalowicz , K. Goeke

We construct valence-space Hamiltonians for use in shell-model calculations, where the residual two-body interaction is based on symmetry principles and the low-momentum expansion from chiral effective field theory. In addition to the usual…

Nuclear Theory · Physics 2018-11-13 Lukas Huth , Victoria Durant , Johannes Simonis , Achim Schwenk

We point out that, due to the use of static nucleon propagators in Heavy Baryon Chiral Perturbation Theory, the current calculations of the nucleon-nucleon potential miss certain contributions starting at two loops. These contributions give…

Nuclear Theory · Physics 2008-11-26 Jorge Mondejar , Joan Soto

The determination of nucleus-nucleus potentials is important not only to describe the properties of the colliding system, but also to extract nuclear-structure information and for modelling nuclear reactions for astrophysics. We present the…

Nuclear Theory · Physics 2018-06-26 V. Durant , P. Capel , L. Huth , A. B. Balantekin , A. Schwenk

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

We present a determination of optical potentials using the double-folding method based on chiral effective field theory nucleon-nucleon interactions at next-to-next-to-leading order combined with dispersion relations to constrain the…

Nuclear Theory · Physics 2020-08-05 Victoria Durant , Pierre Capel , Achim Schwenk

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

The $|\Delta S|=1$ $\Lambda N$ interaction, responsible for the decay of hypernuclei, is studied by means of an Effective Field Theory where the long range physics is described by pion and kaon exchange mechanisms, and its short range…

Nuclear Theory · Physics 2007-05-23 A. Parreno , C. Bennhold , B. R. Holstein

We report on shell-model calculations employing effective interactions derived from a new realistic nucleon-nucleon (NN) potential based on chiral effective field theory. We present results for 18O, 134Te, and 210Po. Our results are in…

Nuclear Theory · Physics 2009-11-07 L. Coraggio , A. Covello , A. Gargano , N. Itaco , T. T. S. Kuo , D. R. Entem , R. Machleidt

We present the first ab initio calculations for $p$-shell hypernuclei including hyperon-nucleon-nucleon (YNN) contributions induced by a Similarity Renormalization Group transformation of the initial hyperon-nucleon interaction. The…

Nuclear Theory · Physics 2016-11-01 Roland Wirth , Robert Roth

Chiral perturbation theory is nowadays a well-established approach to incorporate the chiral constraints from QCD. Nevertheless, for systems involving one baryon, the power counting which dictates the chiral order of observables is not as…

Nuclear Theory · Physics 2014-11-20 Renato Higa

Applications imposing SU(3) chiral symmetry on non-relativistic field theory are considered. The first example is a calculation of the self-energy shifts of the spin-3/2 decuplet baryons in nuclear matter, from the chiral effective…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. M. Ouellette

The nucleon-nucleon ($NN$) potential is the residual interaction of the strong interaction in the low-energy region and is also the fundamental input to the study of atomic nuclei. Based on the non-perturbative properties of the quantum…

Nuclear Theory · Physics 2024-10-02 Ke Nan , Jinniu Hu , Hong Shen , Ying Zhang

Broken chiral symmetry has become the basis for a unified treatment of hadronic interactions at low energies. After reviewing mechanisms for spontaneous chiral symmetry breaking, I outline the construction of the low--energy effective field…

High Energy Physics - Phenomenology · Physics 2009-10-31 Gerhard Ecker

We present the first chiral effective theory derivation of the neutrinoless double beta-decay $nn\rightarrow pp$ potential induced by light Majorana neutrino exchange. The effective-field-theory framework has allowed us to identify and…

High Energy Physics - Phenomenology · Physics 2019-05-22 V. Cirigliano , W. Dekens , E. Mereghetti , A. Walker-Loud

We utilize the experimentally known difference of the $\Lambda$ separation energies of the mirror hypernuclei ${^4_\Lambda \rm He}$ and ${^4_\Lambda \rm H}$ to constrain the $\Lambda$-neutron interaction. We include the leading…

Nuclear Theory · Physics 2021-11-03 Johann Haidenbauer , Ulf-G. Meißner , Andreas Nogga

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 present improved nucleon-nucleon potentials derived in chiral effective field theory up to next-to-next-to-next-to-leading order. We argue that the nonlocal momentum-space regulator employed in the two-nucleon potentials of Refs. [E.…

Nuclear Theory · Physics 2015-06-11 E. Epelbaum , H. Krebs , U. -G. Meißner