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Abstract
We report the results from a study of the full sample of ∼6.031×107K±→π±π0π0 decays recorded by the NA48/2 experiment at the CERN SPS. As first observed in this experiment, the π0π0 invariant mass (M00) distribution shows a cusp-like anomaly in the region around M00=2m+, where m+ is the charged pion mass. This anomaly has been interpreted as an effect due mainly to the final state charge exchange scattering process π+π−→π0π0 in K±→π±π+π− decay. Fits to the M00 distribution using two different theoretical formulations provide the presently most precise determination of a0−a2, the difference between the ππ S-wave scattering lengths in the isospin I=0 and I=2 states. Higher-order ππ rescattering terms, included in the two formulations, allow also an independent, though less precise, determination of a2.
Details
1 Cavendish Laboratory, University of Cambridge, Cambridge, UK
2 CERN, Genève 23, Switzerland
3 Joint Institute for Nuclear Research, Dubna, Moscow region, Russia
4 The Enrico Fermi Institute, The University of Chicago, Chicago, IL, USA
5 Department of Physics and Astronomy, University of Edinburgh, Edinburgh, UK
6 Dipartimento di Fisica dell’Università e Sezione dell’INFN di Ferrara, Ferrara, Italy
7 Dipartimento di Fisica dell’Università e Sezione dell’INFN di Firenze, Sesto Fiorentino, Italy
8 Sezione dell’INFN di Firenze, Sesto Fiorentino, Italy
9 Institut für Physik, Universität Mainz, Mainz, Germany
10 Department of Physics and Astronomy, Northwestern University, Evanston, IL, USA
11 Dipartimento di Fisica dell’Università e Sezione dell’INFN di Perugia, Perugia, Italy
12 Sezione dell’INFN di Perugia, Perugia, Italy
13 Sezione dell’INFN di Pisa, Pisa, Italy
14 Scuola Normale Superiore e Sezione dell’INFN di Pisa, Pisa, Italy
15 Dipartimento di Fisica dell’Università e Sezione dell’INFN di Pisa, Pisa, Italy
16 DSM/IRFU—CEA Saclay, Gif-sur-Yvette, France
17 Fachbereich Physik, Universität Siegen, Siegen, Germany
18 Sezione dell’INFN di Torino, Torino, Italy
19 Dipartimento di Fisica Sperimentale dell’Università e Sezione dell’INFN di Torino, Torino, Italy
20 Institut für Hochenergiephysik, Österreichische Akademie der Wissenschaften, Wien, Austria





