Tests on the molecular structure of $f_2(1270)$, $f'_2(1525)$ from $\psi
  (nS)$ and $\Upsilon (nS)$ decays

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Abstract

Based on previous studies that support the vector-vector molecular structure of the $f_2(1270)$, $f'_2(1525)$, $\bar{K}^{*\,0}_2(1430)$, $f_0(1370)$ and $f_0(1710)$ resonances, we make predictions for $\psi (2S)$ decay into $\omega(\phi) f_2(1270)$, $\omega(\phi) f'_2(1525)$, $K^{*0}(892) \bar{K}^{*\,0}_2(1430)$ and radiative decay of $\Upsilon (1S),\Upsilon (2S), \psi (2S)$ into $\gamma f_2(1270)$, $\gamma f'_2(1525)$, $\gamma f_0(1370)$, $\gamma f_0(1710)$. Agreement with experimental data is found for three available ratios, without using free parameters, and predictions are done for other cases.

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Vector meson-vector meson interaction in a hidden gauge unitary approach

L. Geng, E. Oset (2008)

The formalism developed recently to study vector meson--vector meson interaction, and applied to the case of $\rho\rho$, is extended to study the interaction of the nonet of vector mesons among themselves. The interaction leads to poles of the scattering matrix corresponding to bound states or resonances. We show that 11 states (either bound or resonant) get dynamically generated in nine strangeness-isospin-spin channels. Five of them can be identified with those reported in the PDG, i.e., the $f_0(1370)$, $f_0(1710)$, $f_2(1270)$, $f'_2(1525)$, and $K^*_2(1430)$. The masses of the latter three tensor states have been used to fine-tune the free parameters of the unitary approach, i.e., the subtraction constants in evaluating the vector meson -vector meson loop functions in the dimensional regularization scheme. The branching ratios of these five dynamically generated states are found to be consistent with data. The existence of the other six states should be taken as predictions to be tested by future experiments.

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Study of the $f_2(1270)$, $f_2'(1525)$, $f_0(1370)$ and $f_0(1710)$ in the $J/\psi$ radiative decays

E. Oset, R. Molina, B. S. Zou … (2009)

In this paper we present an approach to study the radiative decay modes of the $J/\psi$ into a photon and one of the tensor mesons $f_2(1270)$, $f'_2(1525)$, as well as the scalar ones $f_0(1370)$ and $f_0(1710)$. Especially we compare predictions that emerge from a scheme where the states appear dynamically in the solution of vector meson--vector meson scattering amplitudes to those from a (admittedly naive) quark model. We provide evidence that it might be possible to distinguish amongst the two scenarios, once improved data are available.

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Improved Analysis of J/psi Decays into a Vector Meson and Two Pseudoscalars

Ulf-G. Meißner, Timo A. Lähde (2006)

Recently, the BES collaboration has published an extensive partial wave analysis of experimental data on J/psi -> phi pi+pi-, J/psi -> omega pi+pi-, J/psi -> phi K+K- and J/psi -> omega K+K-. These new results are analyzed here, with full account of detection efficiencies, in the framework of a chiral unitary description with coupled-channel final state interactions between pi-pi and K-bar K pairs. The emission of a dimeson pair is described in terms of the strange and nonstrange scalar form factors of the pion and the kaon, which include the final state interaction and are constrained by unitarity and by matching to the next-to-leading-order chiral expressions. This procedure allows for a calculation of the S-wave component of the dimeson spectrum including the f_0(980) resonance, and for an estimation of the low-energy constants of Chiral Perturbation Theory, in particular the large N_c suppressed constants L_4^r and L_6^r. The decays in question are also sensitive to physics associated with OZI violation in the 0++ channel. It is found that the S-wave contributions to phi pi+pi-, phi K+K- and omega pi+pi- given by the BES partial-wave analysis may be very well fitted up to a dimeson center-of-mass energy of ~1.2 GeV, for a large and positive value of L_4^r and a value of L_6^r compatible with zero. An accurate determination of the amount of OZI violation in the J/psi -> phi pi+pi- decay is achieved, and the S-wave contribution to omega K+K- near threshold is predicted.

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Publication date Created: 12 June 2013

Publication date Updated: 2013-06-20

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DOI: 10.1140/epja/i2013-13130-8

ArXiV ID: 1306.2807

SO-VID: 752276d1-d2d9-4cb6-ac93-7ee90e17d77b

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http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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Comments 8 pages, 4 figs, misprints corrected and minor changes

Categories hep-ph nucl-th

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Tests on the molecular structure of \(f_2(1270)\), \(f'_2(1525)\) from \(\psi (nS)\) and \(\Upsilon (nS)\) decays

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Vector meson-vector meson interaction in a hidden gauge unitary approach

Study of the \(f_2(1270)\), \(f_2'(1525)\), \(f_0(1370)\) and \(f_0(1710)\) in the \(J/\psi\) radiative decays

Improved Analysis of J/psi Decays into a Vector Meson and Two Pseudoscalars

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