Calculate the minimum beam energy in a proton-proton collider to initiate the p + p †’ p + p + η⁰ reaction. The rest energy of the η⁰is 547.3 MeV (see Table 44.3).

Table 44.3

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Some Hadrons and Their Properties Typical Decay Modes Charge Ratio, Baryon Number, Mass Strangeness, Mean Quark Content (MeV/c) Lifetime (s) Particle Qle Spin в Mesons 8.4 x 10-17 2.60 x 10-8 2.60 x 108 1.24 x 10-8 1.24 x 10-8 10-18 ии, dd 135.0 139.6 +1 ud 139.6 ud K+ 493.7 +1 us 493.7 -1 ИS 547.3 ии, dd, ss Baryons 938.3 +1 Stable иud 939.6 ре ве 886 udd ло Σ. 2.63 x 10-10 1116 1 uds P or pm° or na+ л°у 8.02 x 10-11 1189 +1 1 иus 1193 7.4 x 10-20 uds 1.48 x 10-10 2.90 x 10-10 1197 -1 dds A"," ло- 1315 uss 1.64 x 10-10 e 10-23 8.2 x 10-11 2.0 x 10-13 1321 -1 -2 dss 1232 +2 иии Ω. ок- 1672 -1 -3 SSS л 2285 pK¯+ +1 ude -K-121N mie m 12