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arxiv: 1712.08323 · v1 · pith:H35MRWWMnew · submitted 2017-12-22 · ✦ hep-ph

Mending rhoππ vertex through the π a₁ diagonalization

classification ✦ hep-ph
keywords vertexapplicationsappropriatecalculatedchoicecomparedcorrespondingdata
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The problem of the strong momentum dependence of the $\rho\pi\pi$-vertex in the extended Nambu -- Jona-Lasinio model is solved by an appropriate choice of fields for spin-1 particles. A corresponding phenomenological Lagrangian is derived. As straightforward applications, the decay widths of $\rho\to\pi\pi$, and $a_1\to\rho\pi$ transitions are calculated and compared with known empirical data and previous theoretical estimates.

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