Monte Carlo simulation of finite mass nucleons interacting via a neutral, scalar boson field

A recently proposed Monte Carlo method to solve the Schroedinger equation when expressed in Fock space is applied to the hamiltonian which describes the interaction of nucleons via a neutral, scalar boson field. The fact that a nucleon has finite mass is taken into account and a gaussian cut-off for the nucleon form factor is adopted. The problem is solved for systems with A=1 and 2 sources (nucleons) in the three-dimensional continuous space. From the results for A=1 a bare nucleon mass, mBc2=962.58±0.06 MeV, is obtained. This value is used to determine the binding energy for an A=2 system by means of this new algorithm. The result, B(2)=2.14±0.50 MeV, is consistent with the value corresponding to the static potential approximation. (orig.)