On the spectral functions of scalar mesons

Details On the spectral functions of scalar mesons On the spectral functions of scalar mesons

2007-07-24

arxiv.org/abs/0707.3594v2

Phys.Rev.C76:065204,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 7 figures

Scientific paper

10.1103/PhysRevC.76.065204

In this work we study the spectral functions of scalar mesons in one- and two-channel cases. When the propagators satisfy the K\"allen-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.

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