the texas version
(c) A person acts recklessly, or is reckless, with respect to circumstances surrounding his conduct or the result of his conduct when he is aware of but consciously disregards a substantial and unjustifiable risk that the circumstances exist or the result will occur. The risk must be of such a nature and degree that its disregard constitutes a gross deviation from the standard of care that an ordinary person would exercise under all the circumstances as viewed from the actor's standpoint.
(d) A person acts with criminal negligence, or is criminally negligent, with respect to circumstances surrounding his conduct or the result of his conduct when he ought to be aware of a substantial and unjustifiable risk that the circumstances exist or the result will occur. The risk must be of such a nature and degree that the failure to perceive it constitutes a gross deviation from the standard of care that an ordinary person would exercise under all the circumstances as viewed from the actor's standpoint.
Best I could do for New Mexico:
Manslaughter is the unlawful killing of a human being without malice.
A. Voluntary manslaughter consists of manslaughter committed upon a sudden quarrel or in the heat of passion.
Whoever commits voluntary manslaughter is guilty of a third degree felony resulting in the death of a human being.
B. Involuntary manslaughter consists of manslaughter committed in the commission of an unlawful act not amounting to felony, or in the commission of a lawful act which might produce death in an unlawful manner or without due caution and circumspection.
Whoever commits involuntary manslaughter is guilty of a fourth degree felony.
It would seem that NM doesn't have a "criminally negligent" definition, or if they do, I cannot find it. If Baldwin is to be charged, it appears that it will be involuntary manslaughter, since the very last clause ("or without due caution and circumspection") is as close as they come to defining criminal negligence.