Authors: Sylwester Kornowski
The Standard Model (SM) and experimental data show that the change of the up quark for down quark increases the mass of nucleon by about 1 MeV. On the other hand, SM and experimental results show that the same change in the doubly charmed baryons Xi decreases the mass by about 100 MeV. Within the SM we cannot explain such two major inconsistencies (i.e. 100 MeV instead 1 MeV and the increase-decrease asymmetry) so such problems suggest new physics. To save the SM, some scientists suggest that the first doubly charmed Xi, detected by the SELEX collaboration based at Fermilab, should disappear! Here, applying the atom-like structure of baryons that follows from the Scale-Symmetric Theory (SST), we calculated masses and I, J and P of baryon Delta, of many charmed and bottom baryons and masses of the two doubly charmed baryons Xi. Calculated mass of Xi_cc+ is 3519.08 MeV whereas of Xi_cc++ is 3621.90 MeV - the results are consistent with experimental data. The other theoretical masses obtained here are very close to experimental results. We present a generalized scheme that is very helpful in calculating masses and other physical quantities that characterize baryons. Charmed baryons contain relativistic, positively charged pion in the d = 0 state which mass is 1256.6 MeV - this mass is close to the mass of the charm quark (in SST it is 1267 MeV) so the quark model can mimic presented here the atom-like theory of baryons. On the other hand, relativistic mass of charged kaon in the d = 0 state is 4444.9 MeV so it can mimic the mass of the bottom quark (in SST it is 4190 MeV).
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