Chiral Symmetry Breaking: Meson and Nucleon Masses

Citation

Griffith, Richard William (1969) Chiral Symmetry Breaking: Meson and Nucleon Masses. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/ZP7B-D049. https://resolver.caltech.edu/CaltechTHESIS:03272017-134251237

Abstract

From consideration of the role in current algebra of the equal-time commutator involving an axial vector charge and divergence of the axial vector current, estimates of meson and nucleon scalar density matrix elements are given. The scalar densities, behaving as (3,3*) + (3*,3) under the SU(3) x SU(3) algebra of vector and axial vector charges, participate in the SU(3) x SU(3) non-invariant part of an (abstracted) energy density. The meson scalar density matrix elements are estimated in connection with a Kπ, KK scattering length determination and a relation for the relevant symmetry breaking parameter η which multiplies the octet algebraic scalar piece of the hadronic energy density. An application is given in which a Kπ amplitude expansion, containing the information of a kaon scalar density term, is used in determining the low energy limits of a K_L4 form factor. The estimates for the nucleon scalar density terms are somewhat inconclusive and emphasis is placed on discussion of various dispersive approaches involved.

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