The Collaborative International Dictionary of English v.0.48:

Narcotize \Nar"co*tize\ (n[aum]r"k[-o]*t[imac]z), v. t. [imp. &
   p. p. Narcotized (n[aum]r"k[-o]*t[imac]zd); p. pr. & vb. n.
   Narcotizing (n[aum]r"k[-o]*t[imac]*z[i^]ng).]
   To imbue with, or subject to the influence of, a narcotic; to
   put into a state of narcosis.
   [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

narcotized \narcotized\ adj.
   under the influence of narcotics.

   Syn: doped, drugged.
        [WordNet 1.5]

WordNet (r) 3.0 (2006):

narcotized
    adj 1: under the influence of narcotics; "knocked out by doped
           wine"; "a drugged sleep"; "were under the effect of the
           drugged sweets"; "in a stuperous narcotized state" [syn:
           doped, drugged, narcotized, narcotised]

Moby Thesaurus II by Grady Ward, 1.0:

57 Moby Thesaurus words for "narcotized":
   anesthetized, asleep, cataleptic, catatonic, cold, comatose, dead,
   doped, dozy, dreamy, drowsy, drugged, drugged with sleep,
   half asleep, half-conscious, heavy, heavy with sleep, heavy-eyed,
   in a stupor, languid, lethargic, napping, narcoleptic, narcose,
   narcous, nirvanic, nodding, oblivious, oscitant, out, out cold,
   out of it, sedated, semiconscious, senseless, sleep-drowned,
   sleep-drunk, sleep-filled, sleep-swollen, sleepful, sleepy,
   slumberous, slumbery, snoozy, somnolent, soporific, spaced out,
   stoned, stretchy, strung out, stuporose, stuporous, unconscious,
   yawning, yawny, zonked, zonked out