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Distinguishing Molecules and Light Meson Spectrum Experiment

Can an experiment distinguish between molecular configurations? Explore the negative and positive parity of light mesons and their JPC quantum numbers in the hadroproduction process. Understanding the meson spectrum and vector decays is crucial for detecting states and resonances. Analyze the shifting of masses in the vector multiplet and explore Breit-Wigner resonance states. Discover the complexities of scalar mesons and diquarks in the study of hadron states.

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Distinguishing Molecules and Light Meson Spectrum Experiment

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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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