In　this　paper,　we　investigate　the　limiting　behavior　of　Riemann　solutions　to　the　Euler　equations　of　compressible　fluid　flow　for　modified　Chaplygin　gas　with　the　body　force　as　the　two　parameters　tend　to　zero.　The　formation　of　delta　shock　waves　and　the　vacuum　states　is　identified　and　analyzed　during　the　process　of　vanishing　pressure　in　the　Riemann　solutions.　The　concentration　and　cavitation　are　fundamental　and　physical　phenomena　in　fluid　dynamics,　which　can　be　mathematically　described　by　delta　shock　waves　and　vacuums,　respectively.　In　this　paper,　our　main　objective　is　to　rigorously　investigate　the　formation　of　delta　shock　waves　and　vacuums　and　observe　the　concentration　and　cavitation　phenomena.　First,　the　Riemann　problem　of　the　Euler　equations　of　compressible　fluid　flow　for　the　modified　Chaplygin　gas　with　the　body　force　is　solved.　Second,　we　rigorously　confirm　that,　as　the　pressure　vanishes,　any　two　shock　Riemann　solution　to　the　Euler　equations　of　compressible　fluid　flow　for　the　modified　Chaplygin　gas　with　the　body　force　tends　to　a　δ-shock　solution　to　the　pressureless　gas　dynamics　model　with　a　body　force,　and　the　intermediate　density　between　the　two　shocks　tends　to　a　weighted　δ-measure　that　forms　the　δ-shock;　any　two-rarefaction-wave　Riemann　solution　to　the　Euler　equations　of　compressible　fluid　flow　for　the　modified　Chaplygin　gas　with　the　body　force　tends　to　a　solution　consisting　of　four　contact　discontinuities　together　with　vacuum　states　with　three　different　virtual　velocities　in　the　limiting　situation.　©　2024　Author(s).