Realistic models of pion-exchange three-nucleon interactions

dc.creatorPieper, Steven C.
dc.creatorPandharipande, V. R.
dc.creatorWiringa, R. B.
dc.creatorCarlson, J.
dc.date2001-02-01
dc.date2001-04-03
dc.date.accessioned2026-07-07T11:32:34Z
dc.date.available2026-07-07T11:32:34Z
dc.descriptionWe 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. The models have five parameters: the four strengths and the short-range cutoff. The 17 fitted energies are insufficient to determine all of them uniquely. We consider five models; they reproduce the observed energies with an rms error < 1% when used together with the Argonne v18 two-nucleon interaction. In one of the models the pi-N S-wave scattering interaction is set to zero; in all others it has the strength suggested by chiral effective field theory. One model also assumes that the pi-N P-wave scattering interaction has the strength suggested by 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 AV18 interaction. The effect of relativistic boost correction is estimated. Results obtained with only Argonne v8' and v18 interactions are also reported. In addition, we present results for 7- and 8-body neutron drops in external potential wells.
dc.description36 pages, 3 figures Revised version corrects errors in A=3,4 AV18/UIX numbers
dc.identifierhttps://arxiv.org/abs/nucl-th/0102004
dc.identifierhttp://arxiv.org/abs/nucl-th/0102004
dc.identifierPhys.Rev.C64:014001,2001
dc.identifierdoi:10.1103/PhysRevC.64.014001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/197642
dc.subjectNuclear Theory
dc.titleRealistic models of pion-exchange three-nucleon interactions
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