What all methods are there to deaden a nerve to cope with nerve pain

On another forum I was talking to someone about nerve pain disorders like sciatica or cluster headaches. These illnesses are due to a particular nerve sending pain signals to the brain.

So I know there are a lot of treatments for nerve pain, but what all treatments are there when a doctor decides to just deaden the nerve so it can’t send pain signals to the brain anymore?

Off the top of my head I know about

Radiofrequency ablation
Cryonic freezing
Cutting the nerve

Anything else? Are there long acting chemicals that can be used (other than botox)? Like novocaine, but something that lasts for 3 months instead of 3 hours?

My husband has had rhizotomies. They give him about a month of relief. Other than that he’s on the heavy duty pain pills.