Pion-Lambda-Sigma Coupling Extracted from Hyperonic Atoms

Abstract

The latest measurements of the atomic level width in Sigma-hyperonic Pb atom offer the most accurate datum in the region of low-energy Sigma-hyperon physics. Atomic widths are due to the conversion of Sigma-nucleon into Lambda-nucleon. In high angular momentum states this conversion is dominated by the one-pion exchange. A joint analysis of the data of the scattering of negative-Sigma on proton converting into a Lambda and a neutron and of the atomic widths allows to extract a pseudovector pion-hyperon-Sigma coupling constant of 0.048 with a statistical error of +-0.005 and a systematic one of +-0.004. This corresponds to a pseudoscalar coupling constant of 13.3 with a statistical uncertainty of 1.4 and a systematic one of 1.1.

12 pages, 1 figure, Use of Revtex.sty

Cited by in corpus (10)

• Relativistic chiral SU(3) symmetry, large N_c sum rules and meson-baryon scattering
• Dynamical coupled-channel model of kaon-hyperon interactions
• Chiral SU(3) dynamics and $\Lambda$-hyperons in the nuclear medium
• Nuclear surface studies with antiprotonic atom X-rays
• Chiral dynamics of $\Sigma$-hyperons in the nuclear medium
• ${\Sigma }^{-}p$ emission rates in $K^{-}$ absorptions at rest on ${}^6$Li, ${}^7$Li, ${}^9$Be, ${}^{13}$C and ${}^{16}$O
• Antihyperon polarization in high-energy inclusive reactions
• Hyperon scalar form factors
• $\pi \Xi$ phase shifts and CP Violation in $\Omega \to \pi \Xi$ Decay
• Decays, contact P-wave interactions and hyperfine structure in Omega- exotic atoms