Wetrytoapplyaconstituentquarkmodel(avarietychiralconstituentquarkmodel)andtheresonatinggroupapproachforthemulti-quarkproblemstocomputetheeffectivepotentialbetweentheNN-inS-wave(thequarksinthenucleonsNandN-,andthetwonucleonsrelativelyaswell,areinSwave)soastoseethepossibilityiftheremaybeatightboundstateofsixquarksasindicatedbyastrongenhancementatthresholdofpp-inJ/ψandBdecays.TheeffectivepotentialwhichweobtainintermsofthemodelandapproachshowsiftheexperimentalenhancementisreallycausedbyatightS-waveboundstateofsixquarks,thenthequantumnumberoftheboundstateisverylikelytobeI=1,JPC=0-+.