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Three-nucleon forces, which compose an up-to-date subject in few-nucleon systems, provide a good account of the triton binding energy and the cross section minimum in proton-deuteron elastic scattering, while do not succeed in explaining…

Nuclear Theory · Physics 2009-11-07 S. Ishikawa , M. Tanifuji , Y. Iseri

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

Neutron-deuteron elastic scattering cross sections are calculated at different energies using modern nucleon-nucleon interactions and the Tucson-Melbourne three-nucleon force adjusted to the triton binding energy. Predictions based on NN…

Nuclear Theory · Physics 2009-10-31 H. Witala , W. Gloeckle , D. Hueber , J. Golak , H. Kamada

We present a perturbative approach to solving the three-nucleon continuum Faddeev equation. This approach is particularly well suited to dealing with variable strengths of contact terms in a chiral three-nucleon force. We use examples of…

Nuclear Theory · Physics 2021-05-26 H. Witała , J. Golak , R. Skibiński , K. Topolnicki

We perform the first complete analysis of nd scattering at next-to-next-to-leading order in chiral effective field theory including the corresponding three-nucleon force and extending our previous work, where only the two-nucleon…

Nuclear Theory · Physics 2009-11-07 E. Epelbaum , A. Nogga , W. Glöckle , H. Kamada , Ulf-G. Meißner , H. Witała

Historic steps in the emergence, the derivation and the use of three-nucleon forces, genuine and effective, for calculations of few-nucleon systems and of the structure of heavier nuclei are recalled. The research focus is on few-nucleon…

Nuclear Theory · Physics 2013-09-16 Peter U. Sauer

Chiral symmetry allows two and three nucleon forces to be treated in a single theoretical framework. We discuss two new features of this research programme at $\cO(q^4)$ and the consistency of the overall chiral picture.

Nuclear Theory · Physics 2008-11-26 M. R. Robilotta

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

These lectures give an introduction to baryon chiral perturbation theory. I show in detail how to construct the chiral effective pion-nucleon Lagrangian in the one loop approximation. Particular emphasis is put on the physics related to…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ulf-G. Meißner

We compute from chiral two- and three-nucleon interactions the energy per particle of symmetric nuclear matter and pure neutron matter at third-order in perturbation theory including self-consistent second-order single-particle energies.…

Nuclear Theory · Physics 2017-04-05 J. W. Holt , N. Kaiser

The leading contribution to the three-pion exchange nucleon-nucleon potential is calculated in the framework of chiral symmetry. It has pseudoscalar and axial components and is dominated by the former, which has a range of about 1.5 fm and…

Nuclear Theory · Physics 2009-10-31 J. C. Pupin , M. R. Robilotta

Three-nucleon scattering equations with irreducible three-nucleon force are solved in momentum-space. The Coulomb interaction between the two protons is included using the method of screening and renormalization. The need for the…

Nuclear Theory · Physics 2010-05-07 A. Deltuva

After a brief review on the status of few--nucleon studies based on conventional nuclear forces, we sketch the concepts of the effective field theory approach constrained by chiral symmetry and its application to nuclear forces. Then first…

Nuclear Theory · Physics 2017-08-23 W. Gloeckle , E. Epelbaum , U. G. Meissner , A. Nogga , H. Kamada , H. Witala

Three-nucleon force and continuum play important roles in reproducing the properties of atomic nuclei around driplines. Therefore it is valuable to build up a theoretical framework where both effects can be taken into account to solve the…

Nuclear Theory · Physics 2020-08-04 Y. Z. Ma , F. R. Xu , L. Coraggio , B. S. Hu , J. G. Li , T. Fukui , L. De Angelis , N. Itaco , A. Gargano

For the first time, elastic pion-nucleon scattering is analyzed in the framework of chiral perturbation theory up to fourth order with explicit $\Delta$ degrees of freedom. The analysis is performed within the heavy-baryon expansion as well…

Nuclear Theory · Physics 2020-01-15 Dmitrij Siemens

Recent experimental results in three-body systems have unambiguously shown that calculations based on nucleon-nucleon forces fail to accurately describe many experimental observables and one needs to include effects which are beyond the…

Nuclear Theory · Physics 2011-08-04 N. Kalantar-Nayestanaki , E. Epelbaum

We discuss new spin observables presently accessible to measurement in the proton-deuteron (pd) system, namely polarization transfer coefficients from doubly spin-polarized initial state to the outgoing nucleon in the elastic…

Nuclear Theory · Physics 2025-05-21 H. Witała , J. Golak , R. Skibiński , H. Sakai , K. Sekiguchi

Two different aspects of the description of three- and four-nucleon systems are addressed. The use of bound state like wave functions to describe scattering states in $N-d$ collisions at low energies and the effects of some of the widely…

Nuclear Theory · Physics 2015-05-27 A. Kievsky

We study nuclear physics in the chiral limit ($m_u$, $m_d=0$) in which the pion mass vanishes. We find that the deuteron mass is changed little, but that P--wave nucleon--nucleon scattering volumes are infinite. This motivates an…

Nuclear Theory · Physics 2008-11-26 Aurel BULGAC , Gerald A. MILLER , Mark STRIKMAN

We review a large body of predictions obtained within the framework of relativistic meson theory together with the Dirac-Brueckner-Hartree-Fock approach to nuclear matter and finite nuclei. The success of this method has been largely…

Nuclear Theory · Physics 2017-01-12 Herbert Müther , Francesca Sammarruca , Zhongyu Ma
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