K e 4 decays and Wigner cusp Contribution to the proceedings of HQL 06 , Munich , October 16 th - 20 th 2006

نویسنده

  • Lucia Masetti
چکیده

The single-flavour quark condensate 〈0 |qq| 0〉 is a fundamental parameter of χPT , determining the relative size of mass and momentum terms in the expansion. Since it can not be predicted theoretically, its value must be determined experimentally, e.g. by measuring the ππ scattering lengths, whose values are predicted very precisely within the framework of χPT , assuming a big quark condensate [1], or of generalised χPT , where the quark condensate is a free parameter [2]. The K+− e4 decay is a very clean environment for the measurement of ππ scattering lengths, since the two pions are the only hadrons and they are produced close to threshold. The only theoretical uncertainty enters through the constraint [3] between the scattering lengths a0 and a 0 0. In the K ± → π0π0π± decay a cusp-like structure can be observed at M 00 = 4m 2 π+ , due to re-scattering from K ± → π+π−π±. The scattering lengths can be extracted from a fit of the M 00 distribution around the discontinuity.

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تاریخ انتشار 2008