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Additional resources for Autonomous Control of Nuclear Powerplants [short article]
The K+N and NN total cross-sections exhibit only a small number of structures, none of which is as pronounced as in the πΝ or K~N systems. Moreover, most of the structures do not have the appearance of symmetric peaks. Their interpretation is, at present, unsettled. The pN total cross-sections decrease almost smoothly with increasing energy, apart from a number of small bumps, whose most probable interpretation is in terms of pionic resonances. Assuming that the structures in the pure isospin total cross-sections arise from the formation of resonances, they may be fitted by a superposition of Breit-Wigner formulae plus a non-resonant background, described mathematically by a polynomial of the cm.
0-80 1-08 1-70 2-28 2-92 1 1 1 1 1 1 5/25/2 + 7/2 + 9/2~? 11/2 + ? 13/2"? M (MeV) 1697 1830 2107 2344 2585 Γ (MeV) (J + i)x (mb) 4πλ2 (mb) Elasticity X 0-54 2-44 1-57 0-93 1-00 13-9 38-4 13-4 5-5 4-4 25-8 160 8-56 5-89 4-36 0-27 0-81 0-39 019 ? 10 10 10 10 10 15 63 92 185 186 300 110 90 120 17-0 140 175 110 0-20 0-60 0-50 0-39 0-32 21-6 2-6 60 3-4 2-0 1-3 19-6 12-83 1000 6-73 5-10 4-25 0-37 0-07 015 0-10? 0-06? 0-05? 44 5-49 6-71 3-12 3-66 411 5-08 600 6-81 1765 ± 1912 ± 2027 ± 2253 + 2455 + 2620 ± Zî(1780) Ζ*(1858) Ζϊ(1900) Ζ*(2150) Ζ*(2500) +1 +1 +1 +1 +1 0 0 1 1 1 1/1?
Moreover, the computation with some approximation of the errors allows a more clear discussion of the statistical significance of the results. 4. Analysis of the Experimental Errors The results of many high-precision total cross-section measurements exhibit very closely the same behaviour versus energy, but often disagree on the absolute scale. The discrepancies are particularly important for the deuterium measurements. The point-to-point errors over a typical resonance width are comparable to the statistical error, which is typically ±0*1%.