Donor Stem Cell Transplant or Donor White Blood Cell Infusions in Treating Patients With Hematologic Cancer

DISEASE CHARACTERISTICS: * Diagnosis of 1 of the following\*: * Acute lymphoblastic leukemia in any disease phase * Patients with any of the following high-risk features are encouraged to enroll: * Philadelphia chromosome positive disease * L3 morphology, especially in the presence of t(8;14), t(8;22), or t(2;8) * Patients not in remission at day 28 of first induction * High LDH (i.e., ≥ 300 IU/mL at presentation) * Pre-B-cell, mixed lineage, or Burkitt's markers * Relapsed in the marrow while receiving continuous chemotherapy * Within 6 months after stopping chemotherapy * Relapse in one organ or extramedullary relapses in more than one organ while still receiving chemotherapy * Hodgkin's or non-Hodgkin's lymphoma beyond first complete remission (CR) or in first CR with features of high-risk disease, including, but not limited to: * Lymphoma not in CR after 3 courses of primary therapy * Patients with bulky disease at presentation, especially bulky mediastinal disease * Patients with LDH ≥ 300 IU/mL at presentation * Patients with extranodal disease * Patients with first remission within less than 1 year * Stage IV disease at presentation, especially with marrow involvement * Patients with high-intermediate or high International Index Scores * Acute myeloid leukemia (AML) meeting the following criteria: * Beyond first remission or high-risk disease in first CR * Required multi…