This is similar to atypical facial pain, i.e patient presents with dental pain with no obvious cause.
The dentist/ specialist will evaluate, to rule out all causes of dental pain. If no cause is identified, then the diagnoses of Atypical odontalgia is made. It is better to be conservative than do invasive treatment. Lot of patients loose their teeth on one side before the diagnosis is made.
Treatment: reassurance, close surveillance. Tricyclic antidepressants.