Cusps in K→3π decays

被引:115
作者
Colangelo, G.
Gasser, J.
Kubis, B.
Rusetsky, A.
机构
[1] Univ Bonn, Helmholtz Inst Strahlen & Kernphys, D-53115 Bonn, Germany
[2] Univ Bern, Inst Theoret Phys, CH-3012 Bern, Switzerland
关键词
chiral symmetries; analytic properties of the S-matrix; decays of K-mesons; meson-meson interactions;
D O I
10.1016/j.physletb.2006.05.017
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The pion mass difference generates a pronounced cusp in K -> 3 pi decays. As has recently been pointed out by Cabibbo and Isidori, an accurate measurement of the cusp may allow one to pin down the S-wave pi pi scattering lengths to high precision. Here, we present and illustrate an effective field theory framework that allows one to determine the structure of this cusp in a straightforward manner. The strictures imposed by analyticity and unitarity are respected automatically. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码:187 / 194
页数:8
相关论文
共 34 条
[1]   First measurement of the π+π- atom lifetime [J].
Adeva, B ;
Afanasyev, L ;
Benayoun, M ;
Benelli, A ;
Berka, Z ;
Brekhovskikh, V ;
Caragheorgheopol, G ;
Cechak, T ;
Chiba, M ;
Constantinescu, S ;
Detraz, C ;
Dreossi, D ;
Drijard, D ;
Dudarev, A ;
Evangelou, I ;
Ferro-Luzzi, M ;
Gallas, MV ;
Gerndt, J ;
Giacomich, R ;
Gianotti, P ;
Goldin, D ;
Gómez, F ;
Gorin, A ;
Gorchakov, O ;
Guaraldo, C ;
Hansroul, M ;
Hosek, R ;
Iliescu, M ;
Karpukhin, V ;
Kluson, J ;
Kobayashi, M ;
Kokkas, P ;
Komarov, V ;
Kruglov, V ;
Kruglova, L ;
Kulikov, A ;
Kuptsov, A ;
Kurochkin, I ;
Kuroda, KI ;
Lamberto, A ;
Lanaro, A ;
Lapshin, V ;
Lednicky, R ;
Leruste, P ;
Sandri, PL ;
Aguera, AL ;
Lucherini, V ;
Maki, T ;
Manthos, N ;
Manuilov, I .
PHYSICS LETTERS B, 2005, 619 (1-2) :50-60
[2]   THEORY OF REACTIONS WITH PRODUCTION OF 3 PARTICLES NEAR THRESHOLD [J].
ANISOVICH, VV ;
ANSELM, AA .
SOVIET PHYSICS USPEKHI-USSR, 1966, 9 (01) :117-+
[3]   Observation of a cusp-like structure in the π0π0 invariant mass distribution from K±→π±π0π0 decay and determination of the ππ scattering lengths [J].
Batley, JR ;
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 ;
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 ;
Ramusino, AC ;
Dalpiaz, P ;
Damiani, C ;
Fiorini, M ;
Gianoli, A ;
Martini, M ;
Petrucci, F ;
Savrié, M ;
Scarpa, M ;
Wahl, H ;
Bizzeti, A ;
Calvetti, M .
PHYSICS LETTERS B, 2006, 633 (2-3) :173-182
[4]  
Cabibbo N, 2005, J HIGH ENERGY PHYS, DOI 10.1088/1126-6708/2005/03/021
[5]   Determination of the a0-a2 pion scattering length from K+→π+π0π0 decay -: art. no. 121801 [J].
Cabibbo, N .
PHYSICAL REVIEW LETTERS, 2004, 93 (12) :121801-1
[6]   EFFECTIVE LAGRANGIANS FOR BOUND-STATE PROBLEMS IN QED, QCD, AND OTHER FIELD-THEORIES [J].
CASWELL, WE ;
LEPAGE, GP .
PHYSICS LETTERS B, 1986, 167 (04) :437-442
[7]   ππ scattering [J].
Colangelo, G ;
Gasser, J ;
Leutwyler, H .
NUCLEAR PHYSICS B, 2001, 603 (1-2) :125-179
[8]   The ππ S-wave scattering lengths [J].
Colangelo, G ;
Gasser, J ;
Leutwyler, H .
PHYSICS LETTERS B, 2000, 488 (3-4) :261-268
[9]  
Eden R. J., 1966, ANAL S MATRIX
[10]   Effective field theory approach to pionium [J].
Eiras, D ;
Soto, J .
PHYSICAL REVIEW D, 2000, 61 (11) :1-11