Psychosomatic rhymes with:
aromatic, asymptomatic, automatic, axiomatic, cinematic, diagrammatic, diplomatic, dramatic, emblematic, epigrammatic, idiomatic, mathematic, melodramatic, problematic, programmatic, semiautomatic, symptomatic, systematic, telematic, undiplomatic
Psychosomatic sounds like:
pageants, peasants, peasants', pheasants, pickands, pigments, pocahontas