An Investigational Scan (68Ga-PSMA-11 PET) for the Imaging of Prostate Cancer

Inclusion Criteria: * Pathologically proven prostate adenocarcinoma * For the initial staging arm (initial staging cohort), high risk characteristics, including any of the following: * Grade group 4-5 and/or * PSA \> 20 ng/mL * For patients with biochemical recurrence (biochemical recurrence cohort): * Rising PSA after definitive therapy with prostatectomy or targeted local therapy (including but not limited to external beam radiation therapy, brachytherapy, high-frequency ultrasound, and cryotherapy) * If post-radical prostatectomy, PSA \> 0.2 ng/mL measured \> 6 weeks post-operatively and confirmatory persistent PSA greater than 0.2 ng/mL (American Urological Association (AUA) definition for biochemical recurrence * If post-radiation therapy, PSA that is equal to, or greater than, a 2 mg/mL rise above PSA nadir (American Society of Radiation Oncology (ASTRO) definition for biochemical recurrence) * For patients undergoing systemic therapy (treatment monitoring cohort): * Diagnosis of metastatic castration-resistant prostate cancer * At least one or more measurable ( \> 1 cm diameter in short axis) or evaluable lesions by any modality obtained within the past 60 days * Planned for treatment with standard of care androgen receptor pathway inhibitor or chemotherapy * This can include patients who have already undergone a standard of care Ga-68 PSMA PET/CT or PET/MR for determining eligibility for Lu-177 PSMA therapy, for whom the PET/CT or PET/MR did not co…