If palpable means "tangible" or "perceptible by touch":
* Intangible
* Impalpable
* Invisible
* Abstract
If palpable means "obvious" or "clearly noticeable":
* Unnoticeable
* Subtle
* Vague
* Indistinct
If palpable means "intense" or "strong":
* Weak
* Faint
* Mild
It's important to consider the specific meaning of "palpable" in the sentence you're trying to create to choose the most appropriate antonym.