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Nuclear

Physics Theses & Dissertations

Chiral effective field theory

Publication Year

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Full-Text Articles in Physical Sciences and Mathematics

Nuclear Chiral Axial Currents And Applications To Few-Nucleon Systems, Alessandro Baroni Jul 2017

Nuclear Chiral Axial Currents And Applications To Few-Nucleon Systems, Alessandro Baroni

Physics Theses & Dissertations

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 two-nucleon potential and one- and two-nucleon 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 …


Studies Of Two-Nucleon Interactions And Few-Body Electromagnetic Structure In Chiral Effective Field Theory, Maria Piarulli Jul 2015

Studies Of Two-Nucleon Interactions And Few-Body Electromagnetic Structure In Chiral Effective Field Theory, Maria Piarulli

Physics Theses & Dissertations

A coordinate-space nucleon-nucleon potential is constructed in chiral effective field theory (χEFT) retaining pions, nucleons and Δ-isobars as explicit degrees of freedom. The calculation of the potential is carried out by including one-and two-pion-exchange contributions up to next-to-next-to-leading order (N2LO) and contact interactions tip to next-to-next-to-next-to-leading order (N3LO). The low-energy constants multiplying these contact interactions are fitted to the 2013 Granada database in the laboratory-energy range 0–300 MeV. Three versions of this chiral potential, corresponding to three different cutoffs, have been developed. The cutoff regularizes the one- and two-pion exchange as well as the contact part of the potential. A …