 RATIONALE: Giving low doses of chemotherapy and total-body irradiation before a donor peripheral blood stem cell transplant helps stop the growth of cancer cells. It may also stop the patients immune system from rejecting the donors stem cells. The donated stem cells may replace the patients immune cells and help destroy any remaining cancer cells graft-versus-tumor effect. Sometimes the transplanted cells from a donor can also make an immune response against the bodys normal cells. Removing the T cells from the donor cells before transplant and giving cyclosporine and mycophenolate mofetil after transplant may stop this from happening. 