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The presence of extra P11 resonances in Zagreb analysis since 1995

The presence of extra P11 resonances in Zagreb analysis since 1995. A. Švarc, S. Ceci and B. Zauner Rudjer Bošković Institute Zagreb. Definition of the Zagreb model. CMU-LBL formalism. Formalism:.

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The presence of extra P11 resonances in Zagreb analysis since 1995

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  1. The presence of extra P11 resonances in Zagreb analysis since 1995 A. Švarc, S. Ceci and B. Zauner Rudjer Bošković Institute Zagreb

  2. Definition of the Zagreb model CMU-LBL formalism

  3. Formalism:

  4. GENERAL AGREEMENT the number of resonances directly corresponds to the number of poles of the Green function in the CMU_LBL formalism PROBLEM: resonance identification

  5. The input for the Zagreb model 1. pion elastic channel : partial T-matrices (KH-80+SM85) 2. eta-production channel:DATA BASE 3. number of Green function poles per partial wave

  6. The criterion of acceptancethe best chi-square fitgeneral acceptability

  7. Number of Green function poles required by the Zagreb PWA(possible solutions) S11: three poles in the Green function (the same as PDG) P11: a. three poles in the Green function b. four poles in the Green function

  8. The model with four polesBatinic et al. Physica Scripta 58 (1998) 15black line The model with three poles Batinic et al. Phys. Rev C51 (1995) 231 red line

  9. The best obtained chi-square/data pointthree poles model: 1.522four poles model: 1.301

  10. Obtained P11 T-matrices COMPARISON

  11. 0.4 0.8 0.2 0.6 0 0.4 - 0.2 0.2 - 0.4 0 1500 2000 2500 3000 1500 2000 2500 3000

  12. 0.6 0.1 0.5 0.05 0.4 0 0.3 - 0.05 0.2 - 0.1 0.1 - 0.15 0 1500 2000 2500 3000 1500 2000 2500 3000

  13. The resonance criterion(T-matrix pole)

  14. Resonance parameters for 3 Green function poles

  15. Resonance parameters for 4 Green function poles

  16. CONCLUSIONS 1. We obtain two solutions, with three and four poles respectively, which to the precision of the input data equally well reproduce and channels 2. The three resonant solution does not give any significan branching ratio to the channel so we prefere a four resonance solution 3. We do not claim that such a three resonant solution does not exist, we simply claim that at the present moment we have no means to find it

  17. The solutionWe are developing the general purposse code(GPC)

  18. The flow chart

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