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Article
Report number CERN-TH-1589
Title Bounds on the $K_{l3}$ scalar form factor from low-energy K$\pi$ phase shift
Author(s) Bourrely, C (CERN)
Publication 1973
In: Nucl. Phys. B 53 (1973) 289-302
DOI 10.1016/0550-3213(73)90446-X
Subject category Particle Physics - Phenomenology
Abstract Upper and lower bounds on the scalar form factor of K/sub l3/ decay are calculated using the analytic properties of the form factor, the experimental low-energy S-wave K pi phase shift, and an estimate of the propagator Delta (t) of the divergence of the strangeness changing current at zero momentum. The author releases the condition given by the soft-pion theorem on f(m/sub K//sup 2/) that he considered in a previous work. For this reason the new bounds are less restrictive. However they are sufficiently strong to be inconsistent with some experimental data irrespective of the fit used for K pi scattering. (18 refs).

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