Mass spectra and Regge trajectories of light mesons in the relativistic quark model

Abstract

Masses of the ground, orbitally and radially excited states of quark-antiquark mesons composed from the light (u, d, s) quarks are calculated within the framework of the relativistic quark model based on the quasipotential approach. The relativistic treatment of the light quark dynamics results in mass spectra which agree well with available experimental data for the masses of the most well-established states. The Regge trajectories for angular and radial excitations are constructed, and their linearity, parallelism and equidistance are verified. The assignment of experimentally observed light mesons to particular Regge trajectories is based on their masses and quantum numbers.

Charmless weakBsdecays in the relativistic quark model

“…In our calculations of the decay form factors we use the wave functions of the B s and K mesons obtained previously in their mass spectra evaluations [4,5]. In Table I we compare our predictions for the masses of the ground state and lowest orbitally excited strange mesons [5] with available experimental data [2]. We find satisfactory agreement of our predictions with data.…”

“…The advantage of (15) our model consists in its ability to explicitly determine the corresponding decay form factors as the overlap integrals of meson wave functions in the whole kinematical range without any additional assumptions and extrapolations. In our calculations of the decay form factors we use the wave functions of the B s and K mesons obtained previously in their mass spectra evaluations [4,5]. In Table I we compare our predictions for the masses of the ground state and lowest orbitally excited strange mesons [5] with available experimental data [2].…”

“…The masses of physical states are obtained by diagonalizing the mixing terms. The found value of the mixing angle, ϕ = 43.8 • [5], implies that physical K 1 mesons are nearly equal mixtures of the spin-singlet K( 1 P 1 ) and spin-triplet K( 3 P 1 ) states in accord with the experimental data [2]. We calculate the matrix elements of the weak current between the initial B s meson and final orbitally excited P -wave K ( * ) J meson using the procedure described above and compare the result with the invariant decomposition (22)- (27).…”

“…[11,12]. For the numerical evaluations of the corresponding overlap integrals we use the quasipotential wave functions of B s and K ( * ) mesons obtained in their mass spectra calculations [4,5].…”

Strangeness at Intermediate Baryon Density

“…The HRG model prediction is in better agreement with lattice QCD calculations [29] if additional (strange) hadron resonances are included which are predicted by the quark model [30,31] but until today unobserved (such a setup of the HRG model is denoted as QM-HRG). The µ S /µ B and µ B /T ratios were obtained by a statistical thermal model [32] fitting data for strange-baryon ratios Λ/Λ, Ξ + /Ξ − , and Ω + /Ω − and are shown in Fig.…”