Decay constants of the heavy-light mesons from the field correlator method

Meson Green's functions and decay constants f(Gamma) in different channels Gamma are calculated using the field correlator method. Both, spectrum and f(Gamma), appear to be expressed only through universal constants: the string tension sigma, alpha(s), and the pole quark masses. For the S-wave states the calculated masses agree with the experimental numbers within +/- 5 MeV. For the D and D-s mesons the values of f(P)(1S) are equal to 210(10) and 260(10) MeV, respectively, and their ratio f(Ds)/f(D)=1.24(3), agrees with a recent CLEO experiment. The values f(P)(1S)=182, 216, 438 MeV are obtained for the B, B-s, and B-c mesons with the ratio f(Bs)/f(B)=1.19(2) and f(D)/f(B)=1.14(2). The decay constants f(P)(2S) for the first radial excitations as well as the decay constants f(V)(1S) in the vector channel are also calculated. The difference of about 20% between f(Ds) and f(D), f(Bs) and f(B) directly follows from our analytical formulas.