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Spatially varying mass function of MACHOs in the galactic halo and interpretation of microl

The gravitational microlensing experiments in the direction of Large Magellanic Cloud (LMC) predict a large amount of white dwarfs ($\sim 20%$) filling the galactic halo. However, the predicted white dwarfs have not been observed at the galactic halo. To i

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aImpactofGravitationalLensingonCosmologyProceedingsIAUSymposiumNo.225,2004 c2004InternationalAstronomicalUnionMellier,Y.&Meylan,G.eds.DOI:00.0000/X000000000000000XSpatiallyvaryingmassfunctionofMACHOsinthegalactichaloandinterpretationofmicrolensingresultsSohrabRahvarDepartmentofPhysics,SharifUniversityofTechnology,P.O.Box11365–9161,Tehran,Iran,email:rahvar@sharif.eduInstituteforStudiesinTheoreticalPhysicsandMathematics,P.O.Box19395–5531,Tehran,IranAbstract.ThegravitationalmicrolensingexperimentsinthedirectionofLargeMagellanicCloud(LMC)predictalargeamountofwhitedwarfs(~20%) llingthegalactichalo.How-ever,thepredictedwhitedwarfshavenotbeenobservedatthegalactichalo.Tointerpretthemicrolensingresultsandresolvingthementionedproblems,weusethehypothesisofspatiallyvaryingmassfunctionofMACHOs,proposedbyKerins&Evans(1998)(hereafterKE).How-evertheKEmodelisnotcompatiblewiththedurationdistributionofevents(Rahvar2004a).Hereweusemorerealisticpower-lawmodelofMF,dn/dm∝mαfortheMACHOsofhalo.TheindexofMFinthismodelchangesfrom 2.7forstarswithm>1Mofgalactichalotothesubstellarregimewithanupperlimitof 1atthe atthecentralpartedgeofhalo.Weshowthatincontrasttotheabundantbrowndwarfsofgalactichalo,heavyMACHOscanberesponsibleforthemicrolensingeventsinthedirectionofLMC.

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