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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

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 analyze the low energy NN interaction by confronting statistical vs systematic uncertainties. This is carried out with the help of model potentials fitted to the Granada-2013 database where a statistically meaningful partial wave…

Nuclear Theory · Physics 2016-06-15 R. Navarro Perez , J. E. Amaro , E. Ruiz Arriola

There is an increasing interest in quantifying the predictive power in nuclear structure calculations. We discuss how both experimental and systematic errors at the NN-level can be used to estimate the theoretical uncertainties by rather…

Nuclear Theory · Physics 2012-06-18 R. Navarro Perez , J. E. Amaro , E. Ruiz Arriola

The model of binding alpha-particles in nuclei is suggested. It is shown good (with the accuracy of 1-2%) description of the experimental binding energies in light and medium nuclear systems. Our preliminary calculations show enhancement of…

Nuclear Theory · Physics 2017-08-23 K. A. Gridnev , S. Yu. Torilov , V. G. Kartavenko , W. Greiner , D. K. Gridnev , J. Hamilton

The hypertriton bound state is relevant for inference of knowledge about the hyperon-nucleon (YN) interaction. In this work we compute the binding energy of the hypertriton using the ab initio hypernuclear no-core shell model (NCSM) with…

Nuclear Theory · Physics 2021-09-21 Thiri Yadanar Htun , Daniel Gazda , Christian Forssén , Yupeng Yan

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

An effective field theory is used to describe light nuclei, calculated from quantum chromodynamics on a lattice at unphysically large pion masses. The theory is calibrated at leading order to two available data sets on two- and three-body…

Nuclear Theory · Physics 2015-12-09 Johannes Kirscher , Nir Barnea , Doron Gazit , Francesco Pederiva , Ubirajara van Kolck

Theoretical uncertainties of various types are discussed for the nucleon-deuteron elastic scattering observables at the incoming nucleon laboratory energies up to 200 MeV. We are especially interested in the statistical errors arising from…

Nuclear Theory · Physics 2018-07-11 R. Skibinski , Yu. Volkotrub , J. Golak , K. Topolnicki , H. Witala

The large values of the singlet and triplet scattering lengths locate the two-nucleon system close to the unitary limit, the limit in which these two values diverge. As a consequence, the system shows a continuous scale invariance which…

Nuclear Theory · Physics 2019-10-09 Mario Gattobigio , Alejandro Kievsky , Michele Viviani

The three-nucleon bound state problem is studied employing a nucleon-nucleon potential obtained from a basic quark-quark interaction in a five-channel Faddeev calculation. The obtained triton binding energy is comparable to those predicted…

High Energy Physics - Phenomenology · Physics 2016-08-16 B. Juliá-Díaz , J. Haidenbauer , A. Valcarce , F. Fernández

The Faddeev equations are solved in momentum space for the trinucleon bound state with the new Tucson-Melbourne $\pi$ and $\rho$ exchange three-nucleon potentials. The three-nucleon potentials are combined with a variety of realistic…

Nuclear Theory · Physics 2008-11-26 A. Stadler , J. Adam , H. Henning , P. U. Sauer

Despite great theoretical efforts the NN interaction can only be determined with a finite precision, implying an error upper bound for nuclear masses. We analyze for the first time the problem of estimating the systematic errors related to…

Nuclear Theory · Physics 2012-03-01 R. Navarro Perez , J. E. Amaro , E. Ruiz Arriola

We solve the Faddeev-Yakubovsky equations for 3N and 4N bound states based on the most modern realistic nucleon-nucleon interactions. We include different realistic 3N forces. It is shown that all 3N force models can remove the underbinding…

Nuclear Theory · Physics 2009-11-06 A. Nogga , H. Kamada , W. Gloeckle

We assume a triple geometric structure for the electromagnetic nuclear interaction. This nuclear electromagnetism is used to calculate the binding energies of the alpha particle and the A=3 isobar nuclides. The approximation for the…

General Physics · Physics 2008-05-06 Gustavo R. Gonzalez-Martin

Faddeev equations for elastic Nd scattering have been solved using modern NN forces combined with the Tucson-Melbourne two-pion exchange three-nucleon force, with a modification thereof closer to chiral symmetry and the Urbana IX…

Nuclear Theory · Physics 2009-11-06 H. Witala , W. Gloeckle , J. Golak , A. Nogga , H. Kamada , R. Skibiński , J. Kuros-Zolnierczuk , .

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

We calculate the triton binding energy with a non-local NN potential that fits the world NN data below 350 MeV with the almost perfect $\chi^2$/datum of 1.03. The non-locality is derived from relativistic meson field theory. The result…

Nuclear Theory · Physics 2008-11-26 R. Machleidt , F. Sammarruca , Y. Song

We propagate the statistical uncertainty of experimental NN scattering data into the binding energy of $^3$H and $^4$He. We also study the sensitivity of the magnetic moment and proton radius of the $^3$H to changes in the NN interaction.…

Nuclear Theory · Physics 2016-01-06 R. Navarro Perez , J. E. Amaro , E. Ruiz Arriola , P. Maris , J. P. Vary

The well-known correlations of low-energy three and four-nucleon observables with a typical three-nucleon scale (e.g., the Tjon line) is extended to light nuclei and nuclear matter. Evidence for the scaling between light nuclei binding…

Nuclear Theory · Physics 2015-05-13 A. Delfino , T. Frederico , V. S. Timoteo , Lauro Tomio
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