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The Faddeev-Yakubovsky equations for the alpha-particle are solved. Accurate results are obtained for several modern NN interaction models, which include charge-symmetry breaking effects in the NN force, nucleon mass dependences as well as…

Nuclear Theory · Physics 2008-11-26 A. Nogga , H. Kamada , W. Gloeckle , B. R. Barrett

We present high precision benchmark calculations for the triton binding energy using the most recent, phase equivalent realistic nucleon-nucleon (NN) potentials and the Tuscon-Melbourne pi-pi three-nucleon force (3NF). That 3NF is included…

Nuclear Theory · Physics 2009-10-30 A. Nogga , D. Hueber , H. Kamada , W. Gloeckle

It is shown how a bare three-nucleon force is incorporated into the formalism of the effective interaction approach for hyperspherical harmonics. As a practical example we calculate the ground state properties of 3H and 3He using the…

Nuclear Theory · Physics 2015-06-26 Nir Barnea , Victor D. Efros , Winfried Leidemann , Giuseppina Orlandini

Microscopic calculations based on realistic nuclear hamiltonians, while yielding accurate results for the energies of the ground and low-lying excited states of nuclei with $A \leq 12$, fail to reproduce the empirical equilibrium properties…

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

Using modern nucleon-nucleon interactions in the description of the $A=3,4$ nuclei, it is not possible to reproduce both the three- and four-nucleon binding energies simultaneously. This is one manifestation of the necessity of including a…

Nuclear Theory · Physics 2015-05-18 A. Kievsky , M. Viviani , L. Girlanda , L. E. Marcucci

We identify a new class of three-nucleon forces that arises in the low-energy effective theory of nuclear interactions including pions. We estimate their contribution to the energy of neutron and nuclear matter and find that it can be as…

Nuclear Theory · Physics 2024-11-04 V. Cirigliano , M. Dawid , W. Dekens , S. Reddy

The contribution of a $\pi \pi$-exchange three-body force to the three-nucleon binding energy is calculated in terms of a $\pi N$ amplitude. The latter is based on a meson-theoretical model of $\pi N$ interaction developed by the J\"ulich…

Nuclear Theory · Physics 2015-06-26 T. -Y. Saito , J. Haidenbauer

Employing the concept of three-body radial distribution function and using the two-body correlation functions, calculated based on the lowest order constrained variational method, we investigated the effect of the three-body force (TBF) on…

Nuclear Theory · Physics 2022-04-18 H. Moeini , G. H. Bordbar

After a historical review, I present the progress in the field of realistic NN potentials that we have seen in recent years. A new generation of very quantitative (high-quality/high-precision) NN potentials has emerged. These potentials…

Nuclear Theory · Physics 2009-10-31 R. Machleidt

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

Most nuclear physics ranges from insensitive to relatively insensitive to many-nucleon forces. The dominant ingredient in calculations of nuclear properties is the nucleon-nucleon potential. Three-nucleon forces nevertheless play an…

Nuclear Theory · Physics 2014-11-18 J. L. Friar

In this work, we have studied the effect of three-nucleon interaction on the neutron stars structure. In our calculations, we have considered the neutron star matter as a beta-stable nuclear matter. We have put the results concerning the…

Nuclear Theory · Physics 2025-01-30 H. Moeini , G. H. Bordbar

We demonstrate that the partial wave decomposition of three-nucleon forces used up to now in momentum space has to be necessarily unstable at high partial waves. This does not affect the applications performed up to now, which were…

Nuclear Theory · Physics 2016-08-15 D. Hüber , H. Witała , A. Nogga , W. Glöckle , H. Kamada

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…

Nuclear Theory · Physics 2015-05-27 R. Skibinski , J. Golak , K. Topolnicki , H. Witala , H. Kamada , W. Glockle , A. Nogga

Three-nucleon forces are crucial for the accurate description of nuclear systems, including dense matter probed in neutron stars. We explore nuclear Hamiltonians that reproduce two-nucleon scattering data and properties of light nuclei, but…

High Energy Astrophysical Phenomena · Physics 2023-03-21 Henrik Rose , Nina Kunert , Tim Dietrich , Peter T. H. Pang , Rory Smith , Chris Van Den Broeck , Stefano Gandolfi , Ingo Tews

Using modern nucleon-nucleon interactions in the description of the $A=3,4$ nuclear systems the $\chi^2$ per datum results to be much bigger than one. In particular it is not possible to reproduce the three- and four-nucleon binding…

Nuclear Theory · Physics 2015-05-20 A. Kievsky

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

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

Nuclear Theory · Physics 2015-05-30 N. Kalantar-Nayestanaki , E. Epelbaum , J. G. Messchendorp , A. Nogga

New formulas to calculate the nuclear charge radii and the nuclear binding energies have been derived in the framework of an alpha-cluster model. The particular features of the model are two assumptions that the proton-neutron pair…

Nuclear Theory · Physics 2007-05-23 G. K. Nie
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