The electromagnetic effects in Ke4 decay

Physics of Atomic Nuclei (Impact Factor: 0.51). 06/2010; 73(6):937-940. DOI: 10.1134/S1063778810060049
Source: arXiv


The final-state interaction of pions in K

e4 decay allows to obtain the value of the isospin and angular-momentum-zero ππ scattering length a
00.We take into account the electromagnetic interaction of pions and isospin-symmetry-breaking effects caused by different masses
of neutral and charged pions and estimate the impact of these effects on the procedure of scattering-length extraction from

e4 decays.

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    ABSTRACT: We discuss the separation of isospin-symmetric and isospin-breaking contributions in the hadronic observables within the framework of QCD plus QED. Further, we briefly review some recent work on the low-energy hadron phenomenology, in which the isospin-breaking effect plays a prominent role. Comment: Plenary talk at Sixth International Workshop on Chiral Dynamics, 6-10 July 2009, Bern (Switzerland)
    Preview · Article · Oct 2009
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    ABSTRACT: The kaons decays to pairs of charged and neutral pions are considered in the framework of the non-relativistic quantum mechanics. The general expressions for the decay amplitudes to the two different channels accounting for the strong interaction between pions are obtained. The developed approach allows one to estimate the contribution of terms of any order in strong interaction and correctly takes into account the electromagnetic interaction between the pions in the final state.
    Full-text · Article · May 2010 · European Physical Journal C
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    ABSTRACT: The isospin symmetry breaking effects in the charged kaons decays to two or three pions are considered. In semileptonic decay K ± → π + π −e± ν (called K e4) these effects turn out to be crucial for correct extraction of ππ scattering lengths. Taking in account electromagnetic interaction between the pions in the final state and isospin symmetry breaking due to different masses of charged and neutral pions allows to adjust the values of scattering lengths obtained from experimental data on K e4 decay and predictions of Chiral Perturbation Theory (ChPT). Final state interactions of pions in the decay K ± → π ± π 0 π 0 leading to the anomaly (cusp) in the π 0 π 0 invariant mass distribution in the vicinity of charged pions’ threshold are discussed and recent results of accounting of the electromagnetic interaction among charged pions leading to π + π − bound states (pioniumatom) just under the charged pions’ threshold are presented.
    No preview · Article · Aug 2013 · Physics of Atomic Nuclei