Abstract:
The limit of zero interaction range is correctly defined for a system
of three spinless particles and three particles in a doublet state.
The scattering amplitude is expanded with respect to the interaction
range r, and the corrections of order rlnr, r, and r2ln2r are
found. An explicit model-independent asymptotic expression is obtained
for the scattering amplitude in terms of the scattering length, and its
accuracy is established.
Citation:
I. V. Simenog, D. V. Shapoval, “Interaction range perturbation theory for three-particle problem”, TMF, 75:2 (1988), 275–287; Theoret. and Math. Phys., 75:2 (1988), 522–531