Determination of the S-wave π π scattering lengths from a study of K ±→π ± π 0 π 0 decays

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

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

Determination of the S-wave π π scattering lengths from a study of K ^±→π ^± π ⁰ π ⁰ decays

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

Physics and Astronomy

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Abstract

We report the results from a study of the full sample of ∼6.031×10⁷ K ^±→π ^± π ⁰ π ⁰ decays recorded by the NA48/2 experiment at the CERN SPS. As first observed in this experiment, the π ⁰ π 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 π ⁺ π ^-→π ⁰ π ⁰ in K ^±→π ^± π ⁺ π ^- decay. Fits to the M ₀₀ distribution using two different theoretical formulations provide the presently most precise determination of a ₀-a ₂, the difference between the π π S-wave scattering lengths in the isospin I=0 and I=2 states. Higher-order π π rescattering terms, included in the two formulations, allow also an independent, though less precise, determination of a ₂.

Original language	English (US)
Pages (from-to)	589-608
Number of pages	20
Journal	European Physical Journal C
Volume	64
Issue number	4
DOIs	https://doi.org/10.1140/epjc/s10052-009-1171-3
State	Published - Dec 2009

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Engineering (miscellaneous)
Physics and Astronomy (miscellaneous)

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10.1140/epjc/s10052-009-1171-3

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Batley, J. R., Culling, A. J., Kalmus, G., Lazzeroni, C., Munday, D. J., Slater, M. W., Wotton, S. A., Arcidiacono, R., Bocquet, G., Cabibbo, N., Ceccucci, A., Cundy, D., Falaleev, V., Fidecaro, M., Gatignon, L., Gonidec, A., Kubischta, W., Norton, A., Maier, A., ... Widhalm, L. (2009). Determination of the S-wave π π scattering lengths from a study of K ^±→π ^± π ⁰ π ⁰ decays. European Physical Journal C, 64(4), 589-608. https://doi.org/10.1140/epjc/s10052-009-1171-3

@article{f76cb70db33b4137b9bab29c63d14655,

title = "Determination of the S-wave π π scattering lengths from a study of K ±→π ± π 0 π 0 decays",

abstract = "We report the results from a study of the full sample of ∼6.031×107 K ±→π ± π 0 π 0 decays recorded by the NA48/2 experiment at the CERN SPS. As first observed in this experiment, the π 0 π 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 π + π -→π 0 π 0 in K ±→π ± π + π - decay. Fits to the M 00 distribution using two different theoretical formulations provide the presently most precise determination of a 0-a 2, the difference between the π π S-wave scattering lengths in the isospin I=0 and I=2 states. Higher-order π π rescattering terms, included in the two formulations, allow also an independent, though less precise, determination of a 2.",

author = "Batley, {J. R.} and Culling, {A. J.} and G. Kalmus and C. Lazzeroni and Munday, {D. J.} and Slater, {M. W.} and Wotton, {S. A.} and R. Arcidiacono and G. Bocquet and N. Cabibbo and A. Ceccucci and D. Cundy and V. Falaleev and M. Fidecaro and L. Gatignon and A. Gonidec and W. Kubischta and A. Norton and A. Maier and M. Patel and A. Peters and S. Balev and Frabetti, {P. L.} and E. Goudzovski and P. Hristov and V. Kekelidze and V. Kozhuharov and L. Litov and D. Madigozhin and E. Marinova and N. Molokanova and I. Polenkevich and Yu Potrebenikov and S. Stoynev and A. Zinchenko and E. Monnier and E. Swallow and R. Winston and P. Rubin and A. Walker and W. Baldini and {Cotta Ramusino}, A. and P. Dalpiaz and C. Damiani and M. Fiorini and A. Gianoli and M. Martini and F. Petrucci and M. Savri{\'e} and M. Scarpa and H. Wahl and M. Calvetti and E. Iacopini and G. Ruggiero and A. Bizzeti and M. Lenti and M. Veltri and M. Behler and K. Eppard and K. Kleinknecht and P. Marouelli and L. Masetti and U. Moosbrugger and {Morales Morales}, C. and B. Renk and M. Wache and R. Wanke and A. Winhart and D. Coward and A. Dabrowski and {Fonseca Martin}, T. and M. Shieh and M. Szleper and M. Velasco and Wood, {M. D.} and G. Anzivino and E. Imbergamo and A. Nappi and M. Piccini and M. Raggi and M. Valdata-Nappi and P. Cenci and M. Pepe and Petrucci, {M. C.} and C. Cerri and R. Fantechi and G. Collazuol and L. Dilella and G. Lamanna and I. Mannelli and A. Michetti and F. Costantini and N. Doble and L. Fiorini and S. Giudici and G. Pierazzini and M. Sozzi and S. Venditti and B. Bloch-Devaux and C. Cheshkov and Ch{\`e}ze, {J. B.} and {De Beer}, M. and J. Derr{\'e} and G. Marel and E. Mazzucato and B. Peyaud and B. Vallage and M. Holder and M. Ziolkowski and C. Biino and N. Cartiglia and F. Marchetto and S. Bifani and M. Clemencic and {Goy Lopez}, S. and H. Dibon and M. Jeitler and M. Markytan and I. Mikulec and G. Neuhofer and L. Widhalm",

year = "2009",

month = dec,

doi = "10.1140/epjc/s10052-009-1171-3",

language = "English (US)",

volume = "64",

pages = "589--608",

journal = "European Physical Journal C",

issn = "1434-6044",

publisher = "Springer New York",

number = "4",

}

Batley, JR, Culling, AJ, Kalmus, G, Lazzeroni, C, Munday, DJ, Slater, MW, Wotton, SA, Arcidiacono, R, Bocquet, G, Cabibbo, N, Ceccucci, A, Cundy, D, Falaleev, V, Fidecaro, M, Gatignon, L, Gonidec, A, Kubischta, W, Norton, A, Maier, A, Patel, M, Peters, A, Balev, S, Frabetti, PL, Goudzovski, E, Hristov, P, Kekelidze, V, Kozhuharov, V, Litov, L, Madigozhin, D, Marinova, E, Molokanova, N, Polenkevich, I, Potrebenikov, Y, Stoynev, S, Zinchenko, A, Monnier, E, Swallow, E, Winston, R, Rubin, P, Walker, A, Baldini, W, Cotta Ramusino, A, Dalpiaz, P, Damiani, C, Fiorini, M, Gianoli, A, Martini, M, Petrucci, F, Savrié, M, Scarpa, M, Wahl, H, Calvetti, M, Iacopini, E, Ruggiero, G, Bizzeti, A, Lenti, M, Veltri, M, Behler, M, Eppard, K, Kleinknecht, K, Marouelli, P, Masetti, L, Moosbrugger, U, Morales Morales, C, Renk, B, Wache, M, Wanke, R, Winhart, A, Coward, D, Dabrowski, A, Fonseca Martin, T, Shieh, M, Szleper, M, Velasco, M, Wood, MD, Anzivino, G, Imbergamo, E, Nappi, A, Piccini, M, Raggi, M, Valdata-Nappi, M, Cenci, P, Pepe, M, Petrucci, MC, Cerri, C, Fantechi, R, Collazuol, G, Dilella, L, Lamanna, G, Mannelli, I, Michetti, A, Costantini, F, Doble, N, Fiorini, L, Giudici, S, Pierazzini, G, Sozzi, M, Venditti, S, Bloch-Devaux, B, Cheshkov, C, Chèze, JB, De Beer, M, Derré, J, Marel, G, Mazzucato, E, Peyaud, B, Vallage, B, Holder, M, Ziolkowski, M, Biino, C, Cartiglia, N, Marchetto, F, Bifani, S, Clemencic, M, Goy Lopez, S, Dibon, H, Jeitler, M, Markytan, M, Mikulec, I, Neuhofer, G & Widhalm, L 2009, 'Determination of the S-wave π π scattering lengths from a study of K ^±→π ^± π ⁰ π ⁰ decays', European Physical Journal C, vol. 64, no. 4, pp. 589-608. https://doi.org/10.1140/epjc/s10052-009-1171-3

TY - JOUR

T1 - Determination of the S-wave π π scattering lengths from a study of K ±→π ± π 0 π 0 decays

AU - Batley, J. R.

AU - Culling, A. J.

AU - Kalmus, G.

AU - Lazzeroni, C.

AU - Munday, D. J.

AU - Slater, M. W.

AU - Wotton, S. A.

AU - Arcidiacono, R.

AU - Bocquet, G.

AU - Cabibbo, N.

AU - Ceccucci, A.

AU - Cundy, D.

AU - Falaleev, V.

AU - Fidecaro, M.

AU - Gatignon, L.

AU - Gonidec, A.

AU - Kubischta, W.

AU - Norton, A.

AU - Maier, A.

AU - Patel, M.

AU - Peters, A.

AU - Balev, S.

AU - Frabetti, P. L.

AU - Goudzovski, E.

AU - Hristov, P.

AU - Kekelidze, V.

AU - Kozhuharov, V.

AU - Litov, L.

AU - Madigozhin, D.

AU - Marinova, E.

AU - Molokanova, N.

AU - Polenkevich, I.

AU - Potrebenikov, Yu

AU - Stoynev, S.

AU - Zinchenko, A.

AU - Monnier, E.

AU - Swallow, E.

AU - Winston, R.

AU - Rubin, P.

AU - Walker, A.

AU - Baldini, W.

AU - Cotta Ramusino, A.

AU - Dalpiaz, P.

AU - Damiani, C.

AU - Fiorini, M.

AU - Gianoli, A.

AU - Martini, M.

AU - Petrucci, F.

AU - Savrié, M.

AU - Scarpa, M.

AU - Wahl, H.

AU - Calvetti, M.

AU - Iacopini, E.

AU - Ruggiero, G.

AU - Bizzeti, A.

AU - Lenti, M.

AU - Veltri, M.

AU - Behler, M.

AU - Eppard, K.

AU - Kleinknecht, K.

AU - Marouelli, P.

AU - Masetti, L.

AU - Moosbrugger, U.

AU - Morales Morales, C.

AU - Renk, B.

AU - Wache, M.

AU - Wanke, R.

AU - Winhart, A.

AU - Coward, D.

AU - Dabrowski, A.

AU - Fonseca Martin, T.

AU - Shieh, M.

AU - Szleper, M.

AU - Velasco, M.

AU - Wood, M. D.

AU - Anzivino, G.

AU - Imbergamo, E.

AU - Nappi, A.

AU - Piccini, M.

AU - Raggi, M.

AU - Valdata-Nappi, M.

AU - Cenci, P.

AU - Pepe, M.

AU - Petrucci, M. C.

AU - Cerri, C.

AU - Fantechi, R.

AU - Collazuol, G.

AU - Dilella, L.

AU - Lamanna, G.

AU - Mannelli, I.

AU - Michetti, A.

AU - Costantini, F.

AU - Doble, N.

AU - Fiorini, L.

AU - Giudici, S.

AU - Pierazzini, G.

AU - Sozzi, M.

AU - Venditti, S.

AU - Bloch-Devaux, B.

AU - Cheshkov, C.

AU - Chèze, J. B.

AU - De Beer, M.

AU - Derré, J.

AU - Marel, G.

AU - Mazzucato, E.

AU - Peyaud, B.

AU - Vallage, B.

AU - Holder, M.

AU - Ziolkowski, M.

AU - Biino, C.

AU - Cartiglia, N.

AU - Marchetto, F.

AU - Bifani, S.

AU - Clemencic, M.

AU - Goy Lopez, S.

AU - Dibon, H.

AU - Jeitler, M.

AU - Markytan, M.

AU - Mikulec, I.

AU - Neuhofer, G.

AU - Widhalm, L.

PY - 2009/12

Y1 - 2009/12

N2 - We report the results from a study of the full sample of ∼6.031×107 K ±→π ± π 0 π 0 decays recorded by the NA48/2 experiment at the CERN SPS. As first observed in this experiment, the π 0 π 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 π + π -→π 0 π 0 in K ±→π ± π + π - decay. Fits to the M 00 distribution using two different theoretical formulations provide the presently most precise determination of a 0-a 2, the difference between the π π S-wave scattering lengths in the isospin I=0 and I=2 states. Higher-order π π rescattering terms, included in the two formulations, allow also an independent, though less precise, determination of a 2.

AB - We report the results from a study of the full sample of ∼6.031×107 K ±→π ± π 0 π 0 decays recorded by the NA48/2 experiment at the CERN SPS. As first observed in this experiment, the π 0 π 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 π + π -→π 0 π 0 in K ±→π ± π + π - decay. Fits to the M 00 distribution using two different theoretical formulations provide the presently most precise determination of a 0-a 2, the difference between the π π S-wave scattering lengths in the isospin I=0 and I=2 states. Higher-order π π rescattering terms, included in the two formulations, allow also an independent, though less precise, determination of a 2.

UR - http://www.scopus.com/inward/record.url?scp=71249146298&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=71249146298&partnerID=8YFLogxK

U2 - 10.1140/epjc/s10052-009-1171-3

DO - 10.1140/epjc/s10052-009-1171-3

M3 - Article

AN - SCOPUS:71249146298

SN - 1434-6044

VL - 64

SP - 589

EP - 608

JO - European Physical Journal C

JF - European Physical Journal C

IS - 4

ER -

Determination of the S-wave π π scattering lengths from a study of K ^±→π ^± π ⁰ π ⁰ decays

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