Isospin Breaking and $ω$->$ππ$ Decay

Details Isospin Breaking and $ω$->$ππ$ Decay Isospin Breaking and $ω$->$ππ$ Decay

2000-03-22

arxiv.org/abs/hep-ph/0003218v1

Phys.Rev.D62:094013,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

Revtex file, 16 pages, four eps figure

Scientific paper

10.1103/PhysRevD.62.094013

We study $\omega\to\pi^+\pi^-$ decay up to including all orders of the chiral expansion and one-loop level of mesons in formlism of chiral constituent quark model. This G-parity forbidden decay is caused by $m_u\neq m_d$ and electromagnetic interaction of mesons. We illustrate that in the formlism both nonresonant contact interaction and $\rho$ resonance exchange contribute to this process, and the contribution from $\rho$ resonance exchange is dominant. We obtain that transition matrix element is $<~\rho|H_{\rho\omega}|\omega>=[-(3956\pm 280)-(1697\pm 130)i]$MeV$^2$, and isospin breaking parameter is $m_d-m_u=3.9\pm 0.22$MeV at energy scale $\mu\sim m_\omega$.

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