Mixing and Decay Constants of Pseudoscalar Mesons(10)

We propose a new eta-eta' mixing scheme where we start from the quark flavor basis and assume that the decay constants in that basis follow the pattern of particle state mixing. On exploiting the divergences of the axial vector currents - which embody the

ratherprecise:weobtainedφ=39.3 ±1 whichgivesasingle-octetmixingangleofθ= 15.4 .Fortheangleθ8whichisresponsiblefortheη,η′ratioinradiativeJ/ψdecayswefoundavalueof 21.2 .Thevaluesforfqandforfsdi erfromthetheoreticalpredictions(to rstorderof avorsymmetrybreaking)onlymildly.

vii)Itisstraightforwardtogeneralizethenewmixingschemetoincludethemixingwiththeηcwhichisofparticularrecentinterest.HerethedecayconstantfcenterswhichwetakeequaltofJ/ψ.Withthisingredientthec

[1]

[2]

[3]

[4]

[5]

[6]

[7]

[8]

[9]

[10]

[11]

[12]

[13]

[14]

[15]

[16]

[17]

[18]

[19]

[20]

[21]

[22]

[23]

[24]

[25]

[26]

[27]

[28]H.FritzschandJ.D.Jackson,Phys.Lett.66B(1977)365.N.Isgur,Phys.Rev.D13(1976)122.F.J.GilmanandR.Kau man,Phys.Rev.D36(1987)2761.V.Dmitrasinovic,Phys.Rev.D56(1997)247.E.Witten,Nucl.Phys.B149(1979)285;G.Veneziano,ibid.B159(1979)213.H.Leutwyler,Nucl.Phys.Proc.Suppl.64(1998)223;R.Kaiser,diplomawork,BernUniversity1997.T.FeldmannandP.Kroll,tobepublishedinEur.Phys.J.C(1998),hep-ph/9711231.S.J.BrodskyandG.P.Lepage,Phys.Rev.D22(1980)2157.D.U.JungnickelandC.Wetterich,Eur.Phys.J.C1(1998)669.H.Y.ChengandB.Tseng,Phys.Lett.B415(1997)263.I.HalperinandA.Zhitnitsky,Phys.Rev.D56(1997)7247.A.AliandC.Greub,Phys.Rev.D57(1998)2996.A.Ali,J.Chay,C.GreubandP.Ko,Phys.Lett.B424(1998)161.CLEOcollaboration,B.H.Behrensetal.,Phys.Rev.Lett.80(1998)3710.P.Ball,J.M.FrereandM.Tytgat,Phys.Lett.B365(1996)367.A.Bramon,R.EscribanoandM.D.Scadron,Phys.Lett.B403(1997)339;A.Bramon,R.EscribanoandM.D.Scadron,hep-ph/9711229.ParticleDataGroup,R.M.Barnettetal.,Phys.Rev.D54(1996)1.O.Dumbrajsetal.,Nucl.Phys.B216(1983)277.M.Wirbel,B.StechandM.Bauer,Z.Phys.C29(1985)637.CLEOcollaboration,G.Brandenburgetal.,Phys.Rev.Lett.75(1995)3804.Serpukhov-CERNcollaboration,W.D.Apeletal.,Phys.Lett.83B(1979)131.N.R.Stantonetal.,Phys.Lett.92B(1980)353.CrystalBarrelcollaboration,C.Amsleretal.,Phys.Lett.B294(1992)451.V.A.Novikovetal.,Nucl.Phys.B165(1980)55.CLEOcollaboration,J.Gronbergetal.,Phys.Rev.D57(1998)33;L3collaboration,M.Acciarrietal.,Phys.Lett.B418(1998)399.T.FeldmannandP.Kroll,Phys.Lett.B413(1997)410;M.NeubertandB.Stech,hep-ph/9705292.A.Petrov,hep-ph/9712497.K.Chao,Nucl.Phys.B317(1989)597,Nucl.Phys.335(1990)101;F.YuanandK.Chao,Phys.Rev.D56(1997)2495.