Heavy-light mesons and quark constantsf B,f D in the vacuum correlator method

Abstract

Quark constantsfM and masses ofB, D, andDS mesons are calculated using the vacuum correlator method, suggested recently for long-distance nonperturbative QCD. The dynamical input is standard current quark masses, string tension and αs(ΛQCD). The electronic width of ϱ, ω and ϕ calculated with the same parameters agrees with experiment. Hyperfine splitting ofD, Ds mesons is also reproduced. The resulting values offB,fD,fDs are 0.17, 0.21 and 0.25 GeV, respectively;fD andfDs are within recent experimental bounds. It is shown thatfM does obey the asymptoticM−1/2 law forM>5 GeV.