Electromagnetic two-body currents of one- and two-pion range
Abstract
Nuclear electromagnetic currents are derived in time-ordered perturbation theory within an effective-field-theory framework including explicit nucleons, $$\Delta$$ 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$$=2 are derived from solutions of the Schr\"odinger equation with the Argonne $$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 $$\Delta$$-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 cro
- Authors:
- Publication Date:
- Research Org.:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 956079
- Report Number(s):
- JLAB-THY-08-885; arXiv:0810.1941; DOE/OR/23177-0499
- DOE Contract Number:
- AC05-060R23177
- Resource Type:
- Journal Article
- Journal Name:
- Physical Review C
- Additional Journal Information:
- Journal Volume: 78
- Country of Publication:
- United States
- Language:
- English
Citation Formats
Pastore, Saori, Schiavilla, Rocco, and Goity, Jose. Electromagnetic two-body currents of one- and two-pion range. United States: N. p., 2008.
Web. doi:10.1103/PhysRevC.78.064002.
Pastore, Saori, Schiavilla, Rocco, & Goity, Jose. Electromagnetic two-body currents of one- and two-pion range. United States. https://doi.org/10.1103/PhysRevC.78.064002
Pastore, Saori, Schiavilla, Rocco, and Goity, Jose. 2008.
"Electromagnetic two-body currents of one- and two-pion range". United States. https://doi.org/10.1103/PhysRevC.78.064002. https://www.osti.gov/servlets/purl/956079.
@article{osti_956079,
title = {Electromagnetic two-body currents of one- and two-pion range},
author = {Pastore, Saori and Schiavilla, Rocco and Goity, Jose},
abstractNote = {Nuclear electromagnetic currents are derived in time-ordered perturbation theory within an effective-field-theory framework including explicit nucleons, $\Delta$ 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 Schr\"odinger 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 $\Delta$-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 cro},
doi = {10.1103/PhysRevC.78.064002},
url = {https://www.osti.gov/biblio/956079},
journal = {Physical Review C},
number = ,
volume = 78,
place = {United States},
year = {Mon Dec 01 00:00:00 EST 2008},
month = {Mon Dec 01 00:00:00 EST 2008}
}
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