Determination of the S-wave $\pi \pi$ scattering lengths from a study of $K^{\pm} \to \pi^{\pm} \pi^{0} \pi^{0}$ decays

Batley, J.R.; Cheze, J.B.; Derre, J.; Goudzovski, E.; Cundy, D.; Cartiglia, N.; Lazzeroni, C.; Mazzucato, E.; Calvetti, M.; Doble, N.; Coward, D.; Maier, A.; De Beer, M.; Dibon, H.; Scarpa, M.; Hristov, P.; Fonseca Martin, T.; Kleinknecht, K.; Ruggiero, G.; Cheshkov, C.; Kubischta, W.; Costantini, F.; Giudici, S.; Monnier, E.; Fiorini, L.; Di Lella, L.; Dalpiaz, P.; Behler, M.; Ceccucci, A.; Goy Lopez, S.; Veltri, M.; Gatignon, L.; Pepe, M.; Peyaud, B.; Gonidec, A.; Michetti, A.; Sozzi, M.; Fidecaro, M.; Norton, A.; Walker, A.; Mannelli, I.; Martini, M.; Szleper, M.; Shieh, M.; Iacopini, E.; Eppard, K.; Anzivino, G.; Raggi, M.; Winhart, A.; Kozhuharov, V.; Lamanna, G.; Holder, M.; Marchetto, F.; Cotta Ramusino, A.; Wotton, S.A.; Fiorini, M.; Wahl, H.; Winston, R.; Mikulec, I.; Marel, G.; Frabetti, P.L.; Bifani, S.; Imbergamo, E.; Wache, M.; Morales-Morales, C.; Markytan, M.; Peters, A.; Vallage, B.; Piccini, M.; Masetti, L.; Wanke, R.; Slater, M.W.; Polenkevich, I.; Stoynev, S.; Valdata-Nappi, M.; Swallow, E.; Cabibbo, N.; Litov, L.; Zinchenko, A.; Munday, D.J.; Nappi, A.; Kalmus, G.; Moosbrugger, U.; Collazuol, G.; Pierazzini, G.; Marouelli, P.; Petrucci, F.; Savrie, M.; Bloch-Devaux, B.; Velasco, M.; Balev, S.; Marinova, E.; Biino, C.; Gianoli, A.; Patel, M.; Renk, B.; Damiani, C.; Bocquet, G.; Baldini, W.; Neuhofer, G.; Cenci, P.; Cerri, C.; Jeitler, M.; Wood, M.D.; Falaleev, V.; Petrucci, M.C.; Lenti, M.; Kekelidze, V.; Culling, A.J.; Clemencic, M.; Potrebenikov, Yu.; Dabrowski, A.; Fantechi, R.; Bizzeti, A.; Madigozhin, D.; Molokanova, N.; Arcidiacono, R.; Rubin, P.; Widhalm, L.; Venditti, S.; Ziolkowski, M.

doi:10.1140/epjc/s10052-009-1171-3

Article
Report number	arXiv:0912.2165 ; SLAC-PUB-14899
Title	Determination of the S-wave $\pi \pi$ scattering lengths from a study of $K^{\pm} \to \pi^{\pm} \pi^{0} \pi^{0}$ decays
Preprint title	Determination of the $\pi \pi$ scattering lengths from a study of $K^{\pm} \to \pi^{\pm} \pi^{0} \pi^{0}$ decays
Author(s)	Batley, J.R. (Cambridge U.) ; Culling, A.J. (Cambridge U.) ; Kalmus, G. (Cambridge U.) ; Lazzeroni, C. (Cambridge U. ; Birmingham U.) ; Munday, D.J. (Cambridge U.) ; Slater, M.W. (Cambridge U. ; Birmingham U.) ; Wotton, S.A. (Cambridge U.) ; Arcidiacono, R. (CERN ; Turin U. ; INFN, Turin) ; Bocquet, G. (CERN) ; Cabibbo, N. (CERN ; Rome U. ; INFN, Rome) ; Ceccucci, A. (CERN) ; Cundy, D. (CERN ; Turin, Cosmo-Geofisica Lab) ; Falaleev, V. (CERN) ; Fidecaro, M. (CERN) ; Gatignon, L. (CERN) ; Gonidec, A. (CERN) ; Kubischta, W. (CERN) ; Norton, A. (CERN ; Ferrara U. ; INFN, Ferrara) ; Maier, A. (CERN) ; Patel, M. (CERN) ; Peters, A. (CERN) ; Balev, S. (Dubna, JINR ; Pisa, Scuola Normale Superiore) ; Frabetti, P.L. (Dubna, JINR) ; Goudzovski, E. (Dubna, JINR ; Birmingham U.) ; Hristov, P. (Dubna, JINR ; CERN) ; Kekelidze, V. (Dubna, JINR) ; Kozhuharov, V. (Dubna, JINR ; Sofiya U.) ; Litov, L. (Dubna, JINR) ; Madigozhin, D. (Dubna, JINR) ; Marinova, E. (Dubna, JINR ; INFN, Perugia) ; Molokanova, N. (Dubna, JINR) ; Polenkevich, I. (Dubna, JINR) ; Potrebenikov, Yu. (Dubna, JINR) ; Stoynev, S. (Dubna, JINR ; Northwestern U.) ; Zinchenko, A. (Dubna, JINR) ; Monnier, E. (Chicago U., EFI ; Marseille, CPPM) ; Swallow, E. (Chicago U., EFI) ; Winston, R. (Chicago U., EFI) ; Rubin, P. (Edinburgh U. ; George Mason U.) ; Walker, A. (Edinburgh U.) ; Baldini, W. (Ferrara U. ; INFN, Ferrara) ; Cotta Ramusino, A. (Ferrara U. ; INFN, Ferrara) ; Dalpiaz, P. (Ferrara U. ; INFN, Ferrara) ; Damiani, C. (Ferrara U. ; INFN, Ferrara) ; Fiorini, M. (Ferrara U. ; INFN, Ferrara) ; Gianoli, A. (Ferrara U. ; INFN, Ferrara) ; Martini, M. (Ferrara U. ; INFN, Ferrara) ; Petrucci, F. (Ferrara U. ; INFN, Ferrara) ; Savrie, M. (Ferrara U. ; INFN, Ferrara) ; Scarpa, M. (Ferrara U. ; INFN, Ferrara) ; Wahl, H. (Ferrara U. ; INFN, Ferrara) ; Calvetti, M. (Florence U. ; INFN, Florence) ; Iacopini, E. (Florence U. ; INFN, Florence) ; Ruggiero, G. (Florence U. ; INFN, Florence ; Pisa, Scuola Normale Superiore) ; Bizzeti, A. (INFN, Florence ; Modena U.) ; Lenti, M. (INFN, Florence) ; Veltri, M. (INFN, Florence ; Urbino U.) ; Behler, M. (INFN, Florence) ; Eppard, K. (INFN, Florence) ; Kleinknecht, K. (INFN, Florence) ; Marouelli, P. (INFN, Florence) ; Masetti, L. (Mainz U., Inst. Phys. ; Bonn U.) ; Moosbrugger, U. (Mainz U., Inst. Phys.) ; Morales-Morales, C. (Mainz U., Inst. Phys.) ; Renk, B. (Mainz U., Inst. Phys.) ; Wache, M. (Mainz U., Inst. Phys.) ; Wanke, R. (Mainz U., Inst. Phys.) ; Winhart, A. (Mainz U., Inst. Phys.) ; Coward, D. (Northwestern U. ; SLAC) ; Dabrowski, A. (Northwestern U.) ; Fonseca Martin, T. (Northwestern U. ; Royal Holloway, U. of London) ; Shieh, M. (Northwestern U.) ; Szleper, M. (Northwestern U.) ; Velasco, M. (Northwestern U.) ; Wood, M.D. (Northwestern U. ; UCLA) ; Anzivino, G. (Perugia U. ; INFN, Perugia ; Frascati) ; Imbergamo, E. (Perugia U. ; INFN, Perugia ; Frascati) ; Nappi, A. (Perugia U. ; INFN, Perugia ; Frascati) ; Piccini, M. (Perugia U. ; INFN, Perugia ; Frascati) ; Raggi, M. (Perugia U. ; INFN, Perugia ; Frascati) ; Valdata-Nappi, M. (Perugia U. ; INFN, Perugia) ; Cenci, P. (INFN, Perugia) ; Pepe, M. (INFN, Perugia) ; Petrucci, M.C. (INFN, Perugia) ; Cerri, C. (INFN, Pisa) ; Fantechi, R. (INFN, Pisa) ; Collazuol, G. (Pisa, Scuola Normale Superiore ; INFN, Pisa) ; Di Lella, L. (Pisa, Scuola Normale Superiore ; INFN, Pisa) ; Lamanna, G. (Pisa, Scuola Normale Superiore ; INFN, Pisa) ; Mannelli, I. (Pisa, Scuola Normale Superiore ; INFN, Pisa) ; Michetti, A. (Pisa, Scuola Normale Superiore ; INFN, Pisa) ; Costantini, F. (Pisa U. ; INFN, Pisa) ; Doble, N. (Pisa U. ; INFN, Pisa) ; Fiorini, L. (Pisa U. ; INFN, Pisa ; Barcelona, IFAE) ; Giudici, S. (Pisa U. ; INFN, Pisa) ; Pierazzini, G. (Pisa U. ; INFN, Pisa) ; Sozzi, M. (Pisa U. ; INFN, Pisa) ; Venditti, S. (Pisa U. ; INFN, Pisa) ; Bloch-Devaux, B. (DSM, DAPNIA, Saclay) ; Cheshkov, C. (DSM, DAPNIA, Saclay ; CERN) ; Cheze, J.B. (DSM, DAPNIA, Saclay) ; De Beer, M. (DSM, DAPNIA, Saclay) ; Derre, J. (DSM, DAPNIA, Saclay) ; Marel, G. (DSM, DAPNIA, Saclay) ; Mazzucato, E. (DSM, DAPNIA, Saclay) ; Peyaud, B. (DSM, DAPNIA, Saclay) ; Vallage, B. (DSM, DAPNIA, Saclay) ; Holder, M. (Siegen U.) ; Ziolkowski, M. (Siegen U.) ; Biino, C. (INFN, Turin) ; Cartiglia, N. (INFN, Turin) ; Marchetto, F. (INFN, Turin) ; Bifani, S. (Turin U. ; INFN, Turin ; Bern U.) ; Clemencic, M. (Turin U. ; INFN, Turin ; CERN) ; Goy Lopez, S. (Turin U. ; INFN, Turin ; Madrid, CIEMAT) ; Dibon, H. (Vienna, OAW) ; Jeitler, M. (Vienna, OAW) ; Markytan, M. (Vienna, OAW) ; Mikulec, I. (Vienna, OAW) ; Neuhofer, G. (Vienna, OAW) ; Widhalm, L. (Vienna, OAW)
Publication	2009
Imprint	06 May 2009
Number of pages	20
Note	Comments: 19 pages, 12 figures 19 pages, 12 figures
In:	Eur. Phys. J. C 64 (2009) 589-608
DOI	10.1140/epjc/s10052-009-1171-3
Subject category	Particle Physics - Experiment
Accelerator/Facility, Experiment	CERN SPS ; NA48/2
Abstract	We report the results from a study of the full sample of $ 6.031 x 10^{7} K^{\pm} \to \pi^{\pm} \pi^{0} \pi^{0}$ decays recorded by the NA48/2 experiment at the CERN SPS. As first observed in this experiment, the $\pi^{0} \pi^{0}$ invariant mass (M_00) distribution shows a cusp-like anomaly in the region around $M_{00} = 2m_{+}$, 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 $\pi^{+}\pi^{-} \to \pi^{0} \pi^{0}$ in $K^{\pm} \to \pi^{\pm} \pi^{+} \pi^{-}$ decay. Fits to the M_{00} distribution using two different theoretical models provide the presently most precise determination of $a_{0}-a_{2}$, the difference between the pi pi S-wave scattering lengths in the isospin I = 0 and I = 2 states. Higher-order pi pi rescattering terms, included in the two models, allow also an independent, though less precise, determination of a_2.
Copyright/License	Preprint: © 2009-2025 CERN (License: CC-BY-3.0)

$Distribution of the difference between the $\pi^\pm \pi^0 \pi^0$ invariant mass and the nominal $K^\pm$ mass for the selected$\kcnn$ decays.$ ${\bf a}: distribution of $\mm2$, the square of the $\p0p0$ invariant mass; {\bf b}: enlargement of a narrow region centred at $\mm2 = (2m_+)^2$ (this point is indicated by the arrow). The statistical error bars arealso shown in these plots.$ Show more plots

Corresponding record in: Inspire
Email contact: [email protected]

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記錄創建於2009-05-28，最後更新在2023-08-10

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