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Scalar and pseudoscalar mesons at BESII Xiaoyan SHEN (Representing BES Collaboration) Institute of High Energy Physics, CAS, China Charm06, June 5-7, 2006, IHEP, Beijing
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Scalars: , , f 0 (980), f 0 (1370), f 0 (1500), f 0 (1710), f 0 (1790) … PWA of J/ The threshold enhancement in J/ Study of J/ Focus on following results:
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light scalars: , , f 0 (980), f 0 (1370), f 0 (1500), f 0 (1710), f 0 (1790)
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Why light scalar mesons are interesting? There have been hot debates on the existence of and . Lattice QCD predicts the lightest 0 ++ scalar glueball mass ~ 1.6 GeV. f 0 (1500) and f 0 (1710) are good candidates.
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study in study in study f 0 (980), f 0 (1370), f 0 (1500), f 0 (1710) and f 0 (1790) in 0 ++
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The pole in at BESII M( ) M( + - 0 ) M( + - ) 00 Averaged pole position: MeV Phys. Lett. B 598 (2004) 149
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κ Phys. Lett. B 633 (2006) 681
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Important parameters from PWA fit: Large coupling with KK f 0 (980) Phys. Lett. B 607 (2005) 243
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There has been debate whether f 0 (1370) exists or not. f 0 (1370) clearly seen in J/ , but not seen in J/ . PWA 0 ++ components f 0 (1370) NO f 0 (1370) f 0 (1370) Phys. Lett. B 607 (2005) 243
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Clear f 0 (1710) peak in J/ KK. No f 0 (1710) observed in J/ ! f 0 (1710) NO f 0 (1710) Phys. Lett. B 603 (2004) 138
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PWA analysis shows one scalar in 1.7 GeV region Phys. Rev. D 68 (2003) 052003 f 0 (1710)
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A clear peak around 1790 MeV is observed in J/ . No evident peak in J/ KK. If f 0 (1790) were the same as f 0 (1710), we would have: Inconsistent with what we observed in J/ , KK New f 0 (1790)?? f 0 (1790) ? f 0 (1790) is a new scalar ??
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BES II Preliminary PWA of J/ + - and 0 0 M( + - ) M( 0 0 ) focus on M( )<2.0GeV. J/ + - and 0 0 are analyzed independently. global and bin-by-bin fits are performed. hep-ex/0603048
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For global fit, the channels fitted in PWA fix the parameters of f 2 (1810),f 0 (2020), f 2 (2150) and f 4 (2050) to PDG values.
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PWA results Lower 0 ++ : 0 ++ is strongly preferred over 2 ++ f 0 (1370) cannot be excluded. f 0 (1710) or f 0 (1790) or both If interpreting the 0++ in 1.75 GeV mass region as coming from f 0 (1710)
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all 0 ++ all 2 ++ PWA components: BES II Preliminary
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vary the masses and widths within the errors add small components background level replace f2(1810) with f2(1950) J/ total number, tracking efficiency, kinematic fit, photon detection …… For systematic errors:
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BES II Preliminary hep-ex/0603048
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Observation of threshold enhancement in J/ OZI DOZI
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M( + - 0 ) M(K + K - ) M(K + K - ) M( + - 0 ) Dalitz plot Clear and signals M 2 ( ) M2()M2()
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A clear threshold enhancement is observed Eff. curve Phase Space Side-bands Side-bands do not have mass threshold enhancement!
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Partial Wave Analysis of J/ X, X The amplitudes are constructed with the covariant helicity coupling amplitude method. X is parameterized by a constant width BW. BG is approximated by non-interfering phase space. The decay information is not considered. Best fit gives: J PC (X) = 0 ++, with S-wave X and systems. Tried many alternative fits. The 2 ++ gives not bad likelihood value, but with more free parameters 0 ++ is favored over 0 -+ and 2 ++
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For systematic errors: uncertainty of the BG (different treatment,..) fitting procedure (MC input and output) MC eff., total number…
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The DOZI decay of J/ is observed and measured with 58M J/ data. An enhancement in is found near the threshold. PWA shows: the enhancement favors 0 ++. Is it the same 0 ++ observed in KK or , or is it a glueball, or a hybrid …..? Further look in , K*K*, …. is desirable ! Phys. Rev. Lett., 96 (2006) 162002
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M( + - 0 )(GeV/c 2 ) sideband BES II Preliminary signal after best candidate selection (best masses) signal with multiple entries
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Eff. curve Phase Space Side-band M( )
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Analysis of the angular distribution for the system of 2 vector mesons: signal region sideband J P = even - is dominant in system!
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(1760) f 0 (1710) f 0 (1790) f 0 (1810) PWA analysis M( ) Total f2(1910) f2(160) BG Using observed mass and width for f 0 (1810) in J/ f 0 (1710) f 2 (1910) 5.8 f 2 (1640) 5.5 BG (1760) > 10 f 0 6.5 M( ) (GeV/c 2 )
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dominated by (1760) a 0 ++ is possible needed (6.5 ) Accepted by PRD, hep-ex/0604045
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Summary and , f 0 (980), f 0 (1370), f 0 (1500), f 0 (1710), … are studied PWA of J/ the observation of threshold enhancement f 0 (1810) in J/ (1760) dominant in J/ , possible existence of f 0 at around 1800 GeV.
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Thanks!
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