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We perform three-dimensional radiation non-ideal magnetohydrodynamicssimulations and investigate the impact of the Hall effect on the angularmomentum evolution in the collapsing cloud cores in which the magnetic field$\magB$ and angular momentum $\angJ$ are misaligned with each other. We findthat the Hall effect notably changes the magnetic torques in the pseudo-disk,and strengthens and weakens the magnetic braking in cores with an acute andobtuse relative angles between $\magB$ and $\angJ$, respectively. This suggeststhat the bimodal evolution of the disk size may occur in early diskevolutionary phase even if $\magB$ and $\angJ$ are randomly distributed. Weshow that a counter-rotating envelope form in the upper envelope of thepseudo-disk in cloud cores with obtuse relative angles. We also find that acounter-rotating region forms at the midplane of the pseudo-disk in cloud coreswith acute relative angles. The former and latter types of counter-rotatingenvelopes may be associated with the YSOs with a large ($r\sim100$ AU) andsmall ($r\lesssim10$ AU) disks, respectively.

The impact of the Hall effect during cloud core collapse:implications for circumstellar disk evolution