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Outline Introduction Our L (1405) results

Status of the ppK - Analysis and last words about L (1405). Outline Introduction Our L (1405) results Interpretation with Interference Effects and double pole structure The ppK- State PWA Analysis of the p+p-> p+K + + L. XXVI HADES Collab. Meeting. Dynamical generation of L (1405).

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Outline Introduction Our L (1405) results

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  1. Status of the ppK- Analysis and last words about L(1405) Outline Introduction Our L(1405) results Interpretation with Interference Effects and double pole structure The ppK- State PWA Analysis of the p+p-> p+K++L XXVI HADES Collab. Meeting

  2. Dynamical generation of L(1405) Two poles in complex energy plane: m1=1420 MeV (narrow quasi bound KN state) m2=1390 MeV (broad resonance in Sp) Solve coupled channel equation based on chiral dynamics (hadrons are the degrees of freedom) Prog.Part.Nucl.Phys. 67 (2012) 55-98

  3. Dynamical generation of L(1405) • Two poles in complex energy plane: • m1=1420 MeV (narrow quasi bound KN state) • m2=1390 MeV (broad resonance in Sp) • Experimental L(1405) in Sp spectrum: • K-+p reactions excite mainly1420 pole • p-+p reactions excite mainly 1390 pole • → L(1405) correlated with KN dynamics! Solve coupled channel equation based on chiral dynamics (hadrons are the degrees of freedom) Prog.Part.Nucl.Phys. 67 (2012) 55-98 Phys.Rev.Lett. 95 (2005) 052301

  4. Dynamical generation of L(1405) • Two poles in complex energy plane: • m1=1420 MeV (narrow quasi bound KN state) • m2=1390 MeV (broad resonance in Sp) • Experimental L(1405) in Sp spectrum: • K-+p reactions excite mainly1420 pole • p-+p reactions excite mainly 1390 pole • → L(1405) correlated with KN dynamics! Solve coupled channel equation based on chiral dynamics (hadrons are the degrees of freedom) Prog.Part.Nucl.Phys. 67 (2012) 55-98 Phys.Rev.Lett. 95 (2005) 052301

  5. Dynamical generation of L(1405) • Two poles in complex energy plane: • m1=1420 MeV (narrow quasi bound KN state) • m2=1390 MeV (broad resonance in Sp) • Experimental L(1405) in Sp spectrum: • K-+p reactions excite mainly1420 pole • p-+p reactions excite mainly 1390 pole • → L(1405) correlated with KN dynamics! Solve coupled channel equation based on chiral dynamics (hadrons are the degrees of freedom) Prog.Part.Nucl.Phys. 67 (2012) 55-98 Phys.Rev.Lett. 95 (2005) 052301

  6. Dynamical generation of L(1405) • Two poles in complex energy plane: • m1=1420 MeV (narrow quasi bound KN state) • m2=1390 MeV (broad resonance in Sp) • Experimental L(1405) in Sp spectrum: • K-+p reactions excite mainly1420 pole • p-+p reactions excite mainly 1390 pole • → L(1405) correlated with KN dynamics! Solve coupled channel equation based on chiral dynamics (hadrons are the degrees of freedom) Prog.Part.Nucl.Phys. 67 (2012) 55-98 Phys.Rev.Lett. 95 (2005) 052301

  7. Our L(1405) signal HADES coll. Phys. Rev. C 87, 025201 (2013) p + p → L(1405) + p + K+ S+/- + p-/+ n+ p+/- Identify four final state particles (dE/dx and momentum) 2. Identify S+, S- and neutron via missing mass technique 3. Identify L(1405) (missing mass to proton and K+)

  8. Our L(1405) signal HADES coll. Phys. Rev. C 87, 025201 (2013) p + p → L(1405) + p + K+ S+/- + p-/+ n+ p+/- ** from Hyperfine Interact. 210 (2012) 45-51

  9. Our L(1405) signal HADES coll. Phys. Rev. C 87, 025201 (2013) ** from Hyperfine Interact. 210 (2012) 45-51

  10. L(1405) in different experiments Nuclear Physics B129 (1977) 1-18Nucl.Phys. A835 (2010) 325-328 Phys.Rev. C87 (2013) 025201 p+p 4.3 GeV/c K-+d 0. 68 – 0.84 GeV/c g+p 1.77<pg<1.99 Physics Lett. B660(2008) p+p 3.65GeV/c 1405 MeV • Different masses in different experiments • Confirms two pole structure of L(1405) • In our case: large coupling to Sp resonance at 1390 MeV ?

  11. L(1405) in different experiments Nucl.Phys. B56 (1973) 46-51, Phys.Rev.Lett. 15 (1965) 224 • Comparison of our data to p-+p (1.69 GeV/c) • data shows similarities

  12. L(1405) in different experiments Nucl.Phys. B56 (1973) 46-51, Phys.Rev.Lett. 15 (1965) 224 p-+p (1.69 GeV/c) Phys.Rev. C68 (2003) 065203 p+p (3.65 GeV/c) • Comparison of our data to p-+p (1.69 GeV/c) • data shows similarities • BUT: Theory (chiral ansatz) predicts large contribution from 1420 MeV pole • → L(1405) peaks above 1400 MeV/c2 Eur.Phys.J. A34 (2007) 405-412

  13. 2. Possible explanation for L(1405) signal 2. Double pole nature of L(1405) and include interference effects with non-resonant channels • Assumption: • Parameterize L(1405) as coherent sum of two Breit-Wigner functions with • Cp.s. the available phase space • qc.m. the decay momentum for pS

  14. 2. Possible explanation for L(1405) signal 2. Double pole nature of L(1405) and include interference effects with non-resonant channels • Assumption: • Parameterize L(1405) as coherent sum of two Breit-Wigner functions with • Cp.s. the available phase space • qc.m. the decay momentum for pS • Constrain m0,i and G0,i from latest Weise calculations • (Nucl.Phys. A881 (2012) 98-114) m0,1=Re(z1)=1424+7-23 MeV G0,1=2*Im(z1)=52+6-28 MeV m0,2=Re(z2)=1381+18-6 MeV G0,2=2*Im(z2)162+38-16 MeV

  15. 2. Possible explanation for L(1405) signal 2. Double pole nature of L(1405) and include interference effects with non-resonant channels • Assumption: • Parameterize L(1405) as coherent sum of two Breit-Wigner functions with • Cp.s. the available phase space • qc.m. the decay momentum for pS • Constrain m0,i and G0,i from latest Weise calculations • (Nucl.Phys. A881 (2012) 98-114) • Fit Oset calculation for p+p data with this parameterization and determine m0,i and G0,i, j1 and A1/A2 1 2

  16. 2. Possible explanation for L(1405) signal 2. Double pole nature of L(1405) and include interference effects with non-resonant channels • Assumption: • This L(1405) signal might interfere with the non-resonant background in our data. • Fit data simultaneously with following functions:

  17. 2. Possible explanation for L(1405) signal 2. Double pole nature of L(1405) and include interference effects with non-resonant channels • Assumption: • This L(1405) signal might interfere with the non-resonant background in our data.

  18. 2. Possible explanation for L(1405) signal 2. Double pole nature of L(1405) and include interference effects with non-resonant channels

  19. Remarks * The p+p → S-+D++(1232)+K+ reaction is a very probable candidate for the non-resonant part of the S- + p+ + p +K+ spectrum and has differrent quantum numbers then the L(1405) contribution. This does not lead to interferences * Why should both charged decay channels interfere in the same way? * Why we dont see any shift in in p+p -> S(1385)+ + K+ +n or for the L(1520) * p+p(@3.5GeV) ->p+p+p/p+p+p+p Incoherent analysis of 14 N* with angular distribution reproduce perfectly the data and is consistent with dilepton yield. This looks like small room for interferences..

  20. 3. Possible explanation for L(1405) signal 3. Double pole nature of L(1405) and no interference effects with non-resonant channels. • Assumption: • L(1405) signal does notinterfere with non-resonant background • Fit data simultaneously with following functions:

  21. 3. Possible explanation for L(1405) signal 3. Double pole nature of L(1405) and no interference effects with non-resonant channels. • Assumption: • L(1405) signal does notinterfere with non-resonant background • Fit data simultaneously with following functions: • Mass and width values are directly determined from fit to the HADES data. • Constraints on m0,i and G0,I are again taken from Weise results m0,1=Re(z1)=1424+7-23 MeV G0,1=2*Im(z1)=52+6-28 MeV m0,2=Re(z2)=1381+18-6 MeV G0,2=2*Im(z2)162+38-16 MeV

  22. 3. Possible explanation for L(1405) signal 3. Double pole nature of L(1405) and no interference effects with non-resonant channels. • Assumption: • L(1405) signal does not interfere with non-resonant background

  23. 3. Possible explanation for L(1405) signal 3. Double pole nature of L(1405) and no interference effects with non-resonant channels. 1 2

  24. Summary I HADES results in agreement with ANKE and p-induced reactions Difference with CLAS and k-induced reactions Model with BW parametrization for the pS and Kp poles 1) ‚Weise‘ values combined to fit ‚Geng- Oset‘ pp Calculation + interferences with non-resonant background: Agreement with the data but improbable 2) ‚Weise‘ values fitted directly to the data with incoherent sum of all sources: Agreement-> pS pole is dominating • Paper submitted to PRC tomorrow in the arxive • ‚Geng-Oset‘ calculation in p+p : enough diagramms included? • What if pS is dominating in pp, what about K-dynamics?

  25. The Idea of bound kaonic-nuclear clusters K- Is this possible? p K- p p Part of the Λ(1405) resonance Prediction of deeply bound Anti-Kaon nuclear states S. Wycech, Nucl.Phys. A450 399 (1986) T. Yamazaki and Y. Akaishi, Phys Lett. B 535 (2002) T. Yamazaki and Y. Akaishi, Phys Rev. C 65 (2002) Variational calculations Fadeev Calculations N.V. Shevchenko, A. Gal, J. Mares, Phys. Rev. Lett. 98 (2007) N.V. Shevchenko, A. Gal, J. Mares, J. Révay, Phys. Rev. C76 (2007) Y. Ikeda, T. Sato, Phys. Rev. C76 (2007) Y. Ikeda, T. Sato, Phys. Rev. C79 (2009) Y. Ikeda, H. Kamano T. Sato, Prog. Theor. Phys. 124 (2010) E. Oset et al. Nucl. Phys. A881 (2012) T. Yamazaki, Y. Akaishi Phys. Rev. C76 (2007) A. Doté, T. Hyodo, W. Weise Nucl. Phys. A804 (2008) A. Doté, T. Hyodo, W. Weise Phys. Rev. C79 (2009) S. Wycech, A. M. Green, Phys. Rev. C79 (2009) N. Barnea, A. Gal, E. Z. Liverts, Phys. Lett. B712 (2012) B(ppK-)≈ 14-80 MeV Г(ppK-) ≈ 40-110 MeV/c2 W. Weise, R. Hartle, Nucl.Phys. A 804 (2008) 173-185 A. Cieply, E. Friedman, A. Gal, D. Gazda, J. Mares, Phys. Rev. C 84 (2011) 045206 D. Gazda, E. Friedman, A. Gal, J. Mares, Phys.Rev. C76 (2007) 055204

  26. The Reaction

  27. Two data samples 85° 85° “HADES” data “WALL” data 7° 15° 15° 7° p p K K p p FW FW Λ Λ π π 8000 events of pK+Λ Background from wrong PID ≈11.7% Background from pK+Σ0 ≈ 3% 13,000 events of pK+Λ Background from wrong PID ≈6% Background from pK+Σ0 ≈1%

  28. Bonn-Gatchina PWA http://pwa.hiskp.uni-bonn.de/ A.V. Anisovich, V.V. Anisovich, E. Klempt, V.A. Nikonov and A.V. Sarantsev Eur. Phys. J. A 34, 129152 (2007) What we included to model the PK+Λ process: N* Resonances in the PDG with measured decay into K+Λ And the production of pK+Λ via non resonant waves This is a log-likelihood minimization on an event-by-event base

  29. Tested solutions The sequential inclusion of non-resonant terms was tested with 11 sets of solutions Set 1: Included are : N(1650) + N(1710) + N(1720) Set 2: Included are : N(1650) + N(1710) + N(1720) + N(1900) Set 3: Included are : N(1650) + N(1710) + N(1720) + N(1895) Set 4: Included are : N(1650) + N(1710) + N(1720) + N(1880) Set 5: Included are : N(1650) + N(1710) + N(1720) + N(1875) Set 6: Included are : N(1650) + N(1710) + N(1720) + N(1900) + N(1880) Set 6: Included are : N(1650) + N(1710) + N(1720) + N(1900) + N(1895) Set 8: Included are : N(1650) + N(1710) + N(1720) + N(1900) + N(1875) Set 9: Included are : N(1650) + N(1710) + N(1720) + N(1895) + N(1880) Set 10: Included are : N(1650) + N(1710) + N(1720) + N(1895) + N(1875) Set 11: Included are : N(1650) + N(1710) + N(1720) + N(1880) + N(1875)

  30. Non-resonant Terms This means a (pL) sate with (2S+1)LJ and JP combined together with a Kaon JP=(0-) Step by step higher waves of non-resonant background were included Versions of Non-Resonant Terms Version 0 = nonon resonant Wave Version 1 = (pL) (1S0)-K non resonant Waves Verison2 = Version 1 + (pL) (3S1)-K Verison3 = Version 2 + (pL) (1P1)-K Verison4 = Version 3 + (pL) (3P0)-K Verison5 = Version 4 + (pL) (3P1)-K Verison6 = Version 5 + (pL) (3P2)-K Verison7 = Version 6 + (pL) (1D2)-K Verison8 = Version 7 + (pL) (3D1)-K Verison9 = Version 8 + (pL) (3D2)-K

  31. Result of systematic variation SetA 

  32. Systematic uncertainty Inside HADES acceptance work in progress Inside WALL acceptance work in progress Data 10 solutions 4 best solutions

  33. Data 10 solutions 4 best solutions Inside HADES acceptance work in progress

  34. Data 10 solutions 4 best solutions Inside WALL acceptance work in progress

  35. Do we see an additional Signal?

  36. Significance test Hypothesis: We only have N* resonances and non resonant production in our data. Compare Data to hypothesis and determine local p-value If there is a yield that exceeds this hypothesis the p-value will be very small

  37. Local-p-value WALL Data HADES Data work in progress work in progress work in progress work in progress 1σ 1σ 2σ 2σ 3σ 3σ

  38. Local-p-value WALL Data HADES Data work in progress work in progress Data are consistent with N* and non resonant production only work in progress work in progress 1σ 1σ 2σ 2σ 3σ 3σ

  39. PWA Pool-Party Experiment Energy Momentum Statistics Polarised COSY-TOF 1,81 2,59 791 COSY-TOF 1,9 2,68 1037 COSY TOF 1,92 2,7 160000 COSY-TOF 2,06 2,85 4323 DISTO 2,145 2,93 ??? COSY TOF 2,15 2,95 46000 , COSY TOF 2,28 3,08 30000 DISTO 2,5 3,3 140000 y DISTO 2,85 3,67 140000 y FOPI 3,1 3,93 ~ 3500 n Hades 3,5 4,34 ~ 20.000 n Negotiation going-on with COSY-TOF and DISTO

  40. Summary II • A broad theoretical discussion is ongoing about possible Anti-Kaon Nuclear • bound states. No clear picture • HADES data can deliver new information • The kinematics of the pK+Λ production can not be described by pure Phase space • The best solution of the PWA analysis can describe the data well • We do not know which N*-resonances contribute to the reaction • The systematic uncertainty is, however, not big • We see no significant excess in the data compared to the PWA solution • Aim: Set an upper limit on the production cross section of ppK- in p+p at 3.5 GeV What about the N*-resonances are there tighter constraints possible?

  41. 3. Possible explanation for L(1405) signal 3. Double pole nature of L(1405) and no interference effects with non-resonant channels. • New Assumption: • Constraints on m0,i and G0,I are taken from Meissner results • (Nucl.Phys. A900 (2013) 51 - 64) Meissner et al. Weise et al. m0,1=Re(z1)=1428+2-1 MeV G0,1=2*Im(z1)=16+4-4 MeV m0,2=Re(z2)=1497+11-7 MeV G0,2=2*Im(z2)150+18-18 MeV m0,1=Re(z1)=1424+7-23 MeV G0,1=2*Im(z1)=52+6-28 MeV m0,2=Re(z2)=1381+18-6 MeV G0,2=2*Im(z2)162+38-16 MeV

  42. 3. Possible explanation for L(1405) signal 3. Double pole nature of L(1405) and no interference effects with non-resonant channels. • New Assumption: • Constraints on m0,i and G0,I are taken from Meissner results • (Nucl.Phys. A900 (2013) 51 - 64) Meissner et al. Weise et al. m0,1=Re(z1)=1428+2-1 MeV G0,1=2*Im(z1)=16+4-4 MeV m0,2=Re(z2)=1497+11-7 MeV G0,2=2*Im(z2)150+18-18 MeV m0,1=Re(z1)=1424+7-23 MeV G0,1=2*Im(z1)=52+6-28 MeV m0,2=Re(z2)=1381+18-6 MeV G0,2=2*Im(z2)162+38-16 MeV

  43. 3. Possible explanation for L(1405) signal 3. Double pole nature of L(1405) and no interference effects with non-resonant channels. • New Assumption: • Constraints on m0,i and G0,I are taken from Meissner results • (Nucl.Phys. A900 (2013) 51 - 64)

  44. 3. Possible explanation for L(1405) signal 3. Double pole nature of L(1405) and no interference effects with non-resonant channels. 1 2

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