Search for the scalar a0 and f0 mesons in the reactions e+ e- ---> gamma pi0 pi0 (eta)

Mar, 1997

31 pages

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Abstract:

It is shown that the reactions

e^+e^-\to\gamma\pi^0\pi^0(\eta)

give a good chance for observing scalar

a_0

and

f_0

mesons. In the photon energy region less then 100 MeV the vector meson contributions

e^+e^-\to V^0\to\pi^0 V'^0\to\gamma\pi^0\pi^0(\eta)

are negligible in comparison with the scalar mesons

e^+e^-\to\phi\to\gamma f_0(a_0)\to\gamma\pi^0\pi^0(\eta)

for

BR(\phi\to\gamma f_0(a_0)\to\gamma\pi^0\pi^0(\eta))

greater than

5\cdot10^{-6}(10^{-5})

. Using two-channel treatment of the

\pi\pi

scattering the predictions for

BR(\phi\to\gamma (f_0+\sigma)\to\gamma\pi\pi)

are derived. The four quark model, the model of

K\bar K

molecule and the

s\bar s

model of scalar

f_0

and

a_0

mesons are discussed.

Note:

31 pages, 10 ps files of figures, minor numerical changes, Appendix corrected, to be published in Phys.Rev.D Report-no: IM RAS SB NNA 1-97

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