Equality of e + e - Production amplitudes for scalar-vector and pseudoscalar-axial heavy meson-antimeson pairs

The production of heavy meson-antimeson pairs of the type SV and PA in e+e- annihilation is considered, with P and V being the ground-state JP=0- and JP=1- (anti)mesons from the (1/2)- doublet and S and A standing for the excited JP=0+ and JP=1+ (anti)mesons from the (1/2)+ doublet. It is argued that the production amplitudes in these two channels should be equal up to a higher (than one) order in the heavy quark mass (ΛQCD/MQ) expansion, A(e+e-→SV̄)=A(e+e-→AP̄), including both the S-wave and the D-wave amplitudes. Given that the SV and PA thresholds are extremely close, the production cross section in both channels should be the same to a high degree of accuracy. In practice, this behavior can be studied for the processes e+e-→Ds0(2317)D̄s∗+c.c. and e+e-→Ds1(2460)D̄s+c.c. in the charm sector and e+e-→Bs0B̄s∗+c.c. and e+e-→Bs1B̄s+c.c. in the B sector.