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Generator of PP-elastic scattering events

This project involves simulations of elastic PP and Pbar-P interactions, fitting expressions for amplitudes, comparing simulations with experimental data, and parameterization at COSY energies. The code structure for simulation under ROOT framework is detailed, along with discussions on Coulombic-hadronic interference. Results are presented for the hadronic part of PP elastic scatterings, and comparisons are made with existing experimental data. Various analyses and interpolations on elastic scattering amplitudes are performed to enhance understanding and modeling.

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Generator of PP-elastic scattering events

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  1. Generator of PP-elastic scattering events A. Galoyan 18/3/2015 1. Simulations of elastic P-P and Pbar-P interactions in frame of Unified systematics of elastic scattering data 2. Parameterization of hadronic part of pp elastic scattering at COSY energies 3. Structure of code for simulation of PP-elastic scatterings under ROOT 4. Results of PP elastic scatering simulations with hadronic and Coulomb parts. 5. Comparison of our simulations with new exp. data from Koala 6. Simulation of inelastic PP interactions in the frame of FtfEvtGen in PandaRoot 7. Conclusion 1

  2. Diffferential cross section of elastic PbarP scatterings R. Cahn, Z. Phys. C15, 253-260 (1982) Coulombie-Hadronic Interference in an Eikonal Model 2

  3. New parameterization of anti-PP elastic scattering differential cross section adTa_Fig8 Black disk model approximation with diffuse boundary Imaginary part of elastic scattering amplitude Real part of elastic pbar-p amplitude. Derivative dispersion relations J.B. Bronzan, G.L. Kane, U.P. Sukhatme, Phys. Lett. 49B (1974) 227; M.M. Block, R.N. Cahn, Rev. Mod. Phys. 57 (1985) 563 3

  4. Fitting expression for elastic amplitude adTa_Fig8 94 sets of exp data were used from Plab=181 MeV/c up to sqrt(S)=1800 GeV Fitting results (low energy) Fitting results 4

  5. Fiting results (intermediate and high energies ) 94 sets of exp data were used from Plab=181 MeV/c up to sqrt(S)=1800 GeV 5

  6. Fitting results for elastic PP- interactions 68 sets of exp. data on PP-scattering were used 6

  7. Interpolation of parameters Rpp (Rpbarp) and dpp (dpbarp) 7

  8. Interpolation of Ratio of Real to Imaginary parts of the elastic Pbar-P scattering amplitude “Structure of antiproton-proton elastic scattering amplitude” A. Galoyan, V. Uzhinsky, JETP Letters, v. 94, No 7 (2011) 8

  9. Expression for amplitude of elastic PP и PbarP scatterings “Improved Systematic of pp Elastic Scattering Data” V. Uzhinsky and A. Galoyan, hep-ph 1210.1338 (2012) At high energies: 9

  10. Сomparison of calculations with exp.data on elastic PP scatterings 10

  11. Results of Totem experiment on pp-scatterings at 7 TeV EPL, 95 (2011) 41001, EPL 96 (2011) 21002 R=1.07 fm, d=0.375 fm V. Uzhinsky, A. Galoyan, Nov 2011. e-Print: arXiv:1111.4984 "Description of the Totem experimental data on elastic pp-scattering at sqrt(s)=7 TeV in the framework of unified systematic of elastic scattering data.“ 11

  12. Parameterization of hadronic part of pp elastic scattering at COSY energies D. Alberset al.,(EDDA Collaboration), Phys. Rev. Lett. 78, 1652 (1997) Proton-Proton Elastic Scattering Excitation Functions at Intermediate Energies 1.139,1.168, 1.197, 1.225, 1.254, 1.283, 1.312, 1.341, 1.369, 1.398, 1.427, 1.456, 1.485, 1.513, 1.542, 1.571, 1.6, 1.628, 1.657, 1.686, 1.715, 1.743, 1.772, 1.801, 1.83, 1.859, 1.887, 1.916, 1.945, 1.974, 2.003, 2.031, 2.06, 2.089, 2.118, 2.146, 2.175, 2.204, 2.233, 2.261, 2.29, 2.319, 2.348, 2.377, 2.405, 2.434, 2.463, 2.492, 2.521, 2.549, 2.578, 2.607, 2.636, 2.664, 2.693, 2.722, 2.751, 2.78, 2.808, 2.837, 2.866, 2.895, 2.924, 2.952, 2.981, 3.01, 3.039, 3.067, 3.096, 3.125, 3.154, 3.182, 3.211, 3.24, 3.269, 3.298, 3.326, 5.5 12

  13. Parameterization of hadronic part of pp elastic scattering at COSY energies ! 13

  14. Parameterization of hadronic part of pp elastic scattering at COSY energies 14 It is not well!

  15. Parameterization of hadronic part of pp elastic scattering at COSY energies Chi^2/NoF=1.017 It is not well! 15

  16. Parameterization of hadronic part of pp elastic scattering at COSY energies Chi^2/NoF=2.97 16 It is acceptable!

  17. Code for simulation of PP elastic Classfor simulation of elastic P-P interactions PPElastic void Run(Double_t Plab, Int_t nevents, Double_t tetmin=-1.) void Init(Double_t Plab=20., Double_t tetmin=-1.); Double_t SampleInvariantT (Double_t plab, Int_t Z ); methods for sampling of emmision angles methods: Double_t SampleThetaLab( plab, Z); Double_t SampleThetaCMS( plab, Z); fT, fTetaCMS, fThetaLab, rho, B, sigma_totetc. Main data of class Function for PP-simulations and creating file with root Tree. runAndSaveTree(Nevent, Plab, Double_t Tetmin=-1,char *fname=«PPel.root») 17

  18. Run MC program for simulation of elastic PP scatterings at COSY energies root >.L ppelast.C++ There are 2 possibilities: root > runAndSaveTree(1000, 2.1); «PPelast.root» file with hadronic part of PP elastic 1000 events at 2.1 GeV/c projectile mometum is created root > runAndSaveTree(1000, 2.1, 0.1, «PP.root»); «PP.root» file with hadronic, coulomb, interf. parts of PP elastic 1000 Events at initial momentum 2.1 GeV/c and theta_min = 0.1 deg. is created 18

  19. Run MC program for simulation of elastic PP scatterings at COSY energies 19

  20. Results of MC program for simulation of elastic PP scatterings and Koala exp. data Exp. data on proton-proton elastic scattering are described well 20

  21. Simulation of inelastic PP scatterings as background events • Q. Hu et al., Eur. Phys. J. A50(2014)10, 15 • Using FTF generator from PandaRoot we can simulate inelastic PP scatterings • /pgenertors/FtfEvtGen • make –f Ftfmake • FTFGen exe file is produced • To simulate inelastic PP scatterings in the input file PbarP.mac, put • #particle • proton • # generator • bertini • #plab • momentum of projecile in GeV/c • #events • required number of generated events • > ./FTFGen PbarP.mac • FTF.root file will be created with all characteristics of produced particles 21

  22. Simulation of inelastic PP scatterings as background events FTF.root file for PP inelastic events at initial momentum 2.8 GeV/c Number of produced protons and pi+ mesons is big. They can create background for elastic PP-interactions 22

  23. Simulation of inelastic PP scatterings for background events pi+ mesons can give main background for recoil protons in elastic PP interactions 23

  24. Conclusion 1 New parameterization of PP elastic scattering is proposed at COSY energies. Good results are obtained at comparison with experimental data. 2. MC program is created with Hadronic part of PP elastic scattering based on the new parameterization. Coulomb and Interference parts of elastic scatterings are also implemented in the MC program. 3. Good description of Koala exp. data on PP elastic interactions are obtained. 4. For simulation of inelastic PP interactions for background events, FtfEvtGen from PandaRoot can be used. 24

  25. Results of MC program for simulation of elastic PbarP events at COSY energies Hadronic part of PP (new parametrisation and USESD) 22

  26. Implementation of “hadronic” part of elastic PbarP scattering in DPM generator in PandaRoot STT hits (A. Sokolov) Elastic scattering only

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