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In this work we investigate the so-called model-space Brueckner-Hartree-Fock (MBHF) approach for nuclear matter as well as for neutron matter and the extension of this which includes the particle-particle and hole-hole (PPHH) diagrams. A…

Nuclear Theory · Physics 2009-10-30 L. Engvik , E. Osnes , M. Hjorth-Jensen , T. T. S. Kuo

We show that the tail of the chiral two-pion exchange nucleon-nucleon potential is proportional to the $\pi N$ scalar form factor and discuss how it can be translated into effective scalar meson interactions. We then construct a kernel for…

Nuclear Theory · Physics 2009-11-06 C. M. Maekawa , J. C. Pupin , M. R. Robilotta

A meson exchange model of the $\pi\pi$ interaction which fits free $\pi\pi$ scattering data is used to calculate the interactions of pions in nuclear matter as a function of nuclear density. Polarization of the nuclear medium by the pions…

Nuclear Theory · Physics 2009-10-30 R. Rapp , J. W. Durso , J. Wambach

The nucleon-nucleon (NN) t-matrix is calculated directly as function of two vector momenta for different realistic NN potentials. To facilitate this a formalism is developed for solving the two-nucleon Lippmann-Schwinger equation in…

Nuclear Theory · Physics 2009-11-06 I. Fachruddin , Ch. Elster , W. Glöckle

A new generation of local three-body potentials providing an excellent description of the properties of light nuclei, as well as of the neutron-deuteron doublet scattering length, has been recently derived. We have performed a comparative…

Nuclear Theory · Physics 2015-05-30 Alessandro Lovato , Omar Benhar , Stefano Fantoni , Kevin E. Schmidt

Nucleus-nucleus optical potentials are constructed from an energy density functional approach first outlined by Brueckner et al. The interaction term of the energy density functional comes from the complex nucleon self-energy computed in…

Nuclear Theory · Physics 2022-10-07 T. R. Whitehead

A general prescription for the construction of $\pi \pi$ interaction potentials which preserve scattering length constraints from chiral symmetry when iterated in scattering equations is derived. The prescription involves only minor…

Nuclear Theory · Physics 2009-10-28 R. Rapp , J. W. Durso , J. Wambach

We present a complete calculation of nucleon-deuteron scattering as well as ground and low-lying excited states of light nuclei in the mass range A=3-16 up through next-to-next-to-leading order in chiral effective field theory using…

We study momentum distributions and short-range correlation probabilities in $A$=2 and $A$=3 systems. First, we show results with phenomenological and meson-theoretic two- and three-nucleon forces to verify consistency with previous similar…

Nuclear Theory · Physics 2019-03-27 L. E. Marcucci , F. Sammarruca , M. Viviani , R. Machleidt

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

We present predictions for the equation of state of symmetric nuclear and pure neutron matter based on recent high-quality nucleon-nucleon potentials from leading order to fifth order in the chiral expansion. We include as well the…

Nuclear Theory · Physics 2018-07-19 F. Sammarruca , L. E. Marcucci , L. Coraggio , J. W. Holt , N. Itaco , R. Machleidt

It is shown how nucleon-nucleon potentials can be defined in N dimensions, using dimensional regularization to continue amplitudes. This provides an easy way to separate out contact ($\delta$-function) terms arising from renormalization. An…

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

We assume a triple geometric structure for the electromagnetic nuclear interaction. This nuclear electromagnetism is used to calculate the binding energies of the deuteron and the neutron. The corresponding Pauli quantum wave equation in a…

General Physics · Physics 2008-03-06 Gustavo R. Gonzalez-Martin

The notion of interacting elementary particles for low and medium energy nuclear physics is associated with definitions of potential operators. In principle, this potential carries the rich substructure consisting of quarks and gluons and…

Nuclear Theory · Physics 2009-10-30 L. Jaede , M. Sander , H. V. von Geramb

Two-nucleon momentum distributions are calculated for the ground states of 3He and 4He as a function of the nucleons' relative and total momenta. We use variational Monte Carlo wave functions derived from a realistic Hamiltonian with two-…

Nuclear Theory · Physics 2008-11-26 R. B. Wiringa , R. Schiavilla , Steven C. Pieper , J. Carlson

The momentum distributions of partons in bound nucleons are known to depend significantly on the size of the nucleus. The Fourier transform of the momentum ($\xbj$) distribution measures the overlap between Fock components of the nucleon…

High Energy Physics - Phenomenology · Physics 2010-11-19 P. Hoyer , M. Vänttinen

We introduce new semilocal two-nucleon potentials up to fifth order in the chiral expansion. We employ a simple regularization approach for the pion-exchange contributions which (i) maintains the long-range part of the interaction, (ii) is…

Nuclear Theory · Physics 2018-07-04 P. Reinert , H. Krebs , E. Epelbaum

In this paper, we have applied a three-dimensional approach for calculation of the relativistic nucleon-nucleon potential. The quadratic operator relation between the non-relativistic and the relativistic nucleon-nucleon interactions is…

Nuclear Theory · Physics 2017-02-07 M. R. Hadizadeh , M. Radin

We present a practical method to solve the proton-deuteron scattering problem at energies above the three-body breakup threshold, in which we treat three-body integral equations in coordinate space accommodating long-range proton-proton…

Nuclear Theory · Physics 2015-05-14 S. Ishikawa

A theoretical model able to describe fragmentation reactions of three--body halo nuclei on different targets, from light to heavy, is used to compute neutron and core momentum distributions. Both Coulomb and nuclear interactions are…

Nuclear Theory · Physics 2009-11-06 E. Garrido , D. V. Fedorov , A. S. Jensen