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distinguishing molecules

INT 15-60W November 2015. distinguishing molecules. Michael Pennington Jefferson Lab. q. q. q. q. q. 1. q ( i D - m ) q. - F F. =. q. 4. Q C D. q=u,d,s, c,b,t. q. q. g. g. q. q. q. q. q. q. q. g. g. q. q. q. q. q. q. q. q. q. q.

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distinguishing molecules

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  1. INT 15-60W November 2015 distinguishing molecules Michael Pennington Jefferson Lab

  2. q q q q q 1 q ( i D - m ) q - F F = q 4 QCD q=u,d,s, c,b,t

  3. q q g g

  4. q q q q q q q g g

  5. q q q q q q q q q q q g g

  6. q q q q q q q q q q q q g q g

  7. q q q q q q q q q q q g g Can experiment distinguish between these configurations ?

  8. q q q du c uc

  9. K1B f2 ` ‘ f0 K0* K2* K1A h1 f0 j r a2 f2 a0 f0 f1 h3 a1 b1 w

  10. Light Meson Spectrum negative parity ` h isoscalar isovector 0-+1-- 2-+ 3-- 0++ 1++ 1+- 2++ 4++ positiveparity 2.5 2.0 1.5 Mass (GeV) j 1.0 w r h 0.5 p 0 JPC

  11. Light Meson Spectrum negative parity ` h isoscalar isovector 0-+1-- 2-+ 3-- 0++ 1++ 1+- 2++ 4++ positiveparity 2.5 2.0 1.5 Mass (GeV) j 1.0 w r h 0.5 p 0 JPC

  12. Meson spectrum 3-- 2++ 4++ 2-- 1++ 3++ 1-- 2++ 0++ 2-+ 1+- 3+- L=3 1-- 0-+ L=2 L=1 s1 s2 q S = 0, 1 L=0 L q JPC radial

  13. Meson spectrum K*0 K0 K*+ K+  f 1-- r+ + - r- 0-+  w r0 0 K*- K- K*0 K0 s1 s2 q S = 0, 1 L q 0-+ 1-- L=0

  14. Vector decays p 3 p 2 energy 0 j K* w r p K

  15. Vector decays p 3 p 2 f KK K* w r p K energy 0

  16. Vector multiplet - - PC J = 1 s1 s2 q L S = 1, L = 0 q ds us ss ud du uu ± dd su sd

  17. shifting of masses shifting of masses Vector multiplet Vector multiplet Vector multiplet     +   KK   s 

  18. shifting of masses Vector multiplet     +   KK  s  

  19. analyticity & complex energy plane resonance pole E Im E Re E

  20. Hadroproduction R M(K) GeV M1 g p M2 exchange N B

  21. Hadroproduction M1 g p M2 exchange N B

  22. Hadroproduction M1 g p M2 exchange N B

  23. Hadroproduction M1 g p M2 exchange N B

  24. Hadroproduction M1 g p M2 exchange N B

  25. Hadroproduction M1 g p M2 exchange N B

  26. Hadroproduction M1 g p M2 exchange N B

  27. Hadroproduction M1 g p M2 exchange N B

  28. Hadroproduction M1 g p M2 exchange N B

  29. Hadroproduction M1 g p M2 exchange N B

  30. + - (770)

  31. Dynamically generated states

  32. Meson spectrum 3-- 2++ 4++ 2-- 1++ 3++ 1-- 2++ 0++ 2-+ 1+- 3+- L=3 1-- 0-+ L=2 L=1 s1 s2 q S = 0, 1 L=0 L q 0++ radial

  33. Scalar mesons f (500) 0

  34. Scalar mesons

  35. Scalar mesons 1 1 GeV

  36. Scalar mesons

  37. Scalar multiplet s1 s2 q L q { 1 GeV k S = 1, L = 1

  38. Scalar mesons I = J = 0 pp pp f (500) 1 1 0   0 0 0.4 0.4 0.8 0.8 1.2 1.2 1.6 1.6 M ()(GeV) M ()(GeV)

  39. Hadron States Breit-Wigner 1 M2 – s - iMG E E x s = E2

  40. p p p p M(pp) GeV r F(s,J) = 3 f1(s) cosJ s = M2 (pp) -1 0 cos J 1

  41. Breit-Wigner 1 merely an approximation valid in the region of the pole M2 – s - iMG 1 M2 (s) – s x s = E2

  42. Scalar mesons I = J = 0 pp pp f (500) 1 1 0   0 0 0.4 0.4 0.8 0.8 1.2 1.2 1.6 1.6 M ()(GeV) M ()(GeV)

  43. Into the complex plane E Im E Re E ER= 441 -i 272 MeV Caprini, Colangelo, & Leutwyler

  44.  , KK f0 (980) 1  0 0.4 0.8 1.2 1.6 M ()(GeV) CERN-Munich, ANL, BNL

  45.  , KK f0 (980) 1  0 0.4 0.8 1.2 1.6 M ()(GeV) J/ (, KK) f0 (980) CERN-Munich, ANL, BNL BES

  46. J/ (, KK)  , KK f0 (980) 1  0 0.4 0.8 1.2 1.6 M ()(GeV) BES f0 (980) CERN-Munich, ANL, BNL

  47. Scalar multiplet s1 s2 q L q { 1 GeV k S = 1, L = 1

  48. diquarks: color tetraquark Jaffe & Wilczek Scalar diquarks [ud][us][ds] [cd][cu][cs]

  49. Scalar meson multiplets qq qqqq   n = u,d Jaffe

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