The pair distribution function for a system of hard sphere bosons has been performed replacing the hard sphere potential by the so-called pseudo-potential. The problem has been carried through using the quasi-particle formalism of Bogoliubov. In thin calculation one considers a system of bosons interacting via the pseudo-potential, which can be regarded as a weak interaction when the system is very dilute. The Hamiltonian of the system is diagonalized by means of a canonical transformation and this has the effect of separating the energy into two parts, one which is the ground state energy and the other one which corresponds to an ideal Bose gas composed of "elemen¬tary excitations" or quasl-particles. This formalism was applied to the calculation of the pair distribution function of our system.
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