The pi pi S wave in the 1-GeV to 2-GeV region from a pi pi, anti-K K and rho rho (omega omega) coupled channel model

Kloet, W.M.; Loiseau, B.

doi:10.1007/BF01295901

The pi pi S wave in the 1-GeV to 2-GeV region from a pi pi, anti-K K and rho rho (omega omega) coupled channel model

W.M. Kloet
(
- Rutgers U., Piscataway
)
,
B. Loiseau
(
- Orsay, IPN and
- Paris U., VI-VII
)

Aug, 1994

15 pages

Published in:

Z.Phys.A 353 (1995) 227-230

e-Print:

nucl-th/9408025 [nucl-th]

DOI:

10.1007/BF01295901

Report number:

RU-94-69

View in:

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Abstract:

A simple

\pi \pi

,

\bar{K}K

, and

\rho \rho

(

\omega \omega

) fully coupled channel model is proposed to predict the isoscalar S-wave phase shifts and inelasticities for

\pi \pi

scattering in the 1.0 to 2.0 GeV region. The S-matrix is required to exhibit poles corresponding to the established isoscalar J

~{\pi}

= 0

~+

resonances f

_0

(975), f

_0

(1400), and f

_0

(1710). A dominant feature of the experimental

\pi \pi

inelasticity is the clear opening of the

\bar{K}K

channel near 1 GeV, and the opening of another channel in the 1.4 - 1.5 GeV region. The success of our model in predicting this observed dramatic energy dependence indicates that the effect of multi-pion channels is adequately described by the

\pi \pi

coupling to the

\bar{K}K

channel, the

\rho \rho

(4

\pi

) and

\omega \omega

(6

\pi

) channels.

Note:

11 pages (Revtex 3.0), 4 figs. avail. upon request, RU9469

pi pi: interaction
interaction: pi pi
partial wave analysis: coupled channel
Schroedinger equation: solution
separable potential
S-matrix: pole
energy dependence
numerical calculations: interpretation of experiments
pi pi --> K anti-K
pi pi --> 2rho(770)

References(10)

Figures(0)

Coupled Channel Dynamics Close to a Threshold: Phenomenology of the F0 (975) Meson

F. Cannata
(
- Bologna U.
)
,
J.P. Dedonder
(
- Orsay, IPN and
- Paris U., VI-VII
)
,
L. Lesniak
(
- Cracow, INP
)

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•
DOI:
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$\pi \pi$ and $K \bar{K}$ Channel Coupling and Scalar Mesons

F. Cannata
(
- Bologna U.
)
,
J.P. Dedonder
(
- Orsay, IPN and
- Paris U., VI-VII
)
,
L. Lesniak
(
- Cracow, INP
)

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pi pi and K anti-K channel coupling. 2. The f0 (975) meson and K anti-K threshold effects

F. Cannata
(
- Bologna U. and
- INFN, Bologna
)
,
J.P. Dedonder
(
- Paris U., VI-VII and
- Orsay, IPN
)
,
L. Lesniak
(
- Cracow, INP
)

- Z.Phys.A 343 (1992) 451-460,
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•
DOI:
- 10.1007/BF01289822