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# Hadronic decay of a vector meson from the lattice

McNeile, C. and Michael, C. (2003) Hadronic decay of a vector meson from the lattice. Physics Letters B, 556 (3-4). pp. 177-184. ISSN 0370-2693

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## Abstract

We explore the decay of a vector meson to two pseudoscalar mesons on the lattice with $N_f=2$ flavours of sea quark. Although we are working with quark masses that do not allow a physical decay, we show how the transition rate can be evaluated from the amplitude for $\rho \to \pi \pi$ and from the annihilation component of $\pi \pi \to \pi \pi$. We explore the decay amplitude for two different pion momenta and find consistent results. The coupling strength we find is in agreement with experiment. We also find evidence for a shift in the $\rho$ mass caused by mixing with two pion states.

Item Type: Article LTH566. arXiv Number: arXiv:hep-lat/0212020v2. Available online 1 February 2003. Issue: 20 March 2003. QUANTUM-FIELD THEORIES; FINITE-VOLUME; ENERGY-SPECTRUM; DEPENDENCE; STATES; QCD; MATRIX Q Science > QC Physics Academic Faculties, Institutes and Research Centres > Faculty of Science > Department of Mathematical Sciences 10.1016/S0370-2693(03)00130-8 http://xxx.soton.ac.uk/abs/hep-lat/02120... Yes Published 529 19 Aug 2008 14:22 20 May 2011 12:37

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