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General operator form of the non-local three-nucleon force

/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 1. H. Witala , J. Golak , R. Skibin´ski, K. Topolnicki , J. Phys . G 41 ... ). 9. E. Epelbaum , A.M. Gasparyan , H. Krebs , C. Schat , Eur. Phys. J. A . 51 , 26 ( 2015 ). 10. K. Topolnicki , J. Golak , R. Skibin´ski, H. Witala, Eur. Phys. J. A . 52 , 188 ( 2016 ). 11. J. Golak

Role of the Total Isospin 3/2 Component in Three-Nucleon Reactions

We discuss the role of the three-nucleon isospin \(T=3/2\) amplitude in elastic neutron–deuteron scattering and in the deuteron breakup reaction. The contribution of this amplitude originates from charge-independence breaking of the nucleon–nucleon potential and is driven by the difference between neutron–neutron (proton–proton) and neutron–proton forces. We study the magnitude...

First-order neutron-deuteron scattering in a three-dimensional approach

. Phys. A 747 , 362 ( 2005 ). 11. H. Witala , J. Golak , R. Skibin´ski , K. Topolnicki , J. Phys . G: Nucl. Part. Phys . 41 , 094001 ( 2014 ). 12. H. Witala , W. Gl¨ockle , D. Hu¨ber, J. Golak , H. Kamada ... . Skibin´ski , H. Witala , Eur. Phys. J. A 43 , 339 ( 2010 ). 20. J. Golak , W. Gl¨ockle , R. Skibin´ski , H. Witala , D. Rozp¸edzik , K. Topolnicki , I. Fachruddin , Ch. Elster, A. Nogga , Phys. Rev. C 81

3H at Next-to-Next-to-Next-to Leading Order of the Chiral Expansion

The chiral three-nucleon force (3NF) at next-to-next-to-next-to leading order (N3LO) is used to calculate the triton wave function and the doublet nucleon–deuteron scattering length. This allows us to fix the values of the low-energy constants which are free parameters of the theory. The obtained values of these parameters, the expectation values of the kinetic energy, two- and...

Deuteron Disintegration in Three Dimensions

We compare results from traditional partial wave treatment of deuteron electro-disintegration with a new approach that uses three-dimensional formalism. The new framework for the two-nucleon (2N) system using a complete set of isospin–spin states made it possible to construct simple implementations that employ a very general operator form of the current operator and 2N states.

Low-energy neutron-deuteron reactions with N 3 LO chiral forces

We solve three-nucleon Faddeev equations with nucleon-nucleon and three-nucleon forces derived consistently in the framework of chiral perturbation theory at next-to-next-to-next-to-leading order in the chiral expansion. In this first investigation we include only matrix elements of the three-nucleon force for partial waves with the total two-nucleon (three-nucleon) angular...

Calculations of Three-Nucleon Reactions

Faddeev calculations using the chiral three-nucleon force in next-to-next-to-next-to-leading-order show that this force is too weak to provide an explanation for the low-energy A y puzzle. The large discrepancy between data and theory for the neutron–neutron quasi-free-scattering cross section in low energy neutron–deuteron breakup requires a modification of the \({^{1}S_0...

The Tucson-Melbourne three-nucleon force in the automatized partial-wave decomposition

A recently developed procedure for a partial-wave decomposition of a three-nucleon force is applied to the \( \pi\) -\( \pi\) , \( \pi\) -\( \rho\) and \( \rho\) -\( \rho\) components of the Tucson-Melbourne three-nucleon potential. The resulting matrix elements for the \( \pi\) -\( \pi\) and \( \pi\) -\( \rho\) components are compared with the values obtained using the standard...

Recent Developments of a Three-dimensional Description of the NN System

A recently developed three-dimensional formulation of nucleon–nucleon (NN) scattering is briefly presented. Here the NN t-matrix is represented by six spin-momentum operators accompanied by six scalar functions of momentum vectors. A numerical example for the NN scattering cross section is given.