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Elucidation of hierarchical structure between quark and hadron phases by means of quark clusters Hiroaki Ohnishi ELPH, Tohoku University


  1. クラスターで読み解く 
 クォーク・ハドロン階層構造 Elucidation of hierarchical structure between quark and hadron phases 
 by means of quark clusters 
 Hiroaki Ohnishi ELPH, Tohoku University 新学術領域「量勵⼦孑クラスターで読み解く物質の階層構造」 
 キックオフシンポジウム 
 2018/11/19-20

  2. Contents 1. Physics goal for this project 2. Project overview 3. Research organization 4. Time line for this project 5. Summary 2 9 pages 7 pages 1 page 1 page

  3. Contents 1. Physics goal for this project 2. Project overview 3. Research organization 4. Time line for this project 5. Summary 3

  4. History of our Universe we are here A02 quark gluon plasma Formation of 
 are generated and leptons 
 quarks・gluons 3~20 min. 10 -6 ~1 s ~10 -6 s t=0s now 
 Li He Deuteron synthesis Nuclear 
 generated Hadrons are Confinement! Big Bang 4 13.8 By

  5. Topics of hadron physics How the matter created via QCD 5 System with 
 Valence quarks Quark confined 
 inside hadron “bare” quark degree of freedom will be 
 masked when hadrons are formed New hierarchy appears i.e. “World of Hadrons” → DoF for this hierarchy is “hadron”

  6. Hadron molecule or Exotic color singlet state QCD 
 meson/baryon config. DoFs quark / di-quark 6 hadron system Hadron-Hadron 
 Hadron Semi-hierarchy what is relevant DoF in the semi-hierarchy quark / di-quark • If Semi-hierarchy exist, then question will be, 


  7. Excitation of hadron and internal structure spectrum in excited hadron 
 will be elucidate DoFs in semi-hierarchy 
 Original picture draw by Dr. T.Hyodo 7 Hadron molecule Multi-quark 
 Normal hadrons Meson-Baryon system Excited 
 state Internal 
 Energy excitation qq pair 
 Ground 
 creation state

  8. Di-quark correlation → di-quark correlation color magnetic interaction could be equal each other three di-quark correlation 
 → i.e. cannot distinguish! 8 is expected two quark correlation out of three constituents 
 • Inside hadron, for example baryons, strong 
 • Source of the di-quark correlation, 
 α s ( λ i · λ j )( ⃗ σ j ) σ i · ⃗ V CMI ∼ m i m j Light baryon: m i =almost equal

  9. The way to clarify effective DOFs inside hadron weak Strong! enhanced (if strong qq correlation exist) i.e. di-quark(qq) correlation inside hadron will be qq cluster appears in baryon 9 interaction(CMI) will be suppressed due to Color magnetic 
 • Embedded heavy quark(HQ) in hadron! • interaction between HQ and light quark(q) 
 α s ( λ i · λ j )( ⃗ σ j ) σ i · ⃗ V CMI ∼ m i m j V CMI ∼ 0 , where m → ∞

  10. ρ p-wave in energy spectrum of excited hadron 
 inside hadron will be separated 
 two-modes in di-quark correlation 
 (one strange/ one charm ) With hyperon and charmed baryons 
 Baryon spectroscopy separated for baryon with one HQ but will be 
 G.S. ρ Di-quark correlation λ λ ρ λ 10 hadron(qqq) existed states, How it will be appeared in hadron spectrum when one of the quark is getting heavy • Two excitation modes are expected in baryon • Those states will be degenerated in light

  11. Baryon with strange quark 11 s q-q • Λ / Σ : q-q + Q system Similar to charmed baryon Q Wide decay width Q-Q • Ξ : q + QQ system 2 Heavy Quark system q Narrow decay width Q Q • Ω : QQQ system 3 Heavy Quark system Narrow decay width Q

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