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Related papers: Three-nucleon contact forces in the Jacobi partial…

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We study a non-relativistic particle subject to a three-dimensional spherical potential consisting of a finite well and a radial $\delta$-$\delta'$ contact interaction at the well edge. This contact potential is defined by appropriate…

Nuclear Theory · Physics 2021-05-07 C. Romaniega , M. Gadella , R. M. Id Betan , L. M. Nieto

We argue that precise measurements of charge and magnetic radii can meaningfully constrain diquark models of the nucleon. We construct properly symmetrized, nonrelativistic three-quark wave functions that interpolate between the limits of a…

High Energy Physics - Phenomenology · Physics 2009-11-11 Carl E. Carlson , Christopher D. Carone , Herry J. Kwee , Richard F. Lebed

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

This work focuses on extracting nuclear contact coefficients for \( A = 2 \), \( A = 3 \) and \( A = 4 \) nuclei within the Generalized Contact Formalism framework. We investigate the universality of these coefficients across different…

Nuclear Theory · Physics 2025-01-31 Eleonora Proietti , Laura Elisa Marcucci , Michele Viviani

We consider the three-nucleon system within an effective theory with contact interactions at leading order in the large scattering length. We calculate the charge form factor of the triton at low momentum transfer and extract the triton…

Nuclear Theory · Physics 2009-11-11 L. Platter , H. -W. Hammer

The electromagnetic form factors of the three-nucleon bound states were calculated in Complete Impulse Approximation in the framework of the Covariant Spectator Theory for the new high-precision two-nucleon interaction models WJC-1 and…

Nuclear Theory · Physics 2010-04-06 Sérgio Alexandre Pinto , Alfred Stadler , Franz Gross

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

Three-neutron resonances are investigated using realistic nucleon-nucleon interaction models. The resonance pole trajectories are explored by first adding an additional interaction to artificially bind the three-neutron system and then…

Nuclear Theory · Physics 2007-05-23 R. Lazauskas , J. Carbonell

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

We investigate generalized potentials for a mean-field density functional theory of a three-phase contact line. Compared to the symmetrical potential introduced in our previous article [1], the three minima of these potentials form a small…

Statistical Mechanics · Physics 2013-02-12 Chang-You Lin , Michael Widom , Robert F. Sekerka

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

A density-dependent two-nucleon potential has been derived in the formalism of correlated basis function. The effects of 3-particle interactions has been included by integrating out the degrees of freedom of the third nucleon. The potential…

We obtain wave functions for 2 protons and 2 neutrons in the g_{9/2} shell expressed as column vectors with amplitudes D(J_{p},J_{n}). When we use a quadrupole-quadrupole interaction (Q.Q) we get, in many cases, a very strong overlap with…

Nuclear Theory · Physics 2015-03-30 Larry Zamick , Matthew Harper

The nuclei $^4$He, $^8$Be, $^{12}$C and $^{16}$O have been studied starting from nucleon-nucleon interactions of $v_4$ type. The wave function is built as the product of three terms, a Jastrow correlation factor, a linear correlation factor…

Nuclear Theory · Physics 2007-05-23 E Buendia , F J Galvez , J Praena , A Sarsa

We present new calculations of the $\alpha$-particle which are based on the most modern nucleon-nucleon interactions alone and combined with the Tucson-Melbourne or the Urbana IX three-nucleon interaction. Results for the binding energies…

Nuclear Theory · Physics 2009-07-09 A. Nogga , H. Kamada , W. Gloeckle

We analyze the subleading three-nucleon contact interaction terms at N4LO in chiral effective field theory. We perform the isospin projection into $T=1/2$ and $T=3/2$ states, and find that only eleven of the thirteen operators contribute in…

Nuclear Theory · Physics 2026-01-28 Elena Filandri , Luca Girlanda , Ylenia Capitani

We introduce an algorithm to obtain coefficients of fractional parentage for light $p$-shell nuclei. The coefficients enable to use Jacobi coordinates in no-core shell model calculations separating off the center-of-mass motion. Fully…

Nuclear Theory · Physics 2016-04-26 S. Liebig , U. -G. Meißner , A. Nogga

A brief excursion into the three-body problem in quantum mechanics is presented for graduate students or researchers in nuclear physics. Starting from single-particle coordinates, the three-body Schr\"{o}dinger equation is systematically…

Nuclear Theory · Physics 2026-02-17 Emile Meoto

We obtain a minimal form of the two-derivative three-nucleon contact Lagrangian, by imposing all constraints deriving from discrete symmetries, Fierz identities and Poincare' covariance. The resulting interaction, depending on 13 unknown…

Nuclear Theory · Physics 2020-05-11 L. Girlanda , A. Kievsky , M. Viviani

We study the three nucleon force in the triton channel using dynamical clover fermion lattice QCD. The Nambu-Bethe-Salpeter wave function is utilized to obtain the potentials among three nucleons. Since the straightforward calculation is…

High Energy Physics - Lattice · Physics 2010-11-03 T. Doi , for HAL QCD Collaboration