Masses of heavy hadrons in quark model

Some mass relations for mesons and baryons in Regge phenomenology

“…From Tables 3-1, 3-2 and 4, we can see that the inequalities (26), (29), (30) and (31) agree well with the existing experimental data [15]. These inequalities (26), (29), (30) and (31) indicate the existence of higherorder breaking effects.…”

“…In Ref. [18], Nussinov and Lampert showed that the linear meson mass inequality (26) satisfies the experimental data of the well-established meson multiplets (vector 1 3 S 1 , tensor 1 3 P 2 , axial-vector 1 3 P 1 and scalar 1 3 P 0 ) with different flavor combinations of i and j, and the linear baryon mass inequality (30) satisfies the experimental data of the baryon octet and the baryon decuplet.…”

“…The linear forms of Eqs. (52a)-(52f) were derived by Singh and Khanna in the nonrelativistic additive quark model [30] and by Singh using broken SU(6) internal symmetry including second-order mass contributions [31]. We will show some arguments in Sec.…”

Baryons with two heavy quarks

“…Finally, in [35] the analysis given in [36] was modified on the basis of interpolation formulae for the mass of ground state with account for the dependence of spin forces on both the wave functions and the effective coupling constant, which were changed under the quark contents of hadrons. In this way, the parameter of energy shift enters the fitting function, so that this parameter essentially changes under the transition from the description of mesons to baryons:…”

“…In the leading logarithmic approximation and to the one-loop accuracy, the coefficient K J is given by the expression 36) where β 0 = 11N c /3 − 2n f /3 = 9. To evaluate the two-loop expression for C J we have to know subleading corrections in the first α s order in addition to the anomalous dimensions.…”