Chiral Corrections to Hyperon Vector Form Factors

Details Chiral Corrections to Hyperon Vector Form Factors Chiral Corrections to Hyperon Vector Form Factors

1993-01-08

arxiv.org/abs/hep-ph/9301219v2

Phys.Rev. D47 (1993) 4975-4980

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, one figure available by FAX, LBL-33435. Changes: axial-->vector in listing title (!), minor clarifications in text;

Scientific paper

10.1103/PhysRevD.47.4975

We show that the leading $SU(3)$-breaking corrections to the $\Delta S = 1$ $f_1$ vector form factors of hyperons are $O(m_s)$ and $O(m_s^{3/2})$, and are expected to be $\sim 20$--$30\%$ by dimensional analysis. This is consistent with the Ademollo--Gatto theorem, in a sense that we explain. We compute the $O(m_s)$ corrections and a subset of the $O(m_s^{3/2})$ corrections using an effective lagrangian in which the baryons are treated as heavy particles. All of these corrections are surprisingly small, $\sim 5\%$; combining them, we obtain $\sim 5$--$10\%$ corrections. The pattern of corrections is very different than that predicted by quark models.

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