By using a variant of the quantum inverse scattering method, commutation relations
between all elements of the quantum monodromy matrix of the bosonic massive
Thirring (BMT) model are obtained. Using those relations, the quantum integrability
of BMT model is established and the S-matrix of two-body scattering
between the corresponding quasiparticles has been obtained. It is observed that for
some special values of the coupling constant, there exists an upper bound on the
number of quasiparticles that can form a quantum-soliton state of the BMT model.
We also calculate the binding energy for a N-soliton state of the quantum BMT
model