Electromagnetic two-body currents of one- and two-pion range

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dc.creatorPastore, S.
dc.creatorSchiavilla, R.
dc.creatorGoity, J. L.
dc.date2008-10-10
dc.date2008-12-01
dc.date.accessioned2026-07-07T12:27:02Z
dc.date.available2026-07-07T12:27:02Z
dc.descriptionNuclear electromagnetic currents are derived in time-ordered perturbation theory within an effective-field-theory framework including explicit nucleons, $Δ$ isobars, and pions up to one loop, or N$^3$LO. The currents obtained at N$^2$LO, {\it i.e.} ignoring loop corrections, are used in a study of neutron radiative captures on protons and deuterons at thermal energies, and of $A$=2 and 3 nuclei magnetic moments. The wave functions for $A$=2 are derived from solutions of the Schrödinger equation with the Argonne $v_{18}$ (AV18) or CD-Bonn (CDB) potentials, while those for $A$=3 are obtained with the hyperspherical-harmonics-expansion method from a realistic Hamiltonian including, in addition to the AV18 or CDB two-nucleon, also a three-nucleon potential. With the strengths of the $Δ$-excitation currents occurring at N$^2$LO determined to reproduce the $n$-$p$ cross section and isovector combination of the trinucleon magnetic moments, we find that the cross section and photon circular polarization parameter, measured in $n$-$d$ and $\vec{n}$-$d$ processes, are underpredicted by theory, for example the cross section by (11--38)% as the cutoff is increased from 500 to 800 MeV. A complete analysis of the results, in particular their large cutoff dependence, is presented.
dc.identifierhttps://arxiv.org/abs/0810.1941
dc.identifierhttp://arxiv.org/abs/0810.1941
dc.identifierPhys.Rev.C78:064002,2008
dc.identifierdoi:10.1103/PhysRevC.78.064002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215073
dc.subjectNuclear Theory
dc.titleElectromagnetic two-body currents of one- and two-pion range
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