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Dependence from target’s atomic mass of the cross section

Dependence from target’s atomic mass of the cross section of deuterons fragmentation into cumulative and twice-cumulative pions. A.Litvinenko , E . Litvinenko LHEP JINR litvin@moonhe.jinr.ru. 1. Outline Introduction d efinition s motivation S imulation structure

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Dependence from target’s atomic mass of the cross section

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  1. Dependence from target’s atomic mass of the cross section of deuterons fragmentation into cumulative and twice-cumulative pions A.Litvinenko, E.Litvinenko LHEP JINR litvin@moonhe.jinr.ru 1 A.Litvinenko

  2. Outline • Introduction • definitions • motivation • Simulation • structure • contribution of the various mechanisms • Results for cumulative pions • comparison with experimental data • predictions • Simulation for twice-cumulative pions • Results for twice-cumulative pions • Conlusions 2 A.Litvinenko

  3. Cumulative particle(с) defenition 1. subthreshold 2. Produced in the fragmentation region of one of the primary particles Colliding particles are included in the definition of asymmetric! 3 A.Litvinenko

  4. Colliding particles are included in the definition of asymmetric! Geometry Target fragmentation + cum. part. beam target X Beam fragmentation + cum. part. beam target X 4 A.Litvinenko

  5. Colliding particles are included in the definition of asymmetric! measured effect Dependence from the atomic mass of the colliding nuclei fragmenting nucleus Not fragmenting nucleus 5 A.Litvinenko Yu.S.Anisimov at al., Nucl.Phys., 60, 1070, (1997). V.K.Bondarev et al., JINR Rapid Comm., No.4,4, (1984)

  6. Experimental data L.Anderson etal., Phys.Rev.C, C28, 1224, (1983). E.Moelleretal., Phys.Rev.C, C28, 1246, (1983). 6 A.Litvinenko

  7. Models of cumulative particles production hot flucton cold flucton C C 7 A.Litvinenko

  8. Simulation (structure) INITIAL STATATE coordinates of the nucleons Beam nuclei Target nuclei PRODUCTION + RESCATERING Of HADRONS

  9. INITIAL STATATE coordinates of the nucleons DEUTERON HulthenDWF M.Sagavara L.Hulthen. Handb. Phys., 39, 1, (1957).

  10. INITIAL STATATE coordinates of the nucleons Barlet R.C., Jakson D.F.Nuclea Sizes and Structure N.Y.: Oxford Univ.Press., (1997)

  11. INITIAL STATATE coordinates of the nucleons Barlet R.C., Jakson D.F.Nuclea Sizes and Structure N.Y.: Oxford Univ.Press., (1997)

  12. Scattered particles == particles from entering the cylinder S.G. Mashnik et al., nucl-th/0210065v2. 12 A.Litvinenko

  13. Simulation of inelastic deuteron-nuclei cross section open circles –experimental data A.Auce and etal., Phys.Rev.C, C53, 2919, (1996). closed circles – simulated data

  14. Simulation of the pion production «direct» mechanism --probability of the deuteron scatter -- probability of pion leave the target without scattering 14 A.Litvinenko

  15. Pions production «direct» mechanism R b R L

  16. Pions production «direct» mechanism C Cu Pb

  17. experiment vs theory V.K.Bondarev at al.,JINR Communication, E93-84, (1984) Yu.S.Anisimov at al., Nucl.Phys., 60, 1070, (1997). Simulation

  18. Pions production 2 «cascads» - direct - cascades (#1+#2) x 100 18 A.Litvinenko

  19. Conclusions • The reaction of the fragmentation of the incident deuterons into cumulative pions on targets with different atomic was discussed. The simulation, based on the nucleon-nucleon scattering gives a good description of the experimental data on the dependence of the cross-section from atomic mass of the target. • The contribution of cascade mechanisms was studied. It was shown that even for the heaviest nuclei, this contribution does not exceed one percent.

  20. Cumulative region

  21. Impulse approximation for pion production in deuteron proton scattering

  22. Integration over internal momentum

  23. Twice-cumulative region

  24. Impulse approximation for pion production in deuteron deuteron scattering

  25. Non cumulative region Cumulative region Twice-cumulative region

  26. Blokhintsev D.I., JETF (RUS), 33, 1295, (1957 ) : «flucton – two (or greate) nucleon at short distance» short distance high internal momentum

  27. Simulation. Difference between production of cumulative and twice cumulative pions cumulative~ density of nucleon twice cumulative~ density of fluctons

  28. for simulation one needs model needs a model of flucton Next part of report. Volume model of flucton will be used A.M.Baldin, PEPAN, 8(3), 429, (1977)

  29. Dependence of the cross section from atomic mass of target nuclei in cumulative and twice cumulative (volume model of flucton ) simulation -twice cumulative -cumulative exp. data (cum) Yu.S.Anisimov at al., Nucl.Phys., 60, 1070, (1997).

  30. Dependence of the cross section from atomic mass of target nuclei in cumulative and twice cumulative (volume model of flucton )

  31. Conclusions • The reaction of the fragmentation of the incident deuterons into twice cumulative pions on targets with different atomic was discussed. The simulation, based on the nucleon-nucleon scattering shows that cross section dependence from atomic mass is sensitive to the model of flucton. • The simulation with volume model of flucton was performed. From this simulaion was obtained that dependence from target anomic mass in twice cumulative region is more stronger than in cumulative region.

  32. Backup Slides 32 A.Litvinenko

  33. Cumulative number (Scale variable) } 33

  34. Cumulative number (Scale variable) 34 6 March 2006

  35. Скейлинг (Суперскейлинг? ): • Независимость от начальной энергии; • Независимость от типа детектируемой (кумулятивной) частицы; • Независимость от типа налетающей частицы; • Независимость от ядра мишени для средних и тяжелых ядер; Налетающие частицы: лептоны, мезоны, ядра Ядра мишени: дейтрон - свинец 35

  36. Independence of the cross section behavior from cumulative particle 36

  37. Independence from initial energy. 30-40 % 37

  38. Independence from fragmenting nuclei 38

  39. Ю.С.Анисимовидр., ЯФ, 60, 1070, (1997). V.K.Bondarev etal., JINR Communication,E1-93-84,Dubna, (1993). пионы 39 A.Litvinenko

  40. Theory Non nucleon degrees of freedoms Empirical approaches ... 40

  41. Simulation. Difference between production of cumulative and twice cumulative pions cumulative~ density of nucleon twice cumulative~ density of fluctons

  42. Yu.S.Anisimov at al., Nucl.Phys., 60, 1070, (1997). A.Litvinenko

  43. A.G.Litvinenko, A.I.Malakhov,P.I.Zarubin, JINR Rapid Communication №1(58) ,27,(1993)

  44. ДУАЛИЗМ – HOW IT IS LOOKS LIKE 44

  45. 45 6

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