OUTLINE: This is a dose escalation, multicenter study of T-cells photochemically treated with psoralen and ultraviolet A. Patients receive thiotepa IV over 2 hours on day 1, cyclophosphamide IV over 2 hours on days 2 and 3, and whole body radiotherapy on days 5-8. Patients undergo preserved stem cell or bone marrow allogeneic transplant plus psoralen treated T-cell allogeneic transplant on day 9. Cohorts of 3-6 patients receive escalating doses of photochemically treated T-cells until the maximum tolerated dose (MTD) is determined. The MTD is defined as the dose preceding that at which at least 2 of 3 patients experience dose limiting toxicities. Patients are followed for 100 days.