Nuclear chiral axial currents and applications to fewnucleon systems
Abstract
This Thesis is divided into three main parts. The first part discusses basic aspects of chiral effective field theory and the formalism, based on time ordered perturbation theory, used to to derive the nuclear potentials and currents from the chiral Lagrangians. The second part deals with the actual derivation, up to one loop, of the twonucleon potential and one and twonucleon weak axial charge and current. In both derivations ultraviolet divergences generated by loop corrections are isolated using dimensional regularization. The resulting axial current is finite and conserved in the chiral limit, while the axial charge requires renormalization. A complete set of contact terms for the axial charge up to the relevant order in the power counting is constructed. The third part of this Thesis discusses two applications: (i) the calculation of the GamowTeller matrix element of tritium, used to constrain the single lowenergy constant entering the axial current; (ii) the calculation of neutrinodeuteron inclusive cross sections at low energies. These results have confirmed previous predictions obtained in phenomenological approaches. These latter studies have played an important role in the analysis and interpretation of experiments at the Sudbury Neutrino Observatory.
 Authors:
 Old Dominion Univ., Norfolk, VA (United States)
 Publication Date:
 Research Org.:
 Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Nuclear Physics (NP) (SC26)
 OSTI Identifier:
 1409027
 Report Number(s):
 JLABTHY172589; DOE/OR/231774269
 DOE Contract Number:
 AC0506OR23177
 Resource Type:
 Thesis/Dissertation
 Country of Publication:
 United States
 Language:
 English
 Subject:
 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
Citation Formats
Baroni, Alessandro. Nuclear chiral axial currents and applications to fewnucleon systems. United States: N. p., 2017.
Web. doi:10.2172/1409027.
Baroni, Alessandro. Nuclear chiral axial currents and applications to fewnucleon systems. United States. doi:10.2172/1409027.
Baroni, Alessandro. 2017.
"Nuclear chiral axial currents and applications to fewnucleon systems". United States.
doi:10.2172/1409027. https://www.osti.gov/servlets/purl/1409027.
@article{osti_1409027,
title = {Nuclear chiral axial currents and applications to fewnucleon systems},
author = {Baroni, Alessandro},
abstractNote = {This Thesis is divided into three main parts. The first part discusses basic aspects of chiral effective field theory and the formalism, based on time ordered perturbation theory, used to to derive the nuclear potentials and currents from the chiral Lagrangians. The second part deals with the actual derivation, up to one loop, of the twonucleon potential and one and twonucleon weak axial charge and current. In both derivations ultraviolet divergences generated by loop corrections are isolated using dimensional regularization. The resulting axial current is finite and conserved in the chiral limit, while the axial charge requires renormalization. A complete set of contact terms for the axial charge up to the relevant order in the power counting is constructed. The third part of this Thesis discusses two applications: (i) the calculation of the GamowTeller matrix element of tritium, used to constrain the single lowenergy constant entering the axial current; (ii) the calculation of neutrinodeuteron inclusive cross sections at low energies. These results have confirmed previous predictions obtained in phenomenological approaches. These latter studies have played an important role in the analysis and interpretation of experiments at the Sudbury Neutrino Observatory.},
doi = {10.2172/1409027},
journal = {},
number = ,
volume = ,
place = {United States},
year = 2017,
month = 8
}

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