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Bounds on chiral-symmetry breaking and slope parameters
Phys. Rev. D 9, 2167 – Published 1 April, 1974
DOI: https://doi.org/10.1103/PhysRevD.9.2167
Abstract
Using the rigorous bounds of Li and Pagels and Okubo and the broken SU(3) × SU(3) model of Glashow and Weinberg and Gell-Mann, Oakes, and Renner, we derive bounds on the symmetry-breaking parameters which measure the invariance of the Hamiltonian and the vacuum under SU(3). We also obtain bounds on , the slope of the spin-0 form factor in decay. Our bounds on , though inconsistent with the experimental value obtained by a quadratic fit to the form factors, are consistent with the value obtained by a linear fit. Some theoretical implications of our results are discussed.
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