Two-photon physics Page: 5 of 30
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5
III. RESONANCE PRODUCTION
In 1960, Lowl suggested that the a0 lifetime could be
determined by observing its production in e +e collisions
via the two photon process. He derived an expression which
relates the production cross-section to the partial decay
width into two photons. This expression, generalized to
arbitrary spin, is given by
a(e+ e- + e-R) = (2alns/4M ) 2 f(2/S).(2J+l) *r(R+yy)/M
where
f(t) = (1/2) * (2+T))2ln(l/T)-(1-T) (3+T)
and s the total energy squared.
In addition to the 1r0, even charge conjugation
resonances can be produced through the two photon process
which are not observable through annihilation. Among these
possible resonances are T 0,a'n,f,f',A2, quarkonia
(nc' Xc'flb'Xb), gluonia, Higg's bosons, technibosons, etc.
Of course these resonances are not produced with equal
efficiency. A comprehensive review by Gilmanis uses various
theoretical and experimental estimates of the partial widths
to predict production cross-sections. We present his
estimates for an electron beam energy of 15GeV; tables for
other energies can be computed directly or found in Gilman's
review.
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Bardeen, W.A. Two-photon physics, article, October 1, 1981; Batavia, Illinois. (https://digital.library.unt.edu/ark:/67531/metadc1055419/m1/5/: accessed July 16, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.