  We study the range correction in the weak-binding relation, which relates the
internal structure of hadrons with the scattering length and the binding
energy. Utilizing the effective field theories, we show that the effective
range originates from the derivative coupling interaction as well as from the
channel coupling to the bare state, and that the different contributions are
not distinguishable. By examining the compositeness in the effective field
theories, it is demonstrated that the effective range induces the finite range
correction for the weak-binding relation in addition to the previously known
contributions. We thus propose to include the range correction in the
uncertainty terms of the weak-binding relation.
