Baby Don't Cry is a tear-free, pH-neutral shampoo Paul Mitchell makes for washing babies' and young children's hair and scalp without stinging eyes. It cleans with a mild surfactant base (sodium laurylglucosides hydroxypropylsulfonate, disodium laureth sulfosuccinate, cocamidopropyl hydroxysultaine) rather than the harsher sulfates found in most adult shampoo, and adds chamomile, echinacea and mushroom-derived extracts to calm the scalp during bath time.
It's meant to be massaged into wet hair and rinsed out, repeated if needed. The brand lists it as vegan, paraben-free and gluten-free, though it doesn't market it as sulfate-free specifically.