Glueball/Qqbar Mixing

Glueball/Qqbar Mixing

“Glueball, Hybrid and Conventional” “Diquarks,Tetraquarks, Pentaquarks and no quarks” The meson landscape Scalars and Glue in Strong QCD New states beyond Weird Thebaryons: meson pentaquark landscape problems Scalars and Glue in Strong QCD Frank Close SURA05 1 (cc*) 1D: 1- 3772 2S: 1- 10023 3686 3556 2+ 9913 1+ 9893 3510 0+ 9860 3415 9460 3097 1S: 1- Narrow below MM threshold (cc*) 1D: 1- 3772 2S: 1- 10023 3686 9913 3556 Either no G with these JPC 2+ in this region (0-+ 2.5<eta_c) (1– 3.8Gev ~ psiprime?) 1+ 9893 3510 or don’t couple strongly to G 0+ 9860 3415 9460 3097 1S: 1- Narrow below MM threshold I=1 vector : I=0 JP =2+ 1+ 0+ (nn* ss*) 1D: 1- 1700 2S: 1- 1460 2+ 1270/1525 1+ 1285/1530 0+ 1S: 1- 770 Clean below S-wave MM thresholds And no prominent G expected I=1 vector : I=0 JP =2+ 1+ 0+ 1D: 1- 1700 2S: 1- 1460 2+ 1270/1525 1+ 1285/1530 S-wave decays or Strong QCD ? 0+ 1370/1500/1710 980/600 1S: 1- 770 Threat or Opportunity? I=1 vector : I=0 JP =2+ 1+ 0+ 1D: 1- 1700 2S: 1- 1460 2+ 1270/1525 ? qq* + Glueball Lattice G =1.6 \pm 1+ 1285/1530 0+0+ 1370/1500/1710 980/600 1S: 1- 770 I=1 vector : I=0 JP =2+ 1+ 0+ 1D: 1- 1700 2S: 1- 1460 2+ 1270/1525 ? qq* + Glueball Lattice G =1.6 \pm 1+ 1285/1530 Data do not imply G But given lattice and qq* 0+0+ 1370/1500/1710 Does consistent pic emerge? 980/600 1S:Can 1- data770 eliminate it; or even make it robust? 9 Scalar Glueball and Mixing s G n 15 Scalar Glueball and Mixing Meson s 1710 G 1500 n 1370 Scalar Glueball and Mixing Meson G ss* nn* s 1710 + + + G 1500 - + - n 1370 - + + 3 state mixing Relative phases FC-Teper 96 True for G>ss* or < ss* Scalar Decays into 0-0- 0- 0- meson decays LEAR/ WA102 FC Kirk Scalar Glueball and Mixing a simple example for expt to rule out Meson G ss* nn* 1710 0.39 0.91 0.15 0- 0- s meson decays 1500 -0.65 0.33 -0.70 LEAR/ WA102 n 1370 -0.69 0.15 0.70 FC Kirk Scalar Glueball and Mixing a simple example for expt to rule out Meson G ss* nn* 1710 0.39 0.91 0.15 0- 0- s meson decays 1500 -0.65 0.33 -0.70 LEAR/ WA102 n 1370 -0.69 0.15 0.70 FC Kirk l Nontrivial correlation with relative masses middle heavy light Scalar Glueball and Mixing a simple example for expt to rule out Meson G ss* nn* 1710 0.39 0.91 0.15 0- 0- s meson decays 1500 -0.65 0.33 -0.70 LEAR/ WA102 n 1370 -0.69 0.15 0.70 FC Kirk OZI rule and flavor tagging in J/ψ hadronic decays Works for 2^{++} Fails completely for 0^{++} ω φ J /ψ J /ψ uu + dd ss Unusual properties of f0(1370), f0(1500) f0(1710) • f0(1710): – It dominantly decays to KK (not to ππ) Æ ss – It is mainly produced together with ω (not φ) Æ uu + dd f0(1370) – It dominantly decays to ππ (not to KK) Æ uu + dd – It is mainly produced together with φ (not ω) Æ ss Æ Scalar Puzzle f0(1370) (nn*) at BES BES II Preliminary f (1370) 0 • f (1370) (uu*+dd*) J /ψ → φπ +π − 0 clearly seen in J/ψ → φππ, uu + dd but not seen in J/ψ → ωππ. J /ψ → ωπ +π − NO f0(1370) PWA 0++ components M = 1350 ± 50 MeV Γ = 265 ± 40 MeV pQCD similar for Upsilon to psi + cc* and Upsilon to psi + G(3gev) Brodsky Goldhaber pQCD similar for Upsilon to psi + cc* and Upsilon to psi + G(3gev) Brodsky Goldhaber Rescale energies by 3 psi to phi + ss* and Similar strength psi to phi + G(1gev) Close Zhao Scalar Glueball and Mixing Meson G ss* nn* s 1710 + + + G 1500 - + - n 1370 - + + 3 state mixing Relative phases + large mixing ruins naïve OZI Unusual properties of f0(1370), f0(1500) f0(1710) Scalar Puzzle A consistent pattern in these two experiments can establish role of \psi \to 0^{++} V Scalar Glueball Challenge: quantify the predictions Hybrids in psi decays and chi decays Chi 1++ \to pi + X In S-wave X = 1-+ Look for pi_1(1600) Feeds chi_1 \to 4pi Model: ratio of pi+pi_1:rho rho psi \to pi+pi_1 In p-wave Model: compare to rho+ rho- Exotic Pentaquarks Exotic Mesons general problem with clustered quark models, for example triquark - diquark: S=+2 meson = ud ¹s ud¹s ud¹s Kochelev, Lee & Vento suppresses decay width apply same logic to narrow, strangeness +2 meson near 1600 MeV Exotic Pentaquarks Exotic Mesons narrow strangeness +2 meson near 1600 MeV no KK decay actually several different spin-parity states - 1969! Wishful thinking - pentaquark in 1969 .

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