Realistic models of pion-exchange three-nucleon interactions

By S. Pieper, V. Pandharipande, R. Wiringa, J. Carlson. 2001

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We present realistic models of pion-exchange three-nucleon interactions obtained by fitting the energies of all the 17 bound or narrow states of 3{<=}A{<=}8 nucleons, calculated with less than 2% error using the Green's function Monte Carlo method. The models contain two-pion-exchange terms due to {pi}N scattering in S and P waves, three-pion-exchange terms due to ring diagrams with one {Delta} in the intermediate states, and a phenomenological repulsive term to take into account relativistic effects, the suppression of the two-pion-exchange two-nucleon interaction by the third nucleon, and other effects. The models have five parameters, consisting of the strength of the four interactions and the short-range cutoff. The 17 fitted energies are insufficient to determine all of them uniquely. We consider five models, each having three adjustable parameters and assumed values for the other two. They reproduce the observed energies with an rms error <1% when used together with the Argonne v{sub 18} two-nucleon interaction. In one of the models the {pi}N S-wave scattering interaction is set to zero; in all others it is assumed to have the strength suggested by chiral effective-field theory. One of the models also assumes that the {pi}N P-wave scattering interaction has the strength suggested bymore » effective-field theories, and the cutoff is adjusted to fit the data. In all other models the cutoff is taken to be the same as in the v{sub 18} interaction. The effect of relativistic boost correction to the two-nucleon interaction on the strength of the repulsive three-nucleon interaction is estimated. Many calculated properties of A{<=}8 nuclei, including radii, magnetic dipole, and electric quadrupole moments, isobaric analog energy differences, etc., are tabulated. Results obtained with only Argonne v{sub 8}' and v{sub 18} interactions are also reported. In addition, we present results for seven- and eight-body neutron drops in external potential wells.« less

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/6bc8bd9593bd5df81d266e53696a1ec006e1c666

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Citations in the corpus

Solar fusion cross sections II: the pp chain and CNO cycles (2010, background): “The high quality of the QMC predictions for energies of bound states and sharp resonances in nuclei with A ≤ 12, and for charge radii, electromagnetic moments, and other observables, has been thoroughly established (Pieper et al., 2001, 2002, 2004).”
The shell model as a unified view of nuclear structure (2004, background): “…the No Core Shell Model (NCSM) calculations of Navrátil and Ormand (2002) and Caurier et al. (2002), confirmed by Pieper, Varga, and Wiringa (2002), who also show that the problems can be remedied to a large extent by introducing the new Illinois 3b potentials developed by Pieper et al. (2001).”
THE DENSE MATTER EQUATION OF STATE FROM NEUTRON STAR RADIUS AND MASS MEASUREMENTS (2015, background): “…that the threebody interactions in pure neutron matter are always repulsive (J. Carlson, private communication); including their contributions serves to increase the pressure (see, e.g., Pieper et al. 2001 and Gandolfi et al. 2012, for pure neutron matter; see also Figure 3 of Akmal et al. 1998).”
Pairing in Nuclear Systems: From Neutron Stars to Finite Nuclei (2002, background): “As shown in e.g., (Pieper et al., 2001; Pudliner et al., 1997, 1995), these difficulties are essentially related to the absence of a real three-body interaction.”