Scalar mesons and multichannel amplitudes |
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Authors: | R Kamiński L Leśniak B Loiseau |
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Institution: | (1) Department of Theoretical Physics, H. Niewodniczański Institute of Nuclear Physics, PL 31-342 Kraków, Poland , PL;(2) LPTPE Université P. et M. Curie, 4, Place Jussieu, F-75252 Paris Cedex 05, France , FR |
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Abstract: | Properties of scalar–isoscalar mesons are analyzed in a unitary model using separable interactions in three decay channels:
$\pi\pi, and an effective . We obtain different solutions by fitting various data on the and phase shifts and inelasticities including the CERN–Cracow–Munich measurements of the reaction on a polarized target. The analytical structure of the meson–meson multichannel amplitudes is studied with special
emphasis on the role played by the S-matrix zeroes. S-matrix poles, located in the complex energy plane not too far from the physical region, are interpreted as scalar resonances.
We see a wide , a narrow and a relatively narrow . In one of our solutions a resonance at about 1700 MeV is also found. Total, elastic and inelastic channel cross sections,
branching ratios and coupling constants are evaluated and compared with available data. We construct an approximation to our
model and show that the Breit–Wigner approach has a limited phenomenological applicability.
Received: 19 October 1998 / Revised version: 25 January 1999 / Published online: 15 April 1999 |
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