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The nucleon-nucleon interaction is constructed by means of the $J$-matrix version of inverse scattering theory. Ambiguities of the interaction are eliminated by postulating tridiagonal and quasi-tridiagonal forms of the potential matrix in…

Nuclear Theory · Physics 2009-11-10 A. M. Shirokov , A. I. Mazur , S. A. Zaytsev , J. P. Vary , T. A. Weber

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

Ab initio calculations in Nuclear physics for atomic nuclei require a specific knowledge of the interactions among their constituents, protons and neutrons. In particular, NN interactions can be constrained down to scale resolutions of…

Nuclear Theory · Physics 2020-01-08 Enrique Ruiz Arriola , Jose Enrique Amaro , Rodrigo Navarro Perez

An effective field theory treatment of nucleon-nucleon scattering at low energy shows much promise and could prove a useful tool in the study of nuclear matter at both ordinary and extreme densities. The analysis is complicated by the…

Nuclear Theory · Physics 2009-10-30 David B. Kaplan

By calculating the contribution of the $\pi-\pi$ three-body force to the three-nucleon binding energy in terms of the $\pi N$ amplitude using perturbation theory, we are able to determine the importance of the energy dependence and the…

Nuclear Theory · Physics 2009-10-28 T-Y Saito , I. R. Afnan

Various aspects of the application of Effective Field Theory (EFT) to the Nucleon-Nucleon (NN) interaction are considered. We look for contributions beyond One Pion Exchange which are predicted by Chiral Symmetry. Using the formalism of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Keith G. Richardson

We consider the correlation between the binding energies of the triton and the alpha-particle which is empirically observed in calculations employing different phenomenological nucleon-nucleon interactions. Using an effective quantum…

Nuclear Theory · Physics 2010-04-05 L. Platter , H. -W. Hammer , U. -G. Meißner

In the last few years, the low-momentum nucleon-nucleon (NN) interaction V-low-k derived from free-space NN potentials has been successfully used in shell-model calculations. V-low-k is a smooth potential which preserves the deuteron…

Nuclear Theory · Physics 2008-11-26 L. Coraggio , A. Covello , A. Gargano , N. Itaco , D. R. Entem , T. T. S. Kuo , R. Machleidt

A systematic description of low-energy observables in light nuclei is presented. The effective field theory formalism without pions is extended to: i) predictions with next-to-leading-order (non-perturbatively) accuracy for the 4-helium…

Nuclear Theory · Physics 2015-06-03 Johannes Kirscher

We present the results of the application of a nuclear potential consisting of two- and three-nucleon contact interactions in nuclear structure investigations. The nuclear Hamiltonian has been derived for a very low-energy regime within the…

Nuclear Theory · Physics 2025-11-25 Songlin Lyu , Francesco Amodio , Giovanni De Gregorio , Nunzio Itaco , Luigi Coraggio

Separable nucleon-nucleon potentials are calculated using inverse scattering techniques as presented in previously published work. The dependence of the potentials on the momentum cut-off of the scattering phase-shifts is studied. Some…

Nuclear Theory · Physics 2007-05-23 H. S. Kohler

We calculate the cross section of the electron scattering from a bound nucleon within light-front approximation. The advantage of this approximation is the possibility of systematic account for the off-shell effects which become essential…

Nuclear Theory · Physics 2018-10-03 Frank Vera , Misak M. Sargsian

Various modern nucleon-nucleon (NN) potentials yield a very accurate fit to the nucleon-nucleon scattering phase shifts. The differences between these interactions in describing properties of nuclear matter are investigated. Various…

Nuclear Theory · Physics 2009-10-31 H. Müther , A. Polls

We develop a model of off-mass-shell pairing correlations in nuclear systems, which is based on the meson-exchange picture of nuclear interactions. The temporal retardations in the model are generated by the Fock-exchange diagrams. The…

Nuclear Theory · Physics 2009-11-10 Armen Sedrakian

The main progress in the field of nucleon-nucleon (NN) potentials, which we have seen in recent years, is the construction of some very quantitative (high-quality/high-precision) NN potentials. These potentials will serve as excellent input…

Nuclear Theory · Physics 2007-05-23 R. Machleidt

The nonrelativistic full-folding optical model approach for nucleon-nucleus scattering is extended into the relativistic regime. In doing so, kinematical issues involving the off-shell Lorentz boost of the colliding particles between the…

Nuclear Theory · Physics 2009-11-07 H. F. Arellano , H. V. von Geramb

We investigate the on-shell approximation in the context of s-wave scattering for ultracold two-body collisions. Our analysis systematically covers spatial dimensions D=1,2,3 , with the aim of identifying the regimes in which the…

Quantum Gases · Physics 2025-11-21 Francesco Lorenzi , Luca Salasnich

Offshell contributions to the electromagnetic nuclear current are evaluated within a nonrelativistic approach by incorporation one-pion loop contributions in time-ordered perturbation theory. By construction, the correct experimental…

Nuclear Theory · Physics 2009-11-07 Michael Schwamb , Hartmuth Arenhoevel

Important contributions to meson-nucleus scattering are produced by terms in the multiple-scattering series, which is defined as the sum of all diagrams where the meson scatters back and forth between a pair of static nucleons before…

Nuclear Theory · Physics 2015-06-04 V. Baru , E. Epelbaum , C. Hanhart , M. Hoferichter , A. E. Kudryavtsev , D. R. Phillips

We describe the properties of complex nuclei, such as the Sn isotopes with mass numbers A = 100 - 132, in terms of the free nucleon--nucleon interaction as obtained from meson--exchange theory. This amounts to first calculating an effective…

Nuclear Theory · Physics 2007-05-23 T. Engeland , M. Hjorth-Jensen , A. Holt , E. Osnes