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Measurement of the πK atom lifetime and the πK scattering length

Physical review. D/Physical review. D.2017Vol. 96(5)

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B. Adeva, L. Afanasyev, Y. Allkofer, C. Amsler, A. Anania, S. Aogaki, A. Benelli, V. Brekhovskikh, T. Čechák, M. Chiba, P. Chliapnikov, D. Drijard, D. Duda, D. Dumitriu, P. Federičová, D. Flueraşu, A. Gorin, O.E. Gorchakov, K. Gritsay, C. Guaraldo, M. Gugiu, M. Hansroul, Z. Hons, Shin Horikawa, Yoshihisa Iwashita, V.V. Karpukhin, J. Klusoň, M. Kobayashi, V.V. Kruglov, L. Kruglova, A. Kulikov, E. Kulish, A.V. Kuptsov, A. Lamberto, A. Lanaro, R. Lednický, C. Mariñas, J. Martincik, L.L. Nemenov, M. Nikitin, K. Okada, V. Olchevskii, M. Pentia, A. Penzo, M. Pló, P. Prusa, G.F. Rappazzo, A. Romero Vidal, A. V. Ryazantsev, V.I. Rykalin, J. Saborido, J. Schacher, A. Sidorov, J. Smolík, F. Takéutchi, L. Tauscher, T. Trojek, S. Trusov, T. Urban, T. Vrba, V. Yazkov, Y. Yoshimura, M. Zhabitsky, P. Zrelov

Abstract

After having announced the statistically significant observation ($5.6\ensuremath{\sigma}$) of the new exotic $\ensuremath{\pi}K$ atom, the DIRAC experiment at the CERN proton synchrotron presents the measurement of the corresponding atom lifetime, based on the full $\ensuremath{\pi}K$ data sample: $\ensuremath{\tau}=(5.{5}_{\ensuremath{-}2.8}^{+5.0})\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}15}\text{ }\text{ }\mathrm{s}$. By means of a precise relation ($\ensuremath{\approx}1%$) between atom lifetime and scattering length, the following value for the $S$-wave isospin-odd $\ensuremath{\pi}K$ scattering length ${a}_{0}^{\ensuremath{-}}=\frac{1}{3}({a}_{1/2}\ensuremath{-}{a}_{3/2})$ has been derived: $|{a}_{0}^{\ensuremath{-}}|=(0.07{2}_{\ensuremath{-}0.020}^{+0.031}){M}_{\ensuremath{\pi}}^{\ensuremath{-}1}$.

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Abstract

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