Abstract
We compute the scalar and pseudoscalar spectral functions by using their form factors calculated within the unitarized U(3) chiral perturbation theory (�PT). The extrapolation to larger values of NC and the spectral function sum rules are discussed as well. Some interesting features of the scalar spectral functions are revealed.
Highlights
Spectral function or the absorptive part of two-point current-current correlator plays important roles in hadron physics
In the asymptotic energy regime, operator production expansion (OPE) supplies a reliable way to compute the currentcurrent correlators, where the perturbative dynamics is collected in the Wilson coefficients and the nonperturbative effects are represented by the non-vanishing operator condensates
Refs. [7,8,9,10], we first fit the free parameters in our theory to meson-meson scattering data and scalar and pseudoscalar spectral functions calculated within the framework of unitarized U(3) χPT with explicit exchanges of resonances are predicted
Summary
Spectral function or the absorptive part of two-point current-current correlator plays important roles in hadron physics. We compute the scalar and pseudoscalar spectral functions by using their form factors calculated within the unitarized U(3) chiral perturbation theory (χPT). We need to calculate the spectral functions in the nonperturbative energy region as well.
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