Abstract
The S-wave state 3S1 and D-wave state 3D1 are investigated by applying the Salpeter equation. The coupled equations of the S-wave component and the D-wave component are obtained. In nonrelativistic limit, the coupled equations are decoupled and reduced to two Schrodinger equations describing the S-wave state and the D-wave state, respectively. It is shown that the S-D coupling will be of order v4 or of higher order. For vector mesons 1−−, the contribution to the decay constant comes only from the S-wave state in the nonrelativistic limit. Even when only the simple potential, the scalar and the zero component of the vector potential are considered and the orbit-spin term and tensor term are neglected, the D-wave contribution to the decay constant should also be considered in higher order.
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