On the spectral functions of scalar mesons

Abstract

In this work we study the spectral functions of scalar mesons in one- and two-channel cases. When the propagators satisfy the Källen-Lehman representation a normalized spectral function is obtained, allowing to take into account finite-width effects in the evaluation of decay rates. In the one-channel case, suitable to the light sigma and k mesons, the spectral function can deviate consistently from a Breit-Wigner shape. In the two-channel case with one subthreshold channel the evaluated spectral function is well approximated by a Flatte' distribution; when applying the study to the a_0(980) and f_0(980) mesons the tree-level forbidden KK decay is analysed.

13 pages, 7 figures

References in corpus (5)

• A low-lying scalar meson nonet in a unitarized meson model
• Nature of the f_0(600) from its N_c dependence at two loops in unitarized Chiral Perturbation Theory
• Mixing of scalar tetraquark and quarkonia states in a chiral approach
• Investigation of a0-f0 mixing
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Cited by in corpus (6)

• f0(980) meson as a K bar K molecule in a phenomenological Lagrangian approach
• On the two-photon decay width of the sigma meson
• Radiative $\varphi$ decays with derivative interactions
• Two-photon decay of a light scalar quark-antiquark state
• Interpretation of K+K0bar pair production in pp collisions
• Light scalars as tetraquarks: decays and mixing with quarkonia