1 / 34

Barrelet zeros

Barrelet zeros. PWA 2011 GWU May 2011. hadron states. 1. M 2 – s – iM . x. variables: E =  s , . spinless particle scattering. cm. Spin analysis. M. 1. q. M. 2. Spectroscopy: interplay of poles & zeros. pp pp. t. u. r. f. 2. s. r. 3. u. s. t. 2. f m. p.

reese-fletcher
Download Presentation

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