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Further study of f₀(1710) with coupled-channel approach and hadron molecular picture

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arxiv 2107.14470 v1 pith:SK2RSGEY submitted 2021-07-30 hep-ph

Further study of f₀(1710) with coupled-channel approach and hadron molecular picture

classification hep-ph
keywords omegaapproachchannelscoupled-channeldecaydynamicallygeneratedmesons
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The $f_0(1710)$ was previously proposed to be dynamically generated state by interactions between vector mesons. We extend the study of $f_0(1710)$ by including its coupling to channels of pseudoscalar mesons within coupled-channel approach. The channels involved are $K^*\bar{K}^*,\rho\rho,\omega\omega,\phi\phi, \omega\phi,\pi\pi,K\bar{K},\eta\eta$. We show that the pole assigned to $f_0(1710)$ does not change much. Then we calculate the partial decay widths of $f_0(1710) \to K^*\bar{K}^* \to \pi\pi,K\bar{K},\eta\eta$ as the coupled channel dynamically generated state as well as assuming it to be pure $K^*\bar{K}^*$ molecule. In both cases the ratios of partial decay widths agree fairly with that in PDG.

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  1. The dynamically generated $h_1$ state by the $K^*\bar{K}^*$ interaction and its $K_1(1270)\bar{K}$ and $b_1(1235)\pi$ decays

    hep-ph 2026-01 conditional novelty 5.0

    The dynamically generated h1(1790) K*Kbar* molecule is predicted to decay into K1(1270)Kbar and b1(1235)pi with partial widths of about 0.5 to several MeV, plus stable width ratios R1≈0.3 and R2≈0.53.