| Home > Bounds on the $K_{l3}$ scalar form factor from low-energy K$\pi$ phase shift |
| 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). |