Constraints on Omega_B, Omega_m and h from MAXIMA and BOOMER(3)

发布时间:2021-06-08

We analyse the BOOMERANG and MAXIMA results in the context of models with $\Omega_{\rm Total} = 1$ and $n_s = 1$. We attempt to constrain three other parameters---$h$, $\Omega_B$, and $\Omega_m$---from these observations. We show that: (a) the value of $\O

&White1996).Thereforeitisreasonabletobelievethatthecurrentdataisingoodagreementwiththesepredictions.We xthevalueofthesetwoparametersbasedontheseconsiderationsanduse Total=1andns 1throughout.(Itshouldbepointedoutthat Total=1isastricterrequirementofin ationthanns=1;onegetsns=1onlyforexponentialin ation;seee.g.Steinhardt1995.)Alsonotethatwearenotconcernedwiththeoriginofthevalues Total=1andns=1.Forexample,thesecouldarisemerelyfromtherequirementofscaleinvarianceforthebackgrounduniverse(giving Total=1)andtheperturbations(givingns=1)withoutinvokingin ation—aswasoriginallydonebyHarrisonandZeldovich,yearsbeforein ationwasinvented(Harrison1970,Zeldovich1972).But,ofcourse,in ationarymodelsmadetheseparametervaluesfairlywellaccepted.Otherparameterslike Λ,hand Bcannotbe xedbytheoreticalconsiderationsalone.Inouranalysisweassumeanon-zero Λbecauserecenthigh-zSN1aobservationssuggestanon-zerocosmologicalconstant(Perlmutteretal.1999,Riessetal.1998).WedonotconsiderCMBRanisotropiesfromtensorperturbationsasmostmodelsofin ationgivenegligiblecontributionfromtensorperturbationsforns=1(Steinhardt1995).Re-ionizationofuniversecanalsoalterprimaryCMBRanisotropiessigni cantly.Presentobservationssuggestthattheuniverseisionizeduptoz 5.FortheCMBRanisotropiestobesigni cantlyalteredbyre-ionization,theminimumre-ionizationredshiftshouldliebetween10and20(seee.g.Bond1996).Therefore,keepingtheconstraintsfrompresentobservationsinmind,weneglectthee ectofre-ionizationonthemeasuredCMBRanisotropies.

We xthevalueof m+ Λ= Total=1,andcomputethecon dencelevelsonthebest- tvaluesof Bandh,and mfromMAXIMAandBOOMERANGobservations.Therangeofparametersinwhichtheminimumofχ2issearchedis:0.01≤ B≤0.15,0.4≤h≤1.1and0.1≤ m≤0.95.

Theχ2forthemodelcomparisonwithobservationsisgivenby:

χ2=N obs C Cth

i=1

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