For example:
I am cooking the chicken
The chicken is cooking in the oven
Cp:
I am building a sandcastle
x The sandcastle is building on the beach
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Sign up to join this communityThe chicken is cooking in the oven
Verbs such as these are called unaccusative verbs.
The term you are looking for is not unaccusative verb but ergative verb. Specifically, an ergative verb is an ambitransitive verb that behaves unaccusatively — the subject is a patient, when used intransitively, but accusatively — the object is the patient, when used transitively. Thus when used transitively, the semantic referent of the subject is promoted to object, and a new subject, typically the cause thereof, is introduced.
Examples of ergative verbs would be "to move", "to rot", and "to burn"; an example of unaccusative verbs that is not ergative would be "to fall" or "to explode" because "I fall the tree" or "I explode the tree" don't work.
More generally, an unergative verb is an intransitive verb whose subject corresponds to the agent, and an accusative verb is an ambitransitive verb where such a promotion of the patient to the subject does not occur when used intransitively.
Unaccusative and thus ergative verbs can be recognized by that their perfect participle corresponds to their subject, not their object. Thus "the fallen man" or "the exploded man" work, whereas with an unergative verb like "to sleep", or "to walk", "the slept man" and "the walked man" do not. Archaically in English, they would also form the active perfect in a way that was morphologically identical to how the passive perfect for accusative verbs was formed, using "to be" rather than "to have" as auxiliary, owing to how their perfect participle works as explained, as in "the man is fallen" rather than "the man has fallen"; this rule is still followed in Dutch or German.