Psychosis is a term describing mental health symptoms including
hallucinations, delusions, formal thought disorder, and negative
symptoms.
Psychosis is a broad term, which encompasses a range of
diagnoses. These include schizophrenia, substance-induced
psychosis, brief reactive psychosis, post partum psychosis,
schizophreniform disorder, schizoaffective disorder to name just a
few. These disorders have the presence of psychotic symptoms as a
common feature. However, the specific diagnoses are differentiated
according to a variety of features such as lengbth of illness,
association with mood, association with drug use or stress,
etc.
So, there is not another name for 'psychosis', but there are a
range of terms that people use to more specifically name types of
psychotic illness. Sometimes people use these terms interchangeably
with psychosis - even though this is strictly not correct.
(As an analogy, consider the term cancer - like psychosis,
cancer is an umbrella term covering a range of more specific types
such as breast cancer, bone cancer, ovarian cancer etc).