Mixing of the low-lying three- and five-quark $\Omega$ states with negative parity

Abstract

Mixing of the low-1/2^{-}$and$3/2^{-}$isinvestigated,employinganinstanton-inducedquark-antiquarkpaircreationmodel,whichprecludestransitionsbetween$s^{3}$and$s^{4}\bar{s}$configurations.Modelswithhyperfineinteractionsbetweenquarksofthreedifferentkinds,namely,one-gluon-exchange,Goldstone-boson-exchange(GBE)andaninstanton-inducedinteraction(INS)arecalledOGE,GBEandINSmodels,respectively.Numericalresultsshowthattheinstanton-inducedpaircreationcausesstrongmixingbetweenthethree-andfive-quarkconfigurationswithspin3/2,andthatthismixingdecreasestheenergyofthelowestspin3/2statesinallthreedifferenthyperfineinteractionmodelsto$\sim 1750\pm50$MeV.Ontheotherhand,transitioncouplingsbetween$s^3$and$s^{3}q\bar{q}$stateswithspin1/2causedbyinstanton-induced$q\bar{q}$creationisverysmallandtheresultingmixingofthree-andfive-quarkconfigurationsintheOGEandINSmodelsisnegligible,whilethemixingofthespin1/2statesinGBEmodelisnot,buteffectsofthismixingonenergiesofmixedstatesarealsoverysmall.Accordingly,thelowest$Ω$ states with negative parity in all three hyperfine interactions models have spin 3/2.

Accepted for publication in Phys. Rev. C

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