Study On The Light-cone Sum Rule For The D~*D? And B~*B? Strong Coupling Constants In The Next-to-leading Order

There have been a lot of discussion about the DD?*and BB?*coupling constants in the framework of the light-cone QCD sum rule, but the numerical results of light-cone QCD sum rule are much smaller than the CLEO experimental value. In this paper, a new approach is presented to address this issue.We assume that the coupling constants related to the excited state alternate between the positive and negative value, and isolate theDD?g*andDD?g*'terms in the hadron expression for the correlation function. We work at the twist-2 next-to-leading order and employ two different fitting methods to achieve the sum rule results. A self-consistent result is obtained : 98.33;4.42.14**????BBDD??gg. Obviously, the improved approach can provide a sum rule prediction more close to the experiment data.