Measurement of the sigma^o Lifetime Page: 3 of 15
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In the elastic (p,p) scattering at high incident laboratory energy
EP and low momentum transfer t, the differential cross-section can be
approximately given by
da _das ebt/2
dt dt t=0
where ebt/2 = nucleon form factor and b = slope parameter. This approxima-
tion was deduced by applying the Regge Pole Theory to the relativistic
casel'. The value of b has been measured in some 20 different
experiments. The pre-1971 data2,4,5,6,7, which were obtained at Ep up to
70 GeV, agree well with the prediction based on this approximation. It was
found to be a linear function of s (total c.m. energy squared) or simply E
(because s l' 2 mpEp in the (p,p) relativistic scatterings). Specifically
speaking, the measured b value increased from 7.5 to 11(GeV/c)-2 when EP
changed from 2 to 70 GeV. However, the 1971 data obtained from the (p,p)
scattering at the c.m. energies (15.34 + 15.34) GeV and (22.47 + 22.47) GeV
at the CERN ISRS yield the value of b which was significantly less than
expected from the extrapolation using the pre-1971 findings. This fact
indicated that the Regge pole approximation may not be valid at very high
energies. Since no data are available yet at the EP range from 70 GeV
to 500 GeV, further experiments are needed in order to check the ISR data,
With this in mind and in view of the forthcoming Batavia proton beams with
an energy up to 500 GeV, we propose to measure the value of b at this energy
gap as function of s and t in order to see whether the behavior of b within
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Devlin, T.J.; U., /Rutgers; March, R.H.; Pondrom, L.G.; U., /Wisconsin; Overseth, O.E. et al. Measurement of the sigma^o Lifetime, report, March 1, 1972; Batavia, Illinois. (digital.library.unt.edu/ark:/67531/metadc1014801/m1/3/: accessed October 19, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.