Meson loops in the f0(980) and a0(980) radiative decays into ρ , ω

Abstract

Abstract. We calculate the radiative decay widths of the a0(980) and f0(980) scalar mesons into ργ and ωγ considering the dynamically generated nature of these scalar resonances within the realm of the Chiral Unitary Approach. The main ingredient in the evaluation of the radiative width of the scalar mesons are the loops coming from the decay into their constituent pseudoscalar-pseudoscalar components and the subsequent radiation of the photon. The dominant diagrams with only pseudoscalar mesons in the loops are found to be convergent while the divergence of those with a vector meson in the loop are written in terms of the two meson loop function easily regularizable. We provide results for all the possible charge channels and obtain results, with uncertainties, which differ significantly from quark loops models and some version of vector meson dominance.

Dynamically generated resonances from the vector octet-baryon octet interaction

“…The mass distributions of the ρ and K * mesons are sufficiently extended to advise a more accurate calculation that takes this large width into account. We follow the traditional method of convoluting the G function with the mass distributions of the ρ or K * mesons, as is customarily made [41]. One can prove that this convolution is equivalent to calculating the loop function with the dressed vector meson propagator written in terms of its Lehmann representation, as is done in calculations of medium effects in the scattering matrices [43].…”

Explanation of theΔ5/2−(1930)as aρΔGonzález1, Oset2, Vijande3 2009Phys. Rev. CSelf Cite714951View full textAdd to dashboardCite

“…However, this is not strictly true since the ρ and ∆ have a large width, or equivalently a mass distribution that allows the states obtained to decay in ρ∆ for the low mass components of the ρ and ∆ mass distributions. To take this into account we follow the usual procedure consisting in convoluting the G function with the mass distributions of the ρ and ∆ [19] so that the G function is replaced byG as follows…”

Probing charmoniumlike stateX(3915)through meson photoproduction

“…(3), one obtains e/ f J/ψ = 0.027. Under the assignment of quantum number J PC = 0 ++ to X(3915) [2,3], the interaction of X(3915) with J/ψω can be depicted by [27,28] …”