Measurement of the $πK$ atom lifetime and the $πK$ scattering length

Abstract

After having announced the statistically significant observation (5.6~$σ$) of the new exotic $πK$ atom, the DIRAC experiment at the CERN proton synchrotron presents the measurement of the corresponding atom lifetime, based on the full $πK$ data sample: $τ= (5.5^{+5.0}_{-2.8}) \cdot 10^{-15}s$. By means of a precise relation ($<1\%$) between atom lifetime and scattering length, the following value for the S-wave isospin-odd $πK$ scattering length $a_0^{-}~=~\frac{1}{3}(a_{1/2}-a_{3/2})$ has been derived: $\left|a_0^-\right| = (0.072^{+0.031}_{-0.020}) M_π^{-1}$.

18 pages, 17 figures