dorsal/arxiv
View SchemaElectromagnetic structure of A=2 and 3 nuclei and the nuclear current operator
| Authors | L. E. Marcucci, M. Viviani, R. Schiavilla, A. Kievsky, S. Rosati |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0502048 |
| URL | https://arxiv.org/abs/nucl-th/0502048 |
| DOI | 10.1103/PhysRevC.72.014001 |
| Journal | Phys.Rev.C72:014001,2005 |
Abstract
Different models for conserved two- and three-body electromagnetic currents are constructed from two- and three-nucleon interactions, using either meson-exchange mechanisms or minimal substitution in the momentum dependence of these interactions. The connection between these two different schemes is elucidated. A number of low-energy electronuclear observables, including (i) $np$ radiative capture at thermal neutron energies and deuteron photodisintegration at low energies, (ii) $nd$ and $pd$ radiative capture reactions, and (iii) isoscalar and isovector magnetic form factors of $^3$H and $^3$He, are calculated in order to make a comparative study of these models for the current operator. The realistic Argonne $v_{18}$ two-nucleon and Urbana IX or Tucson-Melbourne three-nucleon interactions are taken as a case study. For $A$=3 processes, the bound and continuum wave functions, both below and above deuteron breakup threshold, are obtained with the correlated hyperspherical-harmonics method. Three-body currents give small but significant contributions to some of the polarization observables in the $^2$H($p,\gamma$)$^3$He process and the $^2$H($n,\gamma$)$^3$H cross section at thermal neutron energies. It is shown that the use of a current which did not exactly satisfy current conservation with the two- and three-nucleon interactions in the Hamiltonian was responsible for some of the discrepancies reported in previous studies between the experimental and theoretical polarization observables in $pd$ radiative capture.
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"abstract": "Different models for conserved two- and three-body electromagnetic currents\nare constructed from two- and three-nucleon interactions, using either\nmeson-exchange mechanisms or minimal substitution in the momentum dependence of\nthese interactions. The connection between these two different schemes is\nelucidated. A number of low-energy electronuclear observables, including (i)\n$np$ radiative capture at thermal neutron energies and deuteron\nphotodisintegration at low energies, (ii) $nd$ and $pd$ radiative capture\nreactions, and (iii) isoscalar and isovector magnetic form factors of $^3$H and\n$^3$He, are calculated in order to make a comparative study of these models for\nthe current operator. The realistic Argonne $v_{18}$ two-nucleon and Urbana IX\nor Tucson-Melbourne three-nucleon interactions are taken as a case study. For\n$A$=3 processes, the bound and continuum wave functions, both below and above\ndeuteron breakup threshold, are obtained with the correlated\nhyperspherical-harmonics method. Three-body currents give small but significant\ncontributions to some of the polarization observables in the\n$^2$H($p,\\gamma$)$^3$He process and the $^2$H($n,\\gamma$)$^3$H cross section at\nthermal neutron energies. It is shown that the use of a current which did not\nexactly satisfy current conservation with the two- and three-nucleon\ninteractions in the Hamiltonian was responsible for some of the discrepancies\nreported in previous studies between the experimental and theoretical\npolarization observables in $pd$ radiative capture.",
"arxiv_id": "nucl-th/0502048",
"authors": [
"L. E. Marcucci",
"M. Viviani",
"R. Schiavilla",
"A. Kievsky",
"S. Rosati"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.72.014001",
"journal_ref": "Phys.Rev.C72:014001,2005",
"title": "Electromagnetic structure of A=2 and 3 nuclei and the nuclear current operator",
"url": "https://arxiv.org/abs/nucl-th/0502048"
},
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