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“Exotic” hadron-hadron S-wave Interaction

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“Exotic” hadron-hadron S-wave Interaction. Bing-song Zou IHEP, Beijing. Outline “Exotic” pp S-wave Interaction Why interested ? How “exotic” ? Similarity between pp, pK and p N s-wave scattering What’s the nature of the broad s ?

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  1. “Exotic” hadron-hadron S-wave Interaction Bing-song Zou IHEP, Beijing

  2. Outline • “Exotic” pp S-wave Interaction • Why interested ? How “exotic” ? • Similarity between pp, pK and pN s-wave scatteringWhat’s the nature of the broad s ? • Why it appears narrower in production processes ? • Why f0(980)’s peak width is so narrow ? • 2. I=0 1S0`pp & I=1 1S0pp near threshold enhancement • 3. KL S-wave near threshold enhancement • in J/y p K-`L vs p p p K+ L

  3. “Exotic” pp S-wave Interaction • Why interested ? • 1) a fundamental strong interaction process and • a necessary input for many reactions involving • multi-pions • 2) I=0 pp S-wave has the same quantum number • of f0 resonances which include : • s/f0(600) (s-model, s-exchange for NN interaction) • and the lightest glueball candidate f0(1500)/f0(1710) p f0 p p p

  4. How “Exotic” ? p p p p p p

  5. CERN-Munich data: B.Hyams et al., Nucl. Phys. B64 (1973) 134.

  6. Exotic I=0 S-wave I=1 P-wave r(770) I=1 F-wave I=0 D-wave f2(1270) r3(1690) D.V.Bugg, A.Sarantsev,B.S.Zou, Nucl. Phys. B471 (1996) 59

  7. pp phase shifts d

  8. pp inelasticity h

  9. “Exotic” pp S-wave interaction : broad s-background with narrow resonances as dips instead of peaks

  10. Similarity for pp, pK and pN s-wave scattering pp (I=0) pK (I=1/2) pN(I=1/2) p+ p p+p+ p+K+

  11. What’s the nature of the broad s ? Important role by t-channel r exchange for all these processes p p r p p pp pK & pN KrI=0 = - 2 KrI=2 , KrI=1/2 = - 2 KrI=3/2 D. Lohse, J.W. Durso, K. Holinde, J. Speth, Nucl.Phys.A516, 513 (1990) B.S.Zou, D.V.Bugg, Phys. Rev. D50, 591 (1994)

  12. Basic features of I=2 pp Interaction F.Q.Wu, B.S.Zou et al., Nucl. Phys.A735 (2004) 111 attractive force by t-channel f2 repulsive force by t-channel r S-wave Inelasticity by pp rr

  13. An important cause for hadron-hadron S-wave interactions appearing “exotic” is t-channel meson-exchange amplitude has a comparable strength as s-channel resonance contribution for S-waves. For higher partial waves, s-channel resonance contribution dominates.

  14. Why broad s appears narrower in production processes than in pp elastic scattering? Tel= K / ( 1 - i r K ) = K + K i r K + K i r K i r K + … Tprod= P / ( 1 - i r K ) = P + P i r K + P i r K i r K + …

  15. Tel from Bugg,Sarantsev,Zou Nucl. Phys. B471 (1996) 59 with s pole at ( 0.571 – i 0.420 ) GeV Tprod= Tel *P/ K , K = tan d / r el prod assuming P=1

  16. How about production vertex P ? • P(V’Vp+p-) • T. Mannel, R. Urech, Z. Phys.C73, 541 (1997); • Ulf-G. Meißner, J.Oller, Nucl.Phys. A679 (2001) 671; • L. Roca, J. Palomar, E. Oset, H.C.Chiang, Nucl. Phys. A744 (2004) 127 • F.K.Guo,P.N.Shen, H.C.Chiang, R.G.Ping, Nucl.Phys.A761 (2005) 269 • For y’J/y p+p- , Ep small, 1st term dominates •  higher s peak • For y w p+p- , Ep large, 2nd term dominates •  lower s peak • peak position is process dependent ! P ~ c1 + c2 s

  17. BES, Phys.Rev. D62 (2000) 032002 y’J/y p+p- BES, Phys.Lett. B598 (2004) 149

  18. Why f0(980)’s peak width is so narrow ? BES, hep-ex/0411001 M = 965 MeV g1 = 165 MeV2 r = g2/g1 = 4.21 r = 4.21 Strong coupling to`KK strongly reduce the peak width of f0(980) r = 0

  19. B.S.Zou, hep-ph/9611235, “pp S-wave interaction and 0++ particles” 0++ particles with substantial couplings to pp : s/f0(600), f0(980), f0(1500), f0(1780-1800)

  20. BES II Preliminary f0(1790) ? BES collaboration, hep-ex/0411001

  21. 2. I=0 1S0`pp & I=1 1S0pp near threshold enhancement p p  p p h J/ → `pp |M|2 BES Both arbitrary normalization BES, Phys. Rev. Lett. 91, 022001 (2003) COSY-TOF, Eur.Phys.J.A16, 127 (2003)

  22. One-Pion-Exchange and BES pp (1S0) near threshold enhancement Zou B.S., Chiang H.C. Phys.Rev.D69 (2004) 034004 NN interaction : { 9 (S , I ) = (0,0) 1 (S , I ) = (1,1) -3 (S , I ) = (1,0) or (0,1) deuteron `NN interaction : I=0, `pp (1S0) gets the biggest attractive force !

  23. One p exchange FSI & p + s exchange FSI

  24. p+s+r+w exchange FSI & full FSI by A.Sibirtsev et al. hep-ph/0411386

  25. I=1 s-wave P-wave I=0 s-wave A.Sibirtsev, J. Haidenbauer, S. Krewald, Ulf-G. Meißner, A.W. Thomas,hep-ph/0411386

  26. Near threshold enhancement for I=0`NN annihilation (I=0) + (I=1) Pure I = 1 E. Klempt, F. Bradamante, A. Martin, J. Richard, Phys. Rept. 368 (2002) 119

  27. 0-+ resonances decaying to meson channels PWA Results on J/y to 4p J/y -> g h p p 0- + 0- + BES, Phys. Lett. B446 (1999) 356 BES, Phys. Lett. B472 (2000) 207

  28. In summary,`pp near threshold enhancement is very likely due to some broad sub-threshold 0-+ resonance(s) plus FSI.

  29. 3. KL s-wave near threshold enhancement • complimentary BES and COSY experiments • J/y P K-`L vs P P P K+ L P`L &P L the samet-channel interaction K-`L & K+L the same interaction • P K- for L* P K+ for pentaquarks

  30. Near-threshold enhancement inMK Nx Nx Events/10MeV (Arbitrary normalization) PS, eff. corrected Nx

  31. BES Collaboration, Phys. Lett. B510 (2001) 75

  32. B.C.Liu and B.S.Zou, Phys. Rev. Lett. 96 (2006) 042002 From relative branching ratios of J/y p`N*  p (K-`L) / p (`ph) gN*KL /gN*ph /gN*pp ~ 1.3 : 1 : 0.6 Smaller N*(1535) BW mass previous results 0 ~ 2.6 from pN and gN data

  33. P P P K+ L withgN*KL /gN*ph = 1.3 with N*(1535) without N*(1535) K.Tsushima, A.Sibirtsev, A.Thomas, Phys.Rev.C59 (1999) 369

  34. Mass of N*(1535) (1) (2) (3)

  35. A.Zhang, Y. Liu, P. Huang, W. Deng, X.Chen, S.L. Zhu, hep-ph/0403210 : 1/2- and 1/2+ octet N* pentaquarks have similar masses in Jaffe-Wilczek diquark model `q ½ - [ud] [us] u `q ½+ [ud] [ud] u S d `q `q }L=0 }L=1 u d u d N*(1535) ~ uud (L=1) + e [ud][us]`s + … N*(1440) ~ uud (n=1) + x [ud][ud]`d + … L*(1405) ~ uds (L=1) + e [ud][su]`u + … Larger [ud][us]`s component in N*(1535) makes it coupling stronger to Nh & KL, weaker to Np & KS, and heavier ! B.C.Liu, B.S.Zou, PRL 96(2006)042002

  36. Summary for our study on J/y P K-`L and P P P K+ L 1) KL near-threshold enhancement due to N*(1535) with gN*KL /gN*ph = 1.0 ~ 1.6 compatible with all KL data 2) Larger [ud][us]`s component in N*(1535) makes it coupling stronger to strangeness and heavier !

  37. Thank You!