Properties of Charmonium States in a Phenomenological Approach
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摘要
We investigate the spectrum and decay rates of charmonium states within the framework of the non relativistic quark model by employing a Coulomb like potential from the perturbative one gluon exchange and the linear confining potential along with the potential derived from instanton vacuum to account for the hyperfine mass splitting of charmonium states in variational approach. We predict radiative E1, M1, two-photon, lepton and two-gluon decay rates of low lying charmonium states. An overall agreement is obtained with the experimental masses and decay widths.We have estimated the branching ratio of two gluons decaying into light hadrons.
We investigate the spectrum and decay rates of charmonium states within the framework of the non relativistic quark model by employing a Coulomb like potential from the perturbative one gluon exchange and the linear confining potential along with the potential derived from instanton vacuum to account for the hyperfine mass splitting of charmonium states in variational approach. We predict radiative E1, M1, two-photon, lepton and two-gluon decay rates of low lying charmonium states. An overall agreement is obtained with the experimental masses and decay widths.We have estimated the branching ratio of two gluons decaying into light hadrons.
We investigate the spectrum and decay rates of charmonium states within the framework of the non relativistic quark model by employing a Coulomb like potential from the perturbative one gluon exchange and the linear confining potential along with the potential derived from instanton vacuum to account for the hyperfine mass splitting of charmonium states in variational approach. We predict radiative E1, M1, two-photon, lepton and two-gluon decay rates of low lying charmonium states. An overall agreement is obtained with the experimental masses and decay widths.We have estimated the branching ratio of two gluons decaying into light hadrons.
引文
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[75]Bhavyashri,K.B.Vijayakumar,B.Hanumaiah,S.Sarangi,and S.G.Zhou,J.Phys.G:Nuclear and Particle Physics 31(2005)981.
[2]J.E.Augustin,et al.,Phys.Rev.Lett.33(1974)1406.
[3]K.Olive,K.Agashe,C.Amsler,et al.,Chin.Phys.C 38(2014)090001.
[4]W.J.Deng,H.Liu,L.C.Gui,and X.H.Zhong,Phys.Rev.D 95(2017)034026.
[5]C.T.H.Davies,K.Hornbostel,G.P.Lepage,et al.,Phys.Rev.D 52(1995)6519.
[6]For the Hadron Spectrum Collaboration Collaboration(J.J.Dudek and E.Rrapaj),Phys.Rev.D 78(2008)094504.
[7]E.Eichten,K.Gottfried,T.Kinoshita,et al.,Phys.Rev.Lett.36(1976)500.
[8]E.Eichten,K.Gottfried,T.Kinoshita,K.Lane,and T.M.Yan,Phys.Rev.D 17(1978)3090.
[9]E.Eichten,K.Gottfried,T.Kinoshita,et al.,Phys.Rev.D 21(1980)203.
[10]S.Godfrey and N.Isgur,Phys.Rev.D 32(1985)189.
[11]D.Stanley and D.Robson,Phys.Rev.D 21(1980)3180.
[12]D.Ebert,R.Faustov,and V.Galkin,Phys.Rev.D 67(2003)014027.
[13]S.Gershtein,V.Kiselev,A.Likhoded,and A.Tkabladze,Phys.Rev.D 51(1995)3613.
[14]L.P.Fulcher,Phys.Rev.D 44(1991)2079.
[15]L.P.Fulcher,Phys.Rev.D 60(1999)074006.
[16]L.P.Fulcher,Phys.Rev.D 50(1994)447.
[17]S.N.Gupta,J.M.Johnson,W.W.Repko,and C.J.Suchyta III,Phys.Rev.D 49(1994)1551.
[18]S.N.Gupta and J.M.Johnson,Phys.Rev.D 53(1996)312.
[19]C.S.Vanamali and K.B.V.Kumar,Phys.Rev.C 94(2016)054002.
[20]R.Bhaduri,L.Cohler,and Y.Nogami,Il Nuovo Cimento A(1965-1970)65(1981)376.
[21]L.Burakovsky and T.Goldman,Nucl.Phys.A 625(1997)220.
[22]S.Gershtein,et al.,Sov.J.Nucl.Phys 48(1988)327.
[23]Y.Q.Chen and Y.P.Kuang,Phys.Rev.D 46(1992)1165.
[24]S.S.Gershtein,V.V.Kiselev,A.K.Likhoded,and A.V.Tkabladze,Phys.Rev.D 51(1995)3613.
[25]M.Baldicchi and G.M.Prosperi,Phys.Rev.D 62(2000)114024.
[26]W.Kwong and J.L.Rosner,Phys.Rev.D 44(1991)212.
[27]K.B.Vijaya Kumar,Bhaghyesh,and A.P.Monteiro,Indian J.Phys.87(2013)493.
[28]A.P.Monteiro and K.B.Vijaya Kumar,Chin.Phys.C34(2010)1396.
[29]A.P.Monteiro and K.B.Vijaya Kumar,Commun.Theor.Phys.53(2010)325.
[30]A.P.Monteiro and K.B.Vijaya Kumar,Indian Journal of Pure and Applied Physics 48(2010)240.
[31]A.P.Monteiro,M.Bhat,and K.B.Vijaya Kumar,International Journal of Modern Physics A 32(2017)1750021.
[32]M.Bhat,A.P.Monteiro,and K.B.Vijaya Kumar,International Journal of Modern Physics E 26(2017)1750037.
[33]K.B.Vijaya Kumar,A.K.Rath,and S.B.Khadkikar,Pramana 48(1997)997.
[34]A.P.Monteiro,K.B.Vijaya Kumar,and Bhaghyesh,Commun.Theor.Phys.56(2011)476.
[35]Bhaghyesh,K.B.Vijaya Kumar,and Y.L.Ma,International Journal of Modern Physics A 27(2012)1250011.
[36]Bhaghyesh,K.B.Vijaya Kumar,and A.P.Monteiro,Chin.Phys.C 35(2011)997.
[37]Bhaghyesh and K.B.Vijaya Kumar,Chin.Phys.C 37(2013)023103.
[38]Bhaghyesh and K.B.Vijaya Kumar,Commun.Theor.Phys.55(2011)1044.
[39]Bhaghyesh and K.B.Vijyaya Kumar,International Journal of Modern Physics A 27(2012)1250127.
[40]U.T.Yakhshiev,H.C.Kim,M.M.Musakhanov,et al.,Chin.Phys.C 41(2017)083102.
[41]W.J.Deng,H.Liu,L.C.Gui,and X.H.Zhong,Phys.Rev.D 95(2017)034026.
[42]W.Kwong and J.L.Rosner,Phys.Rev.D 38(1988)279.
[43]V.Novikov,L.Okun,M.Shifman,A.Vainshtein,et al.,Phys.Rep.41(1978)
[44]N.Brambilla,et al.,CERN Yellow Report,CERN-2005-005(2004).
[45]W.Caswell and G.Lepage,Phys.Lett.B 167(1986)437.
[46]G.T.Bodwin,E.Braaten,and G.P.Lepage,Phys.Rev.D 51(1995)1125.
[47]N.Brambilla,A.Pineda,J.Soto,and A.Vairo,Phys.Lett.B 470(1999)215.
[48]B.A.Thacker and G.P.Lepage,Phys.Rev.D 43(1991)196.
[49]W.Kwong,P.B.Mackenzie,R.Rosenfeld,and J.L.Rosner,Phys.Rev.D 37(1988)3210.
[50]R.Royen and V.F.Weisskopf,Il Nuovo Cimento A 50(1967)617.
[51]D.Faiman and A.W.Hendry,Phys.Rev.180(1969)1572.
[52]R.P.Feynman,M.Kislinger,and F.Ravndal,Phys.Rev.D 3(1971)2706.
[53]Bhaghyesh,K.B.Vijaya Kumar,and A.P.Monteiro,J.Phys.G:Nuclear and Particle Physics 38(2011)085001.
[54]D.I.Dyakonov and V.Y.Petrov,Nucl.Phys.B 245(1984)259.
[55]E.V.Shuryak,Nucl.Phys.B 203(1982)93.
[56]D.Ebert,R.N.Faustov,and V.O.Galkin,The European Physical Journal C-Particles and Fields 71(2011)1825.
[57]S.F.Radford and W.W.Repko,Phys.Rev.D 75(2007)074031.
[58]L.Cao,Y.C.Yang,and H.Chen,Few-Body Systems 53(2012)327.
[59]J.Segovia,D.R.Entem,F.Fernandez,and E.Hernandez,International Journal of Modern Physics E 22(2013)1330026.
[60]T.Kawanai and S.Sasaki,Phys.Rev.D 92(2015)094503.
[61]C.Patrignani,K.Agashe,G.Aielli,C.Amsler,et al.,Chin.Phys.C 40(2016)10001.
[62]D.Mohler,Proceedings,5th International Workshop on Charm Physics,(Charm 2012),Honolulu,Hawaii,USA,May 14-17(2012)2012.
[63]CP-PACS Collaboration Collaboration(M.Okamoto,et al.),Phys.Rev.D 65(2002)094508.
[64]W.Lucha and F.F.Schoberl,ar Xiv:hep-ph/9601263(1996).
[65]T.Barnes,S.Godfrey,and E.S.Swanson,Phys.Rev.D72(2005)054026.
[66]B.Q.Li and K.T.Chao,Phys.Rev.D 79(2009)094004.
[67]T.Barnes,ar Xiv:hep-ph/0406327(2004).
[68]C.R.Munz,Nucl.Phys.A 609(1996)364.
[69]O.Lakhina and E.S.Swanson,Phys.Rev.D 74(2006)014012.
[70]A.Parmar,B.Patel,and P.C.Vinodkumar,Nucl.Phys.A 848(2010)299.
[71]J.T.Laverty,S.F.Radford,and W.W.Repko,ar Xiv:hep-ph/0901.3917(2009).
[72]N.Achasov and X.W.Kang,Chin.Phys.C 41(2017)123102.
[73]M.Musakhanov and O.Egamberdiev,Phys.Lett.B 779(2018)206.
[74]K.B.Vijayakumar,B.Hanumaiah,and Pepin,The European Physical Journal A 19(2004)247.
[75]Bhavyashri,K.B.Vijayakumar,B.Hanumaiah,S.Sarangi,and S.G.Zhou,J.Phys.G:Nuclear and Particle Physics 31(2005)981.