1 / 34

Barrelet zeros

This document presents a comprehensive analysis of spinless particle scattering in the center of mass frame, focusing on the interplay between poles and zeros in partial wave analysis (PWA). The work highlights Barrelet ambiguities and demonstrates how to find amplitudes via truncation techniques. It explores chiral symmetry implications and the π-ρ connection using Adler's zero. The findings are essential for understanding hadron states and refining scattering amplitudes, providing a clearer pathway for theoretical and experimental applications in particle physics.

reese-fletcher
Télécharger la présentation

Barrelet zeros

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Barrelet zeros PWA 2011 GWU May 2011

  2. hadron states 1 M2 – s – iM x

  3. variables: E =  s ,  spinless particle scattering cm

  4. Spin analysis M 1 q M 2 Spectroscopy: interplay ofpoles & zeros

  5. pp pp t u r f 2 s r 3 u s t

  6. 2 f m p p m d A = m

  7. Chiral symmetry 2 f m p p m d A = m Adler zero makes the - connection

  8. pp pp

  9. how to find the amplitudes 2J Truncate j < 2J

  10. let z = cos 

  11. F(s,z) exp (i) 2J amplitudes how to find the amplitudes Barreletambiguity

  12. Barrelet ambiguity D cos  S P

  13. Barrelet ambiguity D D´ cos  P´ S P S´

  14. Barrelet zeros continuity

  15. pN pN

  16. s (1+P) d / d W S = A P (z) n n n pN pN S - B P (z) = sin q n n 2 _ _ = | f + i g | n 2 2 s s = | f | + | g | d / d d / d W W representing experiment = - 2 Im (f * g) s s P d / d P d / d W W

  17. s (1+P) d / d W pN pN 2 _ _ = | f + i g | F (s, w)

  18. w Barrelet treatment q =p q = 0

  19. s (1+P) d / d W w Barrelet treatment s (1-P) d / d W q =p q = 0

  20. Barrelet treatment F(s,w)) exp(i 2J amplitudes

  21. Barrelet treatment m J, J+1 2J amplitudes = cf. Omelaenko

  22. w Barrelet treatment w 1 . q =p q = 0

  23. w * 1/ Barrelet treatment w w 1 1 . q =p q = 0

  24. ds/dW 1234 MeV p p p p + + - 0 p p p n 1449 MeV 1678 MeV - - p p p p 1900 MeV q q q

  25. P 1234 MeV p p p p + + - 0 p p p n 1449 MeV 1678 MeV - - p p p p 1900 MeV q q q

  26. w p p p p + + 1.45 b 2 2 2 1.1 1.1 c 2 a d 2 1.75 2 2 1.45 SAID EBAC Kamano

  27. threshold behavio(u)r

  28. w p p p p + + b 2 2 1.1 c 1.1 2 a d 2 2 SAID EBAC Kamano

  29. t s p p p p + + u - - p p p p

  30. D (1232) D (1670) s D (1910) p p p p + + d a b c SAID EBAC

  31. F(s,z) exp (i ) L max continuum ambiguity L

  32. PWA 2011 GWU May 2011

  33. END

More Related