The natural line of the incoherent quasi-elastic neutron scattering la
w of liquid potassium has been obtained from experimental double-diffe
rential scattering cross-sections at the temperatures of 340, 440, and
550 K for wavevector transfers in the range of 0.27 less than or equa
l to Q less than or equal to 1.13 Angstrom(-1). The full width at half
maximum of this line as a function of Q(2) has been analysed on the b
asis of several diffusion models. It has been found that the self-diff
usion process in liquid potassium has an individual and activationless
character and can be approximately described by means of the mode-cou
pling theory at temperatures noticeably more than the melting point.