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Neutron-scattering experiments on (VO)_2P_2O_7 reveal both a gapped magnondispersion and an unexpected, low-lying second mode. The proximity andintensity of these modes suggest a frustrated coupling between the alternatingspin chains. We deduce the minimal model containing such a frustration, andshow that it gives an excellent account of the magnon dispersion, staticsusceptibility and electron spin resonance absorption. We consider two-magnonstates which bind due to frustration, and demonstrate that these may provide aconsistent explanation for the second mode.Comment: RevTeX, 5 pages, 6 figures, compressed from first versio

physical review. b, condensed matter

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Magnetic properties of(VO)2P2O