Belle 2009 Feb. 28th
Homework discussion (2008 12 6 7 ) Home Works for Theorists So far works are done mainly for interpreting the observed phenomena. But, we need more predictions. prediction
qq( ) qqq( ) : e.g. an S=+1 u u d : gluon-gluon color singlet states d s : qq-gluon u c c c u c
c b (u,d,s) η η (M c ~1.5GeV M b ~5GeV) cc J/ψ(cc 1S ) ψ (2S ) e + e - µ + µ - bb (1S) (2S) (3S) µ + µ -
Outline X(3872) Initial State Radiation Y Bottomonium(-like) Y b (ns)ππ
KEKB 1fb -1 /day Lum./day 800fb -1 Int. lum. 8GeV(e - )X3.5GeV(e + ) ( ) (4S):605fb -1 =660M BB (5S):22fb -1 +
Belle測定器 CsI calorimeter Aerogel Cerenkov Time Of Flight S.C. solenoid 3.5GeV e+ 1.5T 8GeV esilicon Vertex Detector KL µ system Central Drift Chamber 汎用で粒子識別能力に優れた高分解能スペクトロメーター
X(3872)
cc B X(3872) B J/ψ π + π - K J/ψ π + π - B π ± K π ±
B Full Reconstruction Example; B 0 J/ψ K S Using Υ(4S) BB kinematics ΔE(GeV) M bc = { (E CM /2) 2 - (Σ P i ) 2 } 1/2 Signal peaks at B mass (5.28GeV) ΔE = Σ E i - E CM /2 Signal peaks at 0. M bc (GeV)
Charmonium( ) states in B decay B decays as a source of hidden charm (charm anti-charm ) Cabbibo-favored diagram (V cb and V cs ) commonly produced! B hidden charm Kaon Spectroscopy Mass, Width? New states?
From Tom Browder (1) X(3872) The shape of the expected D*D distribution is of interest. Predictions for the ratio of X(3872) BFs into different modes. Does these ratios of BFs reveal something about the structureof the X(3872)? (i.e. what fraction is cc and what fraction is molecule).
B D *0 D 0 K with 660M BB D 0 γ D 0 π 0 =X(3872)? Other effects? arxiv:0810.0358
X(3872) 2πJ/ψ and 3πJ/ψ Signal yield as a func. of M πππ A virtual ω? M bc in each M J/ψω bin 12.4±4.2 events Belle 275M BB, hep-ex/0505037 Br(X 3πJ/ψ) 2πJ/ψ 3πJ/ψ = 1.0 ± 0.5 Br(X 2πJ/ψ) 3πJ/ψ J PC 2πJ/ψ
Rev. X(3872), how about 1 ++? dn/dcosθdcosχ sin 2 θ l sin 2 χ θ l Rosner formalism χ 2 /dof = 11/9 χ Compute angles in X(3872) rest frame. 1 ++ looks OK! K cosθ l χ 2 /dof = 5/9 cosχ
BaBar s report Now Belle analysis on going. 3x larger Br. w.r.t J/ψ γ. molecule ψ γ br. prediction
Production B ± ψ K ± B ± K ± Ns=132±15 (12σ) ΔM ΔM distributions for ψ and X are fitted simultaneously; detector resolution effect is automatically calibrated by ψ. B 0 K S ΔM Ns=28±7 (5.9σ) B ± (3872)K ± B 0 (3872)K S arxiv:0809.1224 ΔM
B 0 X(3872)K + π - QWG6 K.Trabelsi Talk B decay Final State Int.
B X(3872)π J/ψ e + e - J/ψ µ + µ - B + ψ ( J/ψπ + π - )π + (PRD(R)78,051104) Mass window B + X(3872)( J/ψπ + π - )π + Final State Interaction Cabbibo suppression tetraquark molecule enhance suppress encouraging
From Tom Browder (2) For other new particles, Y(3940), Y(4260), Z(4430), etc. There is usually only a single decay mode observed. If these are real new particles, we should expect to find other decay modes. We need predictions for ratios of the dominant decay mode to other decay modes. What are these additional modes? Are we searching for them?
Initial State Radiation Y
cc Y e + e - Radiative return Initial State Radiation(ISR) cc J/ψππ? Hybrid BaBar: Y(4260) PRL95,142001 Belle: Two Ys, 4.05GeV and 4.25GeV PRL99,182004
Y b :b
(5S) (ns)π + π - (n=1,2,..) (5S) (4S) 0 B 0, B + B - (5S) 0 B 0, B + B -, B S B S B B B
(5S) (ns)π + π - (4S) (1S)π + π -, (2S)π + π -, (3S)π + π - (PRD75,071103R) (5S) (ns)π + π - (5S) ISR (5S) (1S)π + π -, (2S)π + π - (4S) (PRL100,112002)
(1S)π + π -, (2S)π + π - (5S) (bb ) Y b 1S ππ, 2S ππ Y b B 0 B 0, B + B -, B S B S, Belle 5S 10.689GeV =Y b (5S) =
Belle preliminary BB B S B S (5S) (6S) (ns)ππ M=10889.6±1.8(stat)±1.5(syst) MeV Γ=54.7+8.5/-7.2(stat)±2.5(syst) MeV Bottomonium-like exotic hadron run schedule
X(3872) exotic hadron B decay Production mechanism Z(4430) Y(4260) Y b : 10889.6 GeV (ns)ππ (5S) Bottomonium-like exotic hadron run schedule