Do present models imply measurable (anti-)fragment production in central Au+Au at RHIC? How well can STAR measure (anti-)fragments?
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1 Fragments and Antifragments in STAR Fragments are more sensitive to flow than particles. effects due to baryonic mean fields? Mattiello et al., PRC 55, 443 (997 Relationships between net baryon density and d/d. Rich information on nucleon sources at freeze-out (FO) via coalescence analyses. At RHIC: -T>>B I -meson dominated, and net baryon-poor systems -non-spherical FO geometries? shape of nucleon FO surface complementary to interferometry comparison of nucleon and antinucleon FO volumes isotopic resolution & P T dependence Temperatures, times complementary to spectra and interferometry effects on fragment rates from plasma formation? QGP FO later FO volume larger fewer d s? what happens to d/d?!? FO volumes for pions via scaling vs. dn chgd /dy or dn π /dy with matched models v T profiles, ρ profiles,... Do present models imply measurable (anti-)fragment production in central Au+Au at RHIC? How well can STAR measure (anti-)fragments?
2 Coalescence: EMPIRICAL, THERMODYNAMIC, DENSITY MATRIX, WIGNER, DYNAMIC For extraction of source information from measured nucleon and fragment distributions, only last two approaches apply at RHIC. WIGNER APPROACH: DYNAMIC APPROACH: Mattiello et al., PRL 74, 280 (995) Nagle et al., PRC 53, 367 (996) Llope et al., PRC 52, 2004 (995) Kahana et al., PRC 54, 338 (996) For predicting fragment production rates in the absence of data, only avenue is dynamic coalescence. Dynamic Coalescence: don t approximate phase space density; take it from a model. stop the model at time step for which: MAX(E strong i,j )<2 MeV for each particle in the event, the model gives time, position, and momenta at last strong interaction for each particle. for every n-p pair per event (or n- p pair...) propagate to common time calculate X and P in the 2 particle CM if RAN() < Prob( X, P) formed a d save composite time, position, momentum remove this p and n from the event. Cut-off Prob( X, P): Harmonic Oscillator Hulthen Wave Function
3 Deuterons Counts/evt/bin 2 DEUTERONS, Au+Au, 0 GeV/N/beam, b<2 fm, RQMD 2.4, wigner coalescence all P T y=0.2 Counts/evt/2πP T /bin 3 2 P T =0. GeV/c y < y P T ~0. deuterons per central event per unit rapidity at mid-rapidity STAR collects >26k deuterons per RHIC day
4 Anti-Deuterons Counts/evt/bin 2 ANTIDEUTERONS, Au+Au, 0 GeV/N/beam, b<2 fm, RQMD 2.4, wigner coalescence all P T y=0.2 Counts/evt/2πP T /bin 3 2 P T =0. GeV/c y < y P T ~0.02 antideuterons per central event per unit rapidity at mid-rapidity d/ d ~ 5 at mid-rapidity
5 Nucleon Freeze-out Radii via coalescence arguments 5 ( 2 ρc 2 2 )3/2 3/2 (2S c +) (d 3 N /d 3 p a )(d 3 /d 3 p b ) R a N + = π b (2S a +)(2S b +) (d 3 N /d 3 c p c ) where e (B B B )/T c a b (d N/d p) is an invariant cross section ( e.g. d N/2 π// / y or d N/ m/ β / β/ Ω) The cross - sections are evaluated at the same velocity... Spins are Sa, Sb, and Sc, Binding energies are Ba, Bb, and Bc Temperature is T, Fragment finite size correction is ρ Gaussian radius Rin fm , S. Pratt et al. Phys. Rev. C 52, 2004 (995). R (fm) deuterons, y <0.2 d_rqmd24_bmine_265ev.hst Cutoff 30 Actual FCM Harmonic Hulthen 20 0 R (fm) antideuterons, y <0.2 dbar_rqmd24_bmine_265ev.hst Cutoff 30 Actual FCM Harmonic Hulthen 20 0
6 Triton prediction using coalescence arguments σ inv σ inv p n d t (R=5fm) t (R=25fm) p _ n _ d t _ (R=5fm) t (R=25fm) n + d t R G 3 N n N d /N t N n from RQMD N d from dynamic coalescence Assume R G Calculate N t a p + d 3 He prediction is also possible in the same way p/d ~ 370 d/t > 50 pbar/dbar ~ 840 dbar/tbar > 2400 d/dbar ~ 5 t/tbar ~ (Au+Au, 0 GeV/N/beam, b<2fm, RQMD)
7 Fragment measurements in STAR Track de/dx versus momentum from the TPC Dynamic range of de/dx ADCs introduces low-momentum cutoff Normal runs deuteron P T > ~0.4 GeV/c don t overflow triton P T > ~0.56 GeV/c Special runs reduce gas gain and magnetic field Significant evaporation backgrounds in x+be d + X ~0.2 d/central event (Preliminary) after some cuts Presently studying d.c.a. and P T dependences Antideuteron sample necessarily purer Larger corrections/backgrounds for particle spectra and ratios than for antiparticle spectra and ratios
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