Femtoscopic Correlations in Heavy Ion Collisions at J-PARC Workshop

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Explore the physics of heavy-ion collisions through Femtoscopic Correlation studies led by Kenji Morita at the 34th Reimei Workshop. Dive into topics like Hadron-Hadron Interaction, Quantum Statistics, and implications for the J-PARC HI project. Discover insights on two-particle correlations, final state interactions, and random emissions in the context of heavy ion collisions.

  • Heavy Ion Collisions
  • Femtoscopic Correlations
  • Kenji Morita
  • J-PARC Workshop
  • Quantum Statistics
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  1. The 34th Reimei WorkShop "Physics of Heavy-Ion Collisions at J-PARC" Kenji Morita Hadron-Hadron Interaction from Femtoscopic Correlation in Heavy Ion Collisions Kenji Morita (YITP, Kyoto) Ref: KM, T.Furumoto, A.Ohnishi, PRC91, 024916 ( 15) A.Ohnishi, KM, K.Miyahara, T.Hyodo, NPA954, 294 ( 16) KM, A.Ohnishi, F.Etminan, T.Hatsuda, 1605.06765 1 2016/8/9

  2. Kenji Morita (YITP, Kyoto) Hadron-Hadron Interaction ? u s s u d d Testing Ground for QCD at Low Energy Baseline for many-body physics Exotic hadrons / finite T, Chiral Symmetry Confinement H-Dibaryon Heavy Ion Collisions N Dibaryon Compact Stars (1405) Hypernuclei 2016/8/9 The 34th Reimei WorkShop "Physics of Heavy-Ion Collisions at J-PARC" 2

  3. Kenji Morita (YITP, Kyoto) Outline 1. Femtoscopic Correlation in HIC Final State Interaction Quantum Statistics (a.k.a. HBT/GGLP effect) 2. Applications : Dibaryon Candidates A) correlation B) p correlation 3. Implications for J-PARC HI 2016/8/9 The 34th Reimei WorkShop "Physics of Heavy-Ion Collisions at J-PARC" 3

  4. Kenji Morita (YITP, Kyoto) Two-Particle Correlation in HIC (Relative Momentum) C N kA No Correlation K Interaction Interference etc N p K kB B Hadronization Hadronization ~5-10 fm/c, ~160MeV time 2016/8/9 4 The 34th Reimei WorkShop "Physics of Heavy-Ion Collisions at J-PARC"

  5. Kenji Morita (YITP, Kyoto) ? ? correlation@STAR Nature 527, 345 ( 15) Attractive FSI =reff Coulomb + HBT (Fermion) = a0 2016/8/9 5 The 34th Reimei WorkShop "Physics of Heavy-Ion Collisions at J-PARC"

  6. Kenji Morita (YITP, Kyoto) Femtoscopic Correlation Random Emission + Final State Int. ?? Single-particle Distribution ?? (# of pair) = integration of (emission probability x weight factor) Random emission : no correlation btw. emission probability of A and B Scattering wave function ( Schr dinger eq.) FSI and symmetrization ~ Equal-time Bethe-Salpeter amplitude in pair rest frame* 2016/8/9 6 The 34th Reimei WorkShop "Physics of Heavy-Ion Collisions at J-PARC"

  7. Kenji Morita (YITP, Kyoto) Final State Interaction ?? Single-particle Distribution ?? For simplicity, spherical and static thermal source is considered. Small Q Low energy scattering S-wave dominant Replacing S-wave component of the wave func. Asymptotic form 2016/8/9 7 The 34th Reimei WorkShop "Physics of Heavy-Ion Collisions at J-PARC"

  8. Kenji Morita (YITP, Kyoto) Correlation & Wave function R=1fm, VI Small R : sensitive to V Large R : determined by Q outside V Lednick -Lyuboshitz formula Large Q : Oscillation washes out the difference VII VIII r2e-r2/4R2(| sc(r)|2-|j0(r)|2) [fm2] 60 R=5fm, VI VII VIII 40 Q=20MeV 20 VI: Weak attraction VII: Stronger attraction (close to unitarity limit 0 VIII: Strong attraction w/ bound state -20 0 2 4 6 8 10 r [fm] 2016/8/9 8 The 34th Reimei WorkShop "Physics of Heavy-Ion Collisions at J-PARC"

  9. Kenji Morita (YITP, Kyoto) Quantum Statistics (HBT/GGLP) Random Emission + Symmetrization ?? Indistinguishable! ?? 2 Symmetric 1.5 R=5 fm ~1/R C(Q) 1 Anti-symmetric 0.5 Q [MeV] 0 0 20 40 60 80 100 120 140 Fourier tr. of the emission func. 2016/8/9 9 The 34th Reimei WorkShop "Physics of Heavy-Ion Collisions at J-PARC"

  10. Kenji Morita (YITP, Kyoto) : Interacting Identical Fermion Wave function 3S1(anti-symmetric) and 1S0(symmetric) Triplet No S-wave scattering Static Source: 2016/8/9 10 The 34th Reimei WorkShop "Physics of Heavy-Ion Collisions at J-PARC"

  11. Kenji Morita (YITP, Kyoto) Effect of Expansion : Suppress emission into other directions than flowing (min. 2w.r.t R) Deforming the emission function - sensitive to the HBT part Diffferent C(Q) btw spherical and boost-invariant expanding sources 2016/8/9 11 The 34th Reimei WorkShop "Physics of Heavy-Ion Collisions at J-PARC"

  12. Kenji Morita (YITP, Kyoto) Feed-Down Contribution Short-lived ( *, N* etc) : absorbed into R + : (partly) subtracted 0 + 0/ =0.278 (p+Be data), / = 0.15 (RHIC) dir/ tot= 0.67 (0.67)2 (0.52 if including ) modification of R R 1/Q - Uncorrelated cannot be resolved Counted 2016/8/9 The 34th Reimei WorkShop "Physics of Heavy-Ion Collisions at J-PARC" 12

  13. Kenji Morita (YITP, Kyoto) Long Tail in Correlation Residual term 2fit in (ares, rres) for each R ares, rresbecome sensitive to interaction for small R 2016/8/9 The 34th Reimei WorkShop "Physics of Heavy-Ion Collisions at J-PARC" 13

  14. Kenji Morita (YITP, Kyoto) Constraint on a0and reff 1/a0< -0.8 [fm-1] No constraint on reff STAR results : C(0) as a fitting parameter Weakly attracting regime 2016/8/9 14 The 34th Reimei WorkShop "Physics of Heavy-Ion Collisions at J-PARC"

  15. Kenji Morita (YITP, Kyoto) p : FSI-induced correlation k V(r) kp Wave function Calculating from V(r) Coupled to (2430) and (2507) 3S1 Absorption of S-wave component 5S2 interaction Taken from Lattice (HAL QCD) 2016/8/9 15 The 34th Reimei WorkShop "Physics of Heavy-Ion Collisions at J-PARC"

  16. Kenji Morita (YITP, Kyoto) N potential (5S2) : motivated by LQCD 100 (a0[fm], reff[fm], EB[MeV]) 0 -100 VI: (-1, 1.15, N/A) VI+Vc: (-1.12, 1.16, N/A) VII: (23.1, 0.95, 0.05) VII+Vc: (5.79, 0.96, 6.3) VIII: (1.6, 0.65, 24.8) VIII+Vc: (1.29, 0.65, 26.9) -200 V(r) [MeV] HAL QCD data -300 Increasing b5 VI VII VIII -400 Fit to data -500 Decreasing b5 -600 -700 Coulomb -800 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 r [fm] ! Caveat : data obtained from heavy quark mass Following calculations use physical mass 2016/8/9 16 The 34th Reimei WorkShop "Physics of Heavy-Ion Collisions at J-PARC"

  17. Kenji Morita (YITP, Kyoto) p Correlation : Ideal case (5S2only) 2.5 5S2only, VI Fairly reflect V(r) VII VIII VII 2 Weakly attractive C(Q) > 1 Close to unitary limit C(Q) >> 1 Bound state C(Q) < 1 VI 1.5 Static Source No Coulomb, Rp=R =2.5fm C(Q) 1 VIII 0.5 C(Q) vs Scattering Length 0 20 40 Q=|mpk -m kp|/M [MeV/c] 60 80 100 120 140 7 Q=20MeV, 5S2only VII 6 Static source No Coulomb Rp=R =2.5fm Q=40MeV, 5S2only 5 Q=60MeV, 5S2only 4 C(Q) 3 VI VIII 2 1 0 -1.5 -1 -0.5 0 0.5 1 1/a0[fm-1] 2016/8/9 17 The 34th Reimei WorkShop "Physics of Heavy-Ion Collisions at J-PARC"

  18. Kenji Morita (YITP, Kyoto) How to disentangle Coulomb / Strong? Coulomb dominated p p Strong int. dominated p p Large R : many pairs are from long-distance - Coulomb-dominated p p p Difference informs about Strong int. Small R : most of pairs are from short-distance - Strong-int. dominated p p p 2016/8/9 18 The 34th Reimei WorkShop "Physics of Heavy-Ion Collisions at J-PARC"

  19. Kenji Morita (YITP, Kyoto) Small-Large Ratio CSL(Q) 2.5 Rp=R =2.5fm, VI Taking ratio of C(Q) for small and large systems VII VIII 2 Rp=R =5fm, VI VII VIII Static Source C(Q) 1.5 5S2+3S1+Coulomb 1 Resemble the ideal case Even with expansion (a) 0.5 VI VII VIII CSL(Q)=C2.5(Q)/C5(Q) 3 VI VII VIII 2 CSL(Q) = C2.5(Q)/C5(Q) 2.5 Static Source 1.5 5S2+3S1+Coulomb 2 Expanding Source 5S2 + 3S1 + Coulomb 1.5 1 1 (b) (a) 0.5 0.5 0 20 40 Q=|mpk -m kp|/M [MeV/c] 60 80 100 120 140 0 20 40 Q=|mpk -m kp|/M [MeV/c] 60 80 100 120 140 2016/8/9 The 34th Reimei WorkShop "Physics of Heavy-Ion Collisions at J-PARC" 19

  20. Kenji Morita (YITP, Kyoto) Implications for J-PARC HI LHC, RHIC : Production of antiparticles, Multi- strangeness 0.35 (x10) (x10) 0.3 0.25 Y/thermal - 0.2 0.15 0.1 0.05 J-PARC : Large / ratio Suitable for , YN, Y- meson ( , possible?) Less feed-down relevant for Production mechanism? GC ensemble? The 34th Reimei WorkShop "Physics of Heavy-Ion Collisions at J-PARC" 0 10 sNN [GeV] 0.9 Thermal + Short-lived Thermal only 0.8 thermal/direct/ total 0.7 0.6 0.5 0.4 0.3 10 sNN [GeV] 2016/8/9 20

  21. Kenji Morita (YITP, Kyoto) Summary / Implications for J-PARC HI Femtoscopic Correlation : Space-time extent and Hadron-Hadron FSI Constraining Dynamical Modeling Different system (Centrality / Colliding nuclei) may strengthen resolving power Too large system : not suitable to see FSI Identical pairs more sensitive to dynamics Feed-down correction crucial Statistics for Low Q pair? 2016/8/9 The 34th Reimei WorkShop "Physics of Heavy-Ion Collisions at J-PARC" 21

  22. Kenji Morita (YITP, Kyoto) Backup 2016/8/9 22 The 34th Reimei WorkShop "Physics of Heavy-Ion Collisions at J-PARC"

  23. Kenji Morita (YITP, Kyoto) Heavy Ion Collisions as Hyperon Factory 107events Pb+Pb 2.76ATeV@LHC QGP : u,d,s Deconfined Chirally symmetric (60-80%) (0-5%) N Enhanced pair creation of s-quarks K N p K Hadronization Hadronization ~5-10 fm/c, ~160MeV time 2016/8/9 23 The 34th Reimei WorkShop "Physics of Heavy-Ion Collisions at J-PARC"

  24. Kenji Morita (YITP, Kyoto) Role of Interaction H (Jaffe 77) B=2, S=-2, JP=0+, I=0 (2386) (2231) (2259) would be bound state if strong attraction btw No quark Pauli blocking Lattice QCD (HAL QCD, NPLQCD) Bound H in SU(3)flimit Physical point : ongoing Deep H ruled out by double hypernuclei 2016/8/9 The 34th Reimei WorkShop "Physics of Heavy-Ion Collisions at J-PARC" 24

  25. Kenji Morita (YITP, Kyoto) Examined int. Fit to double hypernuclei 2016/8/9 25

  26. Kenji Morita (YITP, Kyoto) Examined int. 2016/8/9 26

  27. Kenji Morita (YITP, Kyoto) Long Tail in C(Q) 0 decay : apparent reduction of C(0) Free C(0) Fit yields anomalously small size Expansion / FSI cannot account for the long-tail 2016/8/9 The 34th Reimei WorkShop "Physics of Heavy-Ion Collisions at J-PARC" 27

  28. Kenji Morita (YITP, Kyoto) N Interaction N Dibaryon? (Goldman et al., 87) B=2, S=-3, JP=2+, I=1/2 J=2 might be quasi-stable u s u s d s 8f,10f-10f: 8f-8f: D-wave decay will be suppressed N bound state if strong attraction exits No quark Pauli blocking Lattice QCD (HAL QCD) Bound state for m =875, mK=916MeV Physical point : ongoing Experiment: p 2016/8/9 The 34th Reimei WorkShop "Physics of Heavy-Ion Collisions at J-PARC" 28

  29. Kenji Morita (YITP, Kyoto) N potential (5S2) : motivated by LQCD 100 (a0[fm], reff[fm], EB[MeV]) 0 -100 VI: (-1, 1.15, N/A) VI+Vc: (-1.12, 1.16, N/A) VII: (23.1, 0.95, 0.05) VII+Vc: (5.79, 0.96, 6.3) VIII: (1.6, 0.65, 24.8) VIII+Vc: (1.29, 0.65, 26.9) -200 V(r) [MeV] HAL QCD data -300 Increasing b5 VI VII VIII -400 Fit to data -500 Decreasing b5 -600 -700 Coulomb -800 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 r [fm] ! Caveat : data obtained from heavy quark mass Following calculations use physical mass 2016/8/9 29 The 34th Reimei WorkShop "Physics of Heavy-Ion Collisions at J-PARC"

  30. Kenji Morita (YITP, Kyoto) 3S1Absorption k V(r) 2.5 5S2only, VI VII VIII VI 2 5S2+3S1, VI kp VII VIII VII C(Q) 1.5 Static Source No Coulomb, Rp=R =2.5fm 1 VIII 0.5 (a) Wave function 0 40 Q=|mpk -m kp|/M [MeV/c] Q=20MeV, 5S2only 5S2+3S1 Q=40MeV, 5S2only 5S2+3S1 Q=60MeV, 5S2only 5S2+3S1 20 60 80 100 120 140 7 (b) VII 6 Static source No Coulomb Rp=R =2.5fm 5 1 Real part 4 C(Q) Imaginary part 0.8 3 VI 0.6 VIII 0.4 2 abs(r) 0.2 1 0 0 -0.2 -1.5 -1 -0.5 0 0.5 1 r0=2fm -0.4 1/a0[fm-1] r [fm] 0 5 10 15 20 2016/8/9 30 The 34th Reimei WorkShop "Physics of Heavy-Ion Collisions at J-PARC"

  31. Kenji Morita (YITP, Kyoto) Expanding System (Zhu et al., Takeuchi et al., 15) 1-dim Boost-invariant expansion LHC Pb+Pb 2.76AGeV Central : p= 20 fm/c, = 10 fm/c Tp= 120 MeV, T = 164 MeV Rp= R = 5fm kt= 1.25 GeV ( = <kt>) Peripheral : p= 3 fm/c, = 2 fm/c Tp= T = 164 MeV Rp= R = 2.5fm kt= 1 GeV (= <kt>) 2016/8/9 31 The 34th Reimei WorkShop "Physics of Heavy-Ion Collisions at J-PARC"

  32. Kenji Morita (YITP, Kyoto) Coulomb Interaction 2.5 Rp=R =2.5fm, VI =45fm VII VIII 2 Rp=R =5fm, VI VII VIII Static Source C(Q) 1.5 5S2+3S1+Coulomb 1 (a) 0.5 1 0.8 C(Q)/Ac 0.6 Rp=R =2.5fm, VI 0.4 Static Source VII VIII 5S2+3S1+Coulomb Gamow corrected Rp=R =5fm, VI 0.2 VII VIII (b) 0 20 40 Q=|mpk -m kp|/M [MeV/c] 60 80 100 120 140 Coulomb int. dominates C(Q) near Q 0 2016/8/9 32 The 34th Reimei WorkShop "Physics of Heavy-Ion Collisions at J-PARC"

  33. Kenji Morita (YITP, Kyoto) Expanding System : no difference 3 VI VII VIII CSL(Q) = C2.5(Q)/C5(Q) 1-dim Boost-invariant expansion 2.5 2 Expanding Source 5S2 + 3S1 + Coulomb 1.5 1 (a) 0.5 0 20 40 Q=|mpk -m kp|/M [MeV/c] 60 80 100 120 140 7 Q=20MeV 40MeV 60MeV (b) 6 CSL(Q)=C2.5(Q)/C5(Q) LHC Pb+Pb 2.76AGeV Central : p= 20 fm/c, = 10 fm/c Tp= 120 MeV, T = 164 MeV Rp= R = 5fm kt= 1.25 GeV ( = <kt>) Peripheral : p= 3 fm/c, = 2 fm/c Tp= T = 164 MeV Rp= R = 2.5fm kt= 1 GeV (= <kt>) Expanding source 5 VII 5S2+3S1+Coulomb 4 VI 3 VIII 2 1 0 -1.5 -1 -0.5 0 0.5 1 1/a0 [fm-1] 2016/8/9 33 The 34th Reimei WorkShop "Physics of Heavy-Ion Collisions at J-PARC"

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