Prevention of Graft-Versus-Host Disease in Patients With Advanced Leukemia or Lymphoma Who Are Eligible for Peripheral Stem Cell Transplantation

DISEASE CHARACTERISTICS: - Acute lymphocytic leukemia (ALL) with documented chemosensitivity (complete response \[CR\], partial response \[PR\], or minor response \[MR\]) in first or second remission, first or second relapse, or high risk ALL with Ph positive 9/22 translocation; OR - Acute myelogenous leukemia (AML) with documented chemosensitivity (CR, PR, or MR) in first or second remission, or first or second relapse; OR - Chronic myelogenous leukemia (CML), chronic or accelerated, that is not in blast crisis; OR - Hodgkin's disease or non-Hodgkin's lymphoma with documented chemosensitivity in first or second relapse Consenting human lymphocyte antigen (HLA)-identical related donor required No active central nervous system (CNS) or skin leukemia involvement No disease that requires additional mediastinal radiation PATIENT CHARACTERISTICS: Age: 18-55 Performance status: Karnofsky 70-100% Life expectancy: Greater than 8 weeks Hematopoietic: Not specified Hepatic: Bilirubin less than 1.5 times normal serum glutamate oxalo-acetate transaminase (SGOT) less than 2 times normal Renal: Creatinine less than 1.5 times normal Cardiovascular: Left ventricular ejection fraction at rest at least 40% or within normal range Pulmonary: diffusing capacity of the lung for carbon monoxide (DLCO) greater than 45% of predicted or within normal range Other: HIV negative At least 2 weeks since any active infection requiring intravenous treatment with antifungal, antibacterial or antiviral agents…