New developments in the theory of heavy quarkonia
The new approach to decays of heavy quarkonia, based on factorization and expansions in powers of the relative velocity of the valence quarks is reviewed.
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Publications and source records attributed to Kacper Zalewski.
The new approach to decays of heavy quarkonia, based on factorization and expansions in powers of the relative velocity of the valence quarks is reviewed.
Two complementary approaches to the theory of heavy quarkonia are discussed. The nonrelativistic potential models give amazingly accurate predictions, but lack a theoretical justification. The expansion in powers of $v/c$ is theoretically very acceptable, but is not as good in giving numerical predictions. The importance of combining these two approaches is stressed.
Simple and plausible rules are used to correlate the masses of the ground-state baryons containing single heavy ($b$ or $c$) quarks. A comparison with the experimental data shows that the observed mass difference between the $Σ_b$ and the $Σ^*_b$ is unexpectedly large. Predictions for the masses of the yet undiscovered heavy baryons are given.
The masses of the yet undiscovered baryons containing single $c$ or $b$ quarks are estimated from the known masses using the following rules: equal distances in mass between the isomultiplets forming sextets, equal mass differences between the corresponding spin one-half baryons containing $c$ and $b$ quarks, hyperfine splittings inversely proportional to the masses of the heavy quarks.
Selected problems in heavy quark physics are discussed. The wealth of research problems in this field of physics is stressed.
Some recent results and problems in the theory of particles containing heavy quarks ar reviewed.
A systematic study of a wide class of nonrelativistic models of $b\overline{b}$ quarkonia is described. It is found that the potential $V(r) = 0.706380(\sqrt{r} - \frac{0.460442}{r}) + 8.81715$ (all in GeV) with the $b$-quark mass $m_b = 4.80303$ GeV gives a satisfactory description of the experimental data below the threshold for strong decays ($ χ^2/DF = 6.5/7$). Limitations and implications of this observation are discussed.