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Title: 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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