Proposal to study pi- p --> pi0n and pi- p --> eta n at high energy Page: 29 of 37
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calculated values of a(Kp), together with the experimental limits are
plotted in Fig. 6.
Case I seems to disagree with the data. In case II we can explain
the discrepancy by means of the subtraction term. To fit a(K+p), we can
choose either one of two values, depending on the sign of a, which cannot
be determined by this method. We find for K = 3.3,
2 a(K+p) < 0 , a(K-p) > 0
-1.6 a(Kep) > 0 , a(Kp) < 0
c = -1.6 is ruled out because it gives a(K p) - -0.65. Hence we conclude
that a(K+p) < 0 and a(K-p) > 0. The data points for a(K+p) were plotted
under this assumption in Fig. 6. The errors are clearly very large, and
allow us to safely ignore the subthreshold singularities.
The general features of srp dispersion relations appear also in Kp.
The logarithmic behavior is magnified because 20(} ~ 4 mb. Hoever, at
present energies the bulk of the real part seems to come from the sub-
traction term, and not from the logarithmic one. In fact, these appear to
have opposite signs. Thus we expect Jai to actually fall until very high
energies, when a changes signs and al begins to grow again. As in np,
the real part does not dominate until extremely high energies.
The difference between the pion and the kaon amplitudes lies in the
energy range below the cutoff point. The usual Regge picture -- which
assumes the Pomeranchuk theorem to hold -- is compatible with experiment
for the pions, but appears not to be so for the kaons. In the latter case,
the existence of an additional real term seems to be implied by the data.
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Tollestrup, A.V.; Walker, R.L. & /Caltech. Proposal to study pi- p --> pi0n and pi- p --> eta n at high energy, report, June 1, 1970; Batavia, Illinois. (digital.library.unt.edu/ark:/67531/metadc887653/m1/29/: accessed November 16, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.