Electrical transport measurements were performed on single electrodeposited superconducting lead nanowires (330 nm diameter) by applying a magnetic field parallel to the wire axis. We observe a vortex penetration while the nanowire is in the dissipative state generated by a phase-slip center. This results in a hysteresis in the resistance-current curves. A drop of the forward critical current leads to the disappearance of this hysteresis when the magnetic field is strong enough to stabilize the vortex at zero current. While the temperature is increased, lower magnetic fields are required to stabilize this vortex.
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