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Stephan Paul TUM on behalf of the COMPASS Collaboration

The virtue of precision spectroscopy : A new axial-vector meson and The structure of the ( pp ) S-wave-isobar. Stephan Paul TUM on behalf of the COMPASS Collaboration. Todays presentation. Concentrate talk on Data-set mass-independent fit mass-dependent fit

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Stephan Paul TUM on behalf of the COMPASS Collaboration

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  1. The virtue of precision spectroscopy : A new axial-vector meson and The structure of the (pp) S-wave-isobar Stephan Paul TUM on behalf ofthe COMPASS Collaboration

  2. Todays presentation • Concentrate talk on • Data-set • mass-independent fit • mass-dependent fit • results for resonance parameters • A new axial vector meson: a1(1420) • pp S-wave extraction • results for 0-+, 1++, 2-+ • Role of f0(980) • Conclusions

  3. The COMPASS Experiment • Hadron beam: • 190 GeV/c p, K, p • 5∙107 particles/SPS-spill • 60 days data taking 2008 • Trigger: RPD hit, beam veto 50m

  4. The Process w coplanarity Preliminary generic process w/o coplanarity exclusive reaction zoom what we are after Preliminary 5∙107 evts

  5. First ImpressionsMotivation for Isobar Model m22p m22p Preliminary Preliminary Preliminary ff(1270) r r m22p m22p t’3p used in analysis Preliminary

  6. Kinematics and Isobars Preliminary Preliminary high t’ low t’ Preliminary Preliminary Preliminary 0.8< m3p<0.85 1.6 < m3p<1.65 grid of t’ used (11 bins) Dm: 20 MeV/c2

  7. Fit Model - Isobars • Use 88 waves: • 80 waves with positive naturality • 7 waves with negative naturality • flat wave (garbage collection) [pp]S not used

  8. Waves with Major Resonances Major waves Preliminary Preliminary 2 Preliminary Preliminary mass independent fits minimal m = (0,1) waves

  9. Major Waves m = 1 Preliminary mass independent fits m = 1 = mmin + 1 waves Preliminary

  10. t’ dependence of mass distributions low t’ Preliminary high t’ high t’ 4++1+ rpG 1++0+rp S 2++1+ rpD 2-+0+ f2p S

  11. More exotic families f0(980)

  12. Waves involving f0(980) 1++0+f0(980)p S 0-+0+f0(980)p S Preliminary Preliminary Preliminary 2-+0+ f0(980)p D

  13. Waves involving [pp]S Preliminary Preliminary Preliminary 1++0+[pp]Sp P 0-+0+[pp]Sp S 2-+0+[pp]Sp D

  14. Mass-dependent fit Use only lowest m = 0,1 waves (so far) This work: 6 waves Model: 2 resonances : a1(1260) and a1´ + non resonant term 2 resonances : a2(1320) and a2´ + non resonant term 1 resonance : a4(2040) + non resonant term 2 resonances : p2(1670) and p2´ + non resonant term 1 resonance : a1(1420) + non resonant term 1 resonance : p (1800) + non resonant term • 231 mass distributions with 23100 data points • 352 free parameters • systematic studies with 5 and 7 waves performed + non resonant term 1++1+rp S 2++0+ rpD 4++1+ rpG 2-+0+ f2p S 1++f0(980)p P 0-+f0(980)p S

  15. COMPASS Spin-Density Matrix Interferometry Reference waves low t’-slice only

  16. COMPASS Spin-Density Matrix Interferometry Reference waves high t’-slice only

  17. Mass dependent fits Fit in 11 t-bins incoherent sum

  18. Mass dependent fits Fit in 11 t-bins a1’ incoherent sum

  19. Mass dependent fits Fit in 11 t-bins a2’ 2++1+ rpD incoherent sum

  20. Mass dependent fits a1(1420) Fit in 11 t-bins incoherent sum

  21. Phase: a1(1420) fit range Fit in 11 t-bins: medium t’ a1(1420) a1’ a2’ a4 p2

  22. Results of Mass-Dependent Fit PDG Compass is a bit on the low side

  23. (pp)S-wave m Method: • Replace 2-body fixed parametrisation e.g. Breit-Wigner/Flatté description of an isobar or (pp)S by binned histogram • Histogram-entries are free parameters • instead of e.g. 3 isobars with JPC = 0++ use n histogram bins of two body mass [m12 , m12 + dm] with these quantum numbers • dm = 40 MeV/c2 • dm = 10 MeV/c2 around f0(980) (± 80 MeV/c2 ) • obtain new phase information: ftotal =fproduction+ fdecay

  24. Correlation: m2p – m3p low t’

  25. Correlation: m2p – m3p high t’

  26. (pp)*S-wave 0-+ below resonance at p(1800) above resonance f0(980) f0(1500) high t’

  27. (pp)*S-wave 2-+ below resonance at p2(1880) above resonance high t’

  28. (pp)*S-wave 1++ below resonance at a1(1420) above resonance high t’

  29. Study of (pp=f980)* 1++ S-wave • f0(980) correlated with a1(1420) • non-resonant contributions at low t’ • warning !! just intensity cuts, amplitude selection ☞ mass dependent fit low t’ high t’

  30. Further fun with f0(980) p-p➝p- p+n 1974/1975 f0(1370) Ke4 (ppne) Locher et al. 1997 COMPASS 2-+ COMPASS 0-+ f0(1370) ? f0(1500)

  31. Further fun with f0(980) CERN/Munich K-decays Locher COMPASS 2-+

  32. Conclusion • Establish new “2D” fit method to perform PWA • mass independent: m3p bins and t’ bins • Observe “various components” of resonances with different t’-dependencies: • extract resonance parameters • Identify non-resonant components • Establish new method to establish shape of isobar-spectrum • first application: [pp]S*: • Shows strong dependence on mother wave • Shows strong dependence on m3p • no unique parametrization yet • Reveals information on scalar isobars • Reveals different faces of f0(980) • Allows to measure phases in decays

  33. Conclusion I • Study of a1(1260) • Observe “various components” of a1(1260) with different t’-dependencies: Strong constraints on resonance parameters (w.r.t. PDG) • Ma1(1260) = 1260-1290 MeV/c2 , Ga1(1260) = 360 – 420 MeV/c2 • Find new iso-vector state a1(1420) • Ma1(1420) = 1412-1422 MeV/c2 , Ga1(1420) = 130-150 MeV/c2 • decay into f0(980)p in relative P-wave • observe full phase motion with respect to reference waves • coupling seems exclusively to f0(980) • Phase-behavior of (pp)S hints to strong ss-component Phase behavior opposite to (pp)S – coupling of p(1800) and p2(1880) • Nature of a1(1420) ? Isospin partner of f1(1420) (considered to be exotic) ?

  34. Conclusion II • Sort out higher excitations of a1 , a2 States observed in reanalysis of CB-data • both states found at being at phase-space boundary by Bugg et al. COMPASS: • reasonable constraints on a1’ Ma1(1930) = 1920-2000 MeV/c2 , Ga1(1930) = 155 – 255 MeV/c2 • poorer constraints on a2’ Ma2(1950) = 1740-1800 MeV/c2 , Ga2(1950) = 300 – 555 MeV/c2 • Radial excitation of p • p(1800) well known: COMPASS observes decay into f0(980) and f0(1500) with two full circles from the Argand-diagram. Shape of f0(980) and f0(1500) to be investigated • Mp(1800) = 1768-1807 MeV/c2 , Gp(1800) = 215 – 280 MeV/c2

  35. Conclusion III • Orbital-excitation of p • p2(1670) well known: COMPASS observes decay into f2(1270) Mp2(1670) = 1635-1663 MeV/c2 , Gp2(1670) = 265-305 MeV/c2 • no evidence so far for coupling into [pp]S* • p2(1880) : Clear signal observed in f2 and f0. Strong coupling to iso-scalar sector • COMPASS: Decays observed into f0(980) and f2(1270) Mp2(1880)➝f2(1270) p= 1900-1990 MeV/c2 , Gp2(1880)➝f2(1270) p= 210-390 MeV/c2 • Other mesons: • a2(1320) clearly identified: Ma2(1320) = 1312-1315 MeV/c2 , Ga2(1320) = 108-115 MeV/c2 • a4(2040) clearly identified: Ma4(2040) = 1928-1959 MeV/c2 , Ga4(2040) = 360-400 MeV/c2 comes our lighter and broader than PDG consistent with 2004 and h(’)p

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