Radial excited heavy mesons *

Abstract

In this study, the first radial excited heavy pseudoscalar and vector mesons ( , , , , , and ) are investigated using the Dyson-Schwinger equation and Bethe-Salpeter equation approach. It is shown that the effective interactions of the radial excited states are harder than those of the ground states. With the interaction well determined by fitting the masses and leptonic decay constants of and , the first radial excited heavy mesons could be quantitatively described in the rainbow ladder approximation. The masses and leptonic decay constants of , , , and are predicted.

Decay constants of B c (nS) and (nS)*

“…From a theoretical aspect, the mass spectrum and the decays of mesons are investigated by various methods; for example, the quark model [9][10][11][12][13][14], the light-front quark model [15][16][17], the QCD sum rule [18][19][20], the QCD factorization [17,[21][22][23][24], the instantaneous approximation Bethe-Salpeter equation [25,26], the continuum QCD approach [27][28][29], the lattice QCD [30] and other methods [31][32][33]. The quark model, with the interaction motivated by quantum chromodynamics (QCD), is quite successful in describing the hadron spectrum and decay branching ratios; see Refs.…”