We estimate four-nucleon force effects between different ⁴He wave functions by calculating the expectation values of four-nucleon potentials which were recently derived within the framework of chiral effective field theory. We find that the four-nucleon force is attractive for the wave functions with a totally symmetric momentum part. The additional binding energy provided by the long-ranged part of the four-nucleon force is of the order of a few hundred keV.

PACS numbers: 21.45.+v, 21.30.--x, 25.10.+s