%0 Journal Article %T Measurement of the beam-helicity asymmetry $I^{\odot}$ in the photoproduction of $¦Ð^0¦Ð^{\pm}$-pairs off protons and off neutrons %A M. Oberle %A J. Ahrens %A J. R. M. Annand %A H. J. Arends %A K. Bantawa %A P. A. Bartolome %A R. Beck %A V. Bekrenev %A H. Berghaeuser %A A. Braghieri %A D. Branford %A W. J. Briscoe %A J. Brudvik %A S. Cherepnya %A B. Demissie %A M. Dieterle %A E. J. Downie %A P. Drexler %A L. V. Fil'kov %A A. Fix %A D. I. Glazier %A E. Heid %A D. Hornidge %A D. Howdle %A G. M. Huber %A O. Jahn %A I. Jaegle %A T. C. Jude %A A. Kaeser %A V. L. Kashevarov %A I. Keshelashvili %A R. Kondratiev %A M. Korolija %A S. P. Kruglov %A B. Krusche %A A. Kulbardis %A V. Lisin %A K. Livingston %A I. J. D. MacGregor %A Y. Maghrbi %A J. Mancell %A D. M. Manley %A Z. Marinides %A M. Martinez %A J. C. McGeorge %A E. McNicoll %A D. Mekterovic %A V. Metag %A S. Micanovic %A D. G. Middleton %A A. Mushkarenkov %A B. M. K. Nefkens %A A. Nikolaev %A R. Novotny %A M. Ostrick %A B. Oussena %A P. Pedroni %A F. Pheron %A A. Polonski %A S. N. Prakhov %A J. Robinson %A G. Rosner %A T. Rostomyan %A S. Schumann %A M. H. Sikora %A D. I. Sober %A A. Starostin %A I. Supek %A M. Thiel %A A. Thomas %A M. Unverzagt %A D. P. Watts %A D. Werthmueller %A L. Witthauer %A F. Zehr %J Physics %D 2014 %I arXiv %R 10.1140/epja/i2014-14054-5 %X Beam-helicity asymmetries have been measured at the MAMI accelerator in Mainz for the photoproduction of mixed-charge pion pairs in the reactions $\boldsymbol{\gamma}p\rightarrow n\pi^0\pi^+$ off free protons and $\boldsymbol{\gamma}d\rightarrow (p)p\pi^0\pi^-$ and $\boldsymbol{\gamma}d\rightarrow (n)n\pi^0\pi^+$ off quasi-free nucleons bound in the deuteron for incident photon energies up to 1.4 GeV. Circularly polarized photons were produced from bremsstrahlung of longitudinally polarized electrons and tagged with the Glasgow-Mainz magnetic spectrometer. The charged pions, recoil protons, recoil neutrons, and decay photons from $\pi^0$ mesons were detected in the 4$\pi$ electromagnetic calorimeter composed of the Crystal Ball and TAPS detectors. Using a complete kinematic reconstruction of the final state, excellent agreement was found between the results for free and quasi-free protons, suggesting that the quasi-free neutron results are also a close approximation of the free-neutron asymmetries. A comparison of the results to the predictions of the Two-Pion-MAID reaction model shows that the reaction mechanisms are still not well understood, in particular at low incident photon energies in the second nucleon-resonance region. %U http://arxiv.org/abs/1403.1989v1