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We report results of both the Diffusion Quantum Monte Carlo (DMC) andReptation Quantum Monte Carlo (RMC) methods on the potential energy curve ofthe helium dimer. We show that it is possible to obtain a highly accuratedescription of the helium dimer. An improved stochastic reconfigurationtechnique is employed to optimize the many-body wave function, which is thestarting point for highly accurate simulations based on the Diffusion QuantumMonte Carlo (DMC) and Reptation Quantum Monte Carlo (RMC) methods. We find thatthe results of these methods are in excellent agreement with the besttheoretical results at short range, especially the recently developed ReptationQuantum Monte Carlo (RMC) method, yield particularly accurate results withreduced statistical error, which gives very excellent agreement across thewhole potential curve. For the equilibrium internuclear distance of 5.6 bohr,the calculated total energy with Reptation Quantum Monte Carlo (RMC) method is-5.807483599$\pm$0.16 hartrees and the corresponding well depth is-11.003$\pm$0.005 K.

Quantum Monte Carlo calculations of the potential energy curve of the helium dimer