Griffiths Introduction to Elementary Particles · Problem 1.16

Elementary Particle Dynamics — David J. Griffiths

Physics — QFT · quark-masses-baryon-octet-binding-energy

Problem

De Rujula, Georgi, and Glashow [Phys.\ Rev.\ D12, 147 (1975)] estimated the quark masses to be: mu∼md=336m_u \sim m_d = 336 MeV/c2c^2, ms=540m_s = 540 MeV/c2c^2, and mc=1500m_c = 1500 MeV/c2c^2 (the bottom quark is about 4500 MeV/c2c^2). If they are right, the average binding energy for members of the baryon octet is −62-62 MeV. If they all had exactly this binding energy, what would their masses be? Compare the actual values, and give the percent error. (Don't try this on the other supermultiplets, however. There really is no reason to suppose the binding energy is the same for all members of the group. The problem of hadron masses is a thorny issue, to which we shall return in Chapter 5.)

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