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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+ππ0π0 in K±π±π+π decay. Fits to the M00 distribution using two different theoretical formulations provide the presently most precise determination of a0a2, 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

Title
Determination of the S-wave π π scattering lengths from a study of K ±π ± π 0 π 0 decays
Author
Batley, J R 1 ; Culling, A J 1 ; Kalmus, G 1 ; Lazzeroni, C 1 ; Munday, D J 1 ; Slater, M W 1 ; Wotton, S A 1 ; Arcidiacono, R 2 ; Bocquet, G 2 ; Cabibbo, N 2 ; Ceccucci, A 2 ; Cundy, D 2 ; Falaleev, V 2 ; Fidecaro, M 2 ; Gatignon, L 2 ; Gonidec, A 2 ; Kubischta, W 2 ; Norton, A 2 ; Maier, A 2 ; Patel, M 2 ; Peters, A 2 ; Balev, S 3 ; Frabetti, P L 3 ; Goudzovski, E 3 ; Hristov, P 3 ; Kekelidze, V 3 ; Kozhuharov, V 3 ; Litov, L 3 ; Madigozhin, D 3 ; Marinova, E 3 ; Molokanova, N 3 ; Polenkevich, I 3 ; Yu Potrebenikov 3 ; Stoynev, S 3 ; Zinchenko, A 3 ; Monnier, E 4 ; Swallow, E 4 ; Winston, R 4 ; Rubin, P 5 ; Walker, A 5 ; Baldini, W 6 ; A Cotta Ramusino 6 ; Dalpiaz, P 6 ; Damiani, C 6 ; Fiorini, M 6 ; Gianoli, A 6 ; Martini, M 6 ; Petrucci, F 6 ; Savrié, M 6 ; Scarpa, M 6 ; Wahl, H 6 ; Calvetti, M 7 ; Iacopini, E 7 ; Ruggiero, G 7 ; Bizzeti, A 8 ; Lenti, M 8 ; Veltri, M 8 ; Behler, M 9 ; Eppard, K 9 ; Kleinknecht, K 9 ; Marouelli, P 9 ; Masetti, L 9 ; Moosbrugger, U 9 ; C Morales Morales 9 ; Renk, B 9 ; Wache, M 9 ; Wanke, R 9 ; Winhart, A 9 ; Coward, D 10 ; Dabrowski, A 10 ; T Fonseca Martin 10 ; Shieh, M 10 ; Szleper, M 10 ; Velasco, M 10 ; Wood, M D 10 ; Anzivino, G 11 ; Imbergamo, E 11 ; Nappi, A 11 ; Piccini, M 11 ; Raggi, M 11 ; Valdata-Nappi, M 11 ; Cenci, P 12 ; Pepe, M 12 ; Petrucci, M C 12 ; Cerri, C 13 ; Fantechi, R 13 ; Collazuol, G 14 ; DiLella, L 14 ; Lamanna, G 14 ; Mannelli, I 14 ; Michetti, A 14 ; Costantini, F 15 ; Doble, N 15 ; Fiorini, L 15 ; Giudici, S 15 ; Pierazzini, G 15 ; Sozzi, M 15 ; Venditti, S 15 ; Bloch-Devaux, B 16 ; Cheshkov, C 16 ; Chèze, J B 16 ; De Beer, M 16 ; Derré, J 16 ; Marel, G 16 ; Mazzucato, E 16 ; Peyaud, B 16 ; Vallage, B 16 ; Holder, M 17 ; Ziolkowski, M 17 ; Biino, C 18 ; Cartiglia, N 18 ; Marchetto, F 18 ; Bifani, S 19 ; Clemencic, M 19 ; S Goy Lopez 19 ; Dibon, H 20 ; Jeitler, M 20 ; Markytan, M 20 ; Mikulec, I 20 ; Neuhofer, G 20 ; Widhalm, L 20 

 Cavendish Laboratory, University of Cambridge, Cambridge, UK 
 CERN, Genève 23, Switzerland 
 Joint Institute for Nuclear Research, Dubna, Moscow region, Russia 
 The Enrico Fermi Institute, The University of Chicago, Chicago, IL, USA 
 Department of Physics and Astronomy, University of Edinburgh, Edinburgh, UK 
 Dipartimento di Fisica dell’Università e Sezione dell’INFN di Ferrara, Ferrara, Italy 
 Dipartimento di Fisica dell’Università e Sezione dell’INFN di Firenze, Sesto Fiorentino, Italy 
 Sezione dell’INFN di Firenze, Sesto Fiorentino, Italy 
 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 
Pages
589-608
Publication year
2009
Publication date
Dec 2009
Publisher
Springer Nature B.V.
ISSN
14346044
e-ISSN
14346052
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2294029392
Copyright
The European Physical Journal C is a copyright of Springer, (2009). All Rights Reserved.