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Pentaquarks: 五夸克态 Bo-Qiang Ma (马伯强) PKU (北京大学物理学院) ? August 14, 2004 talk at CCAST Wokshop on QCD and RHIC Physics In Collaboration with B. Wu Hep-ph/0312041, PRD69(2004)077501 Hep-ph/0312326, PLB586(2004)62 Hep-ph/0311331, Hep-ph/0402244 Hep-ph/0408121 all to appear in PRD Also HERMES Collaborators (Y.Mao et al.): PLB585(2004)213. 1 A Break Through of Hadron Physics in 2003: Pentaquark • 五夸克态 Second Item of Top 10 Physics News in 2003 In News: Nature Science Update: “…could have important implications for understanding of the early universe” • BBC News: “should have far-reaching consequences for understanding the structure of matter” • MSN: “a new classification of matter…” • 2 Search for Exotic Baryon States • Standard Quark Model – classifies hadrons as • mesons ( qq ) • baryons (qqq ) – also allows “non-standard” or exotic hadron states • multiquark mesons ( qqqq ) • multiquark baryons ( qqqqq ) -> appear as baryon resonances • hybrid states ( qqg or qqqg ) • dibaryons ( qqqqqq ) • glueballs -> no convincing previous evidence for exotic baryon states before 2003. 3 Baryon States •All baryons observed before – classified as singlets, octets and decuplets of SU(3) flavor group -> constructed of 3 quarks only, - may have higher orbital angular momentum – have strangeness from S=-3 to S=0 Y baryon octet with JP=½+ 0 baryon decuplet with • Exotic Baryons with S=+1 – cannot be formed from only 3 quarks – belong to higher SU(3) multiplet IZ JP=(3/2)+ 4 Previous Searches for Exotic Baryons • Ideally: kaon-nucleon (KN) scattering • started in 1966 at BNL -> “clear” resonance peak found in K+p at M=1.91 GeV and G=180 MeV • searches: partial wave analyses in KN scattering R. Cool et al., PRL 17, 102 (1966) BNL 1966 – candidates: isoscalar Z0(1780) and Z0(1865) -> give poor evidence (PDG) • dropped from PDG listings after 1986 • reasons for failure: – KN (in)elastic scattering at p(K) corresponding to 1.74 MZ 2.16 GeV – resonance widths large: 70 GZ 845 MeV – MIT bag model predictions: MZ 1.7 GeV • L(1405): molecular meson-baryon state uudsu ? – interpretation problematic: could be -> ambiguity remains uds 5 L(1405) as 5-quark state Jue-Ping Liu, Z.Phys.C 22(1984)171 • Using QCD sum rule method to calculate the 5-quark component of L(1405) • But cannot rule out miminal uds component in the state 6 Pentaquark States • Predictions of pentaquark states with both strange and charm (by Lipkin et al.), no evidence found in experimental searches for more than ten years. 7 Prediction in Chiral Soliton Model D. Diakonov, V.Petrov, M.Polyakov, Z. Phys. A 359, 305 (1997) • all baryons are rotational excitations of a rigid object • reproduces mass splittings witin 1% of – baryon octet (JP=½+) and decuplet (JP=3/2+) • predicts new anti-decuplet (among many Ncd artifacts) • “only one” free parameter Based on older predictions: Manohar(1984); Chemtob (1984); Praszalowicz (1987) the 3 corners are exotic pK0 or nK+ Identifying P11(1710) as member of anti-decuplet: prediction for Q+: M=1.53 GeV, G 15 MeV I=0 S=+1 JP=½+ with X-p- or S-K- X0p+ or S+K0 Q+ K0 p or K+n 8 Suggestion for the existence of higher multiplets M.-L.Yan and X.-H.Meng, Commun. Theor. Phys. 24 (1995) 435 • The corrections to the Gell-Mann-Okubo relations of baryons masses in SU(3) Skyrmen model are considered. • The results could be regarded as a signal for the existence of the SU(3) rotation excitation states of baryons: 27-plet, 10*-let, and 35-let. 9 Nothing is “Exotic” in the Chiral Solition Picture • Baryons are “solitons” in the chiral fields. • No baryon is “exotic” except that it has different quantum numbers compared to other baryons. 10 “Exotic”-baryon (Pentaquark) Defination H.Gao and B.-Q. Ma Mod. Phys. Lett. A 14 (1999) 2313 • A pentaquark qqqqq state can be clearly distinguished from the conventional qqq-baryon state or their hybrids if the flavor of q is different from any of the other four quarks: minimal Fock state of pentaquark - • Possible existence of uudds and uuuds states are suggested. 11 Suggestion for search of pentaquark uudds state in physics process H.Gao and B.-Q. Ma Mod. Phys. Lett. A 14 (1999) 2313 • Suggested: *n K- Θ+ missing mass method to construct Θ+ • SPring8 and CLAS experiments: sub-process n K- (K+n) an additional K+ is detected to reduce background for the missing mass spectrum and real photon is used instead of virtual photon. 12 What is a Pentaquark A pentaquark is a hadron that is composed of 4 valence quarks and one valence antiquark. It has strangeness S=+1 and is tightly bound by the strong hadronic force. -> constitutes a new form of matter HERMES Experiment Decay Mode: Q+ Ks p or K+n * D X Q+ XpK 0 13 HERMES Result: Talk by Yajun Mao at Tokyo Resonance is observed at 1528 2.6 2.1 MeV Width is FWHM = 19 5 2 MeV Naïve significance 56 / 144 ~ 4.7s True significance 59/16 ~ 3.7s Ns in ±2s Nb Ns N s Unbinned fit is used: result doesn’t depend on bin size and starting point Yajun Mao for HERMES Collaboration, YITP Multi-quark Workshop, Feb. 17-19, 2004 14 Where else to look for Q+ Production • ideally: K0p and K+n – mass range too low for kaon beams high for f factory of kaons • less ideal: collision of non-strange particles – many particles in final states – some are neutral -> complex detectors need D. Diakonov,priv. commun. (May 2003) 15 Summary of recent experiments world-average: M(Q+): 15322.4 MeV 16 Summary of recent Evidence for Experiments Results Mass (MeV) SPring8 DIANA CLAS SAPHIR ITEP (n) HERMES KN elastic 1540 10 5 One theory 1530 MeV (cQSM) 1539 2 “few” 1542 2 5 1540 4 2 1533 5 1526 2 2 I=0 S=+1 Width (Mev) G 25 G 8 FWhM = 21 G 25 G < 20 G 13 G few MeV ! s ( = N s / Nb ) 4.61 4.4 5.30.5 4.8 6.7 5.60.5 G15 MeV JP=½+ Next: • Determine width, other quantum numbers (parity!). 17 Summary of Null Results 0 null results published, only 3 on arXiv so far ⇒ need null results to be published 18 no evidence for Q++ K+p in HERMES Suggesting Q+ Being Isosinglet I=0 is likely I=2 is ruled out I=1 is unlikely, but cannot be ruled out X.Chen, Y.Mao, and B.Q.Ma, hep-ph/0407381 19 Pentaquark States from Theory: anti-decuplet in chiral soliton models-1st version 20 Prediction of Diquark model S R.L. Jaffe and F. Wilczek, PRL91 (2003) 232003 [ud]2s Q+(1530) 1 I3 -1 X*- [ds]2u 1 S*0 -1 X*0 [us]2d X3/2(1750) 21 Evidence for New Pentaquark? NA49 at CERN s = 17,2 GeV pp X*-- X, X*0 X, X- p- X- p+ cSM: C. Alt et al., hep-ex/0310014 M(X*--) = 2070 MeV [qiqj]2q: M(X*--) = 1750 MeV But: It is not what theory predicted ! D. Diakonov et al., hep-ph/0310212 1,862 0,002 GeV 22 Anti-Decuplet in Chiral Soliton Model - Version 2 S D. Diakonov and V. Petrov hep-ph/0310212 B. Wu and Ma, hep-ph/0311331, PRD uud ds Q+(1539) 1 sdu.. -1 duu(dd+ss) sdd.. sdu.. X*- ssd du 1 S*0 ssd (uu+dd) I3 N(1647) 108 MeV suu(dd+ss) -1 S(1754) X*0 ssu.. ssu ud X3/2(1862) 23 Where are the missing members of antidecuplet? • For baryons with spin ½ and + parity, there is no N around, and a weak evidence for S(1770), so Diakonov and Petro (hep-ph/0310212) suggeted a missing N around 1650-1690 MeV; the position of N(1710) is not at M=1710 MeV, but some where around M=1650 to 1690 MeV, suggested by Arndt et al(nucl-th/0312126) . • We noticed ( hep-ph/9311331) that there are candidates of N(1650) and S(1750) with spin ½ and negative (–) parity, in PDG This may suggest a negative parity for antidecuplet members in the chiral soliton model: parity in chiral solition has two parts: quantized part with positive parity and classical part with unknown parity; the collective coordinate quantization can not inevitably fix the parity of the corresponding baryons. 24 The width formula and the widths in the case of negative parity decay width is excellent for S(1750), but poor for N(1650) , possible solution: SU(3) breaking for baryons with strangeness, or there is a missing N resonance around 1650 with narrow width. 25 Theories of positive parity for Q+ • Chiral Soliton Models (old version) Diakonov-Petrov-Polyakov, ZPA359(1997)305 • Analysis in Quark Model Stancu-Riska, PLB575(2003)242 • Diquark Cluster Model Jaffe-Wilczek, PRL91(2003)232003 • Diquark-Triquark Model Karliner-Lipkin, PLB575(2003)249 • Inherent Nodal Structure Analysis Y.-x.Liu, J.-s.Li, and C.-g. Bao, hep-ph/0401197 26 Theories of negative parity for Q+ • Naive Quark Model Jaffe (1976) • Some Quark Models Capstick-Page-Roberts, PLB570(2003)185 Huang-Zhang-Yu-Zhou, hep-ph/0310040,PLB • QCD Sum Rules Zhu, PRL91(2003)232002, Sugiyama-Doi-Oka, hep-ph/0309271 • Lattice QCD Sasaki, hep-ph/0310014, Csikor et al, hep-ph/0309090, but we heard difference voices recently 27 Where is the answer? Experiment! • Many suggestions on detecting the parity Oh-Kim-Lee, hep-ph/0310019 Zhao, hep-ph/0310350 Liu-Ko-Kubarovsky, nucl-th/0310087 Nakayama-Tsushima, hep-ph/0311112 Thomas-Hicks-Hosaka, hep-ph/0312083 …… • Measurement of parity is crucial to test theories 28 / or S=1/2 / What else if I=0 • Answer: Most theories would need revision! Would be a new surprise! 29 Predictions of New Pentaquarks -27-plet Figure from Wu & Ma, PRD69(2004)077501. 30 The mass splitting of the 27-plet from chiral solitons 31 The widths of the 27-plet baryons SU(3) Symmetric Case 32 The picture of the 27-plet baryons: non-exotic members are well established We suggest that the quantum numbers of X(1950) is JP=(3/2)+ 33 Many new pentaquarks to be discovered 34 Predictions of Q* • Walliser-Kopeliovich, hep-ph/0304058 mass=1650/1690 MeV • Borisyuk-Faber-Kobushkin, hep-ph/0307370 mass=1595 MeV, width=80 MeV • Wu-Ma, PLB586(2004)62 mass=1600 MeV, width less than 43 MeV 35 Predictions of New Pentaquarks -35-plet Figure from Wu & Ma, PRD, to appear . 36 Mass splitting of 35-plet from chiral solitons 37 The widths of the 35-plet baryons SU(3) Symmetric Case 38 Prediction of Pentaquarks in SU(4) Chiral Solition Model B.Wu and B.-Q.Ma, hepph/0402244, PRD to appear 39 Experiment Evidence at H1 hep-ex/0403017 40 _ The pentaquark uuddc • Prediction of the mass of the ground uuddcbar: m=2704 MeV, as pD state Wu-Ma, hep-ph/0402244 • Observation by H1 Collaboration: m=3099 MeV hep-ex/0403017 can be considered as pD* state • From M(D*-D)~300 MeV, the observed uuddcbar can be considered as an excited state (chiral partner) of the predicted ground pentaquark state M. Nowak et al, TPJU-4/2004, BNL-NTBNL-NT-04/10 41 Conclusions • The discovery of pentaquark Q+,if confirmed, opens a new window to understand the basic structure of matter. • Measurement of the parity, isospin and spin of Q+ is crucial to test different theories • There could be new pentaquark states waiting for discovery 42