Meson-meson interactions and Regge propagators

Abstract

By a reformulation of the loop expansion in the Resonance-Spectrum-Expansion amplitude for meson-meson scattering, in terms of s-channel exchange of families of propagator modes, we obtain a formalism which allows for a wider range of applications. The connection with the unitarized amplitudes employed in some chiral theories is discussed. We also define an alternative for the Regge spectra and indicate how this may be observed in experiment.

21 pages plain LaTeX with 3 figures

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• Multichannel calculation of excited vector $\varphi$ resonances and the $\varphi (2170)$
• Interference effects in the X(4260) signal
• Modern meson spectroscopy: the fundamental role of unitarity
• Quasi-bound states in the continuum: a dynamical coupled-channel calculation of axial-vector charmed mesons
• The phi(1020) a0(980) S-wave scattering and hints for a new vector-isovector resonance
• Remarks on meson loop effects on quark models
• The Y(4140), X(4260), psi(2D), psi(4S) and tentative psi(3D)
• Towards Meson Spectroscopy Instead of Bump Hunting
• Mass and width of the Upsilon(4S)
• Second resonance of the Higgs field: motivations, experimental signals, unitarity constraints
• Dynamical generation of hadronic resonances in effective models with derivative interactions
• Unitary model analysis of $f_0(500)$ pole positions by continuously varying $m_{\pi }$: comparison with discrete lattice predictions
• Understanding the $f_0(980)$ and $a_0(980)$ masses as well as their widths
• Heavy Quark Coupled Channel Dynamics from Thermal Shifts
• Complex masses in the S-matrix