Brookhaven National Laboratory Overview of Resonance Production P. Fachini Brookhaven National Laboratory 4/21/2019 Patricia Fachini
Motivation Measured Resonances Masses and Widths Spectra and Yields Ratios Outlook 4/21/2019 Patricia Fachini
Motivation 4/21/2019 Patricia Fachini
Motivation - I Medium modification of mass and/or width Chiral Symmetry Restoration, Collision Broadening and/or Phase Space? ρ0 leptonic decay channel probes all stages of the collision R. Rapp and J. Wambach, Adv. Nucl. Phys. 25, 1 (2000); G. E. Brown and M. Rho, Phys. Rev. Let. 66 2720 (1991); P. Braun-Munzinger, GSI Internal Report ρ0 + - π- π+ ρ0 π- π+ ρ0 c = 1.3 fm ρ0 hadronic decay channel probes late stages of the collision 4/21/2019 Patricia Fachini
Motivation - II Φ information early stages of the collision Φ modification mass shape and width Φ different production for hadronic and leptonic channels Nucleon-nucleon collisions η, ω and ρ0 at high pT perturbative QCD A+A collisions η, ω and ρ0 at high pT nuclear effects can modify particle production Δ++ mass and width modification in medium K* time between chemical and kinetic freeze-out Φ c = 44 fm S. Pal et al., Nucl.Phys. A707 (2002) 525-539 RHIC Δ++ Hees and Rapp Hot Quarks04 Hees and Rapp, HotQuarks04 4/21/2019 Patricia Fachini
Motivation - III If resonance decays before kinetic freeze-out not reconstructed due to rescattering of daughters K*0 (c = 4 fm) survival probability time between chemical and kinetic freeze-out, source size and pT of K*0 Chemical freeze-out elastic interactions πK K*0 πK regenerate K*0(892) until kinetic freeze-out K*0/K may reveal time between chemical and kinetic freeze-out K* measured π K K* K* lost π K K* π K* K K* measured Chemical freeze-out Kinetic freeze-out 4/21/2019 Patricia Fachini
Measured Resonances 4/21/2019 Patricia Fachini
Resonance Production Life Time ρ0(770) π+ π- B.R. ~1 c = 1.3 fm Δ++(1232) p π+ B.R. ~1 c = 1.6 fm K*(892) π K B.R. ~1 c = 4 fm Σ(1385) Λ π B.R. 0.88 c = 5.5 fm Λ(1520) p K B.R. 0.45 c = 12.6 fm Ξ(1530) Ξ π B.R. ~1 c = 21 fm ω(782) π+ π- π0 B.R. 0.89 c = 23 fm ω(782) π0 B.R. 0.089 c = 23 fm Φ(1020) K+ K- B.R. 0.49 c = 44 fm Φ(1020) e+e- B.R. 0.000296 c = 44 fm η(547) π+ π- π0 B.R. 0.23 c = 167225 fm Life Time 4/21/2019 Patricia Fachini
Δ++(1232) p π+ B.R. ~1 c = 1.6 fm √sNN = 200 GeV √sNN = 200 GeV STAR Preliminary STAR Preliminary √sNN = 200 GeV √sNN = 200 GeV 4/21/2019 Patricia Fachini
K*(892) π K B.R. ~1 c = 4 fm √sNN = 200 GeV √sNN = 200 GeV STAR Preliminary STAR Preliminary √sNN = 200 GeV √sNN = 200 GeV √sNN = 62 GeV STAR Preliminary 4/21/2019 Patricia Fachini
Σ(1385) Λ π B.R. 0.88 c = 5.5 fm Λ(1520) p K B.R. 0.45 c = 12.6 fm Ξ(1530) Ξ π B.R. ~1 c = 21 fm Ξ* STAR Preliminary Au+Au √sNN = 200 GeV √sNN = 200 GeV STAR Preliminary Λ* Minimum Bias d+Au STAR Preliminary 4/21/2019 Patricia Fachini
ω(782) π+ π- π0 B.R. 0.89 c = 23 fm ω(782) π0 B.R. 0.089 c = 23 fm η(547) π+ π- π0 B.R. 0.23 c = 167225 fm p+p Au+Au PHENIX η,ω π+ π- π0 p+p ω π0 ω π0 PHENIX √sNN = 200 GeV PHENIX 4/21/2019 Patricia Fachini
Φ(1020) K+ K- B.R. 0.49 c = 44 fm Φ(1020) e+e- B.R. 0.000296 c = 44 fm d+Au PHENIX Φ K+ K- STAR Preliminary √sNN = 200 GeV Au+Au PHENIX Φ e+e- √sNN = 200 GeV 4/21/2019 Patricia Fachini
Sub-Threshold Measurements K(892) (< 800 MeV) Σ(1385) (< 400 MeV) Σ*± + ± K*0 K+ + - Al+Al 1.9 AGeV FOPI Al+Al 1.9 AGeV FOPI 4/21/2019 Patricia Fachini
π+π- Invariant Mass Distribution from Monte Carlo HIJING events with a realistic simulation of detector response K0S π+ π- K0S STAR Preliminary ω(782) (π+ π-) π0 and π+ π- ω sNN = 200 GeV ρ0(770) π+ π- η (π+ π-) π0 and (π+ π-) η’ (π+ π-) η and (π+ π-) ρ0 η + η’ K*(892)0 K π with K misidentified as π K*0 + K*0 misidentified ρ0 Use ω and K*0 shape from HIJING to fit the data K*0 signal is fixed using STAR measurement 4/21/2019 Patricia Fachini
ρ0(770) π+ π- B.R. ~1 c = 1.3 fm 40-100% dAu STAR Preliminary STAR Preliminary 40-100% dAu 0.6 ≤ pT < 0.8 GeV/c 20-40% dAu 0.6 ≤ pT < 0.8 GeV/c √sNN = 200 GeV √sNN = 200 GeV STAR Preliminary STAR Preliminary 40-80% Au+Au 0.6 ≤ pT < 0.8 GeV/c 0-20% dAu 0.6 ≤ pT < 0.8 GeV/c √sNN = 62 GeV √sNN = 200 GeV 4/21/2019 Patricia Fachini
Masses and Widths 4/21/2019 Patricia Fachini
K* Mass and Width STAR Preliminary MC K*0 pT < 1 GeV mass shift of ~10 MeV observed K*± and K*0 pT > 1 GeV mass agrees with PDG for all systems within errors Width agrees with PDG for all systems within errors Systematic error shown for minimum bias d+Au 200 GeV PDG K*0 PDG K*± PDG STAR Preliminary 4/21/2019 Patricia Fachini
Δ++ Mass and Width PDG Δ++ mass shift observed in both minimum bias p+p and d+Au at √sNN = 200 GeV Width agrees with PDG for both systems within errors PDG 4/21/2019 Patricia Fachini
ω Mass No mass shift observed in both minimum bias p+p and d+Au at √sNN = 200 GeV Statistical error shown PDG fit PDG fit 4/21/2019 Patricia Fachini
ρ0 Mass Mass shift observed for all systems STAR Preliminary Mass shift observed for all systems Towards the vacuum value at high pT? Systematic errors shown for Minimum Bias d+Au 200 GeV 4/21/2019 Patricia Fachini
ρ0 Hadronic channel STAR (RHIC) Probing late of the collisions Mass shift ~70 MeV 4/21/2019 Patricia Fachini
ρ0 Dimuons channel NA60 (SPS) Hees and Rapp, hep-ph/0603084 Probing all stages of the collisions Mass broadening 4/21/2019 Patricia Fachini
Mass Shift in A+A Hees and Rapp, hep-ph/0603084 SPS RHIC STAR ~70 MeV mass shift measured by STAR in peripheral Au+Au collisions and no apparent broadening Broadening measured by NA60 in central In-In collisions and no mass shift Are these measurements in agreement? RHIC di-lepton measurements! 4/21/2019 Patricia Fachini
ρ0 Mass at High-PT 4/21/2019 Patricia Fachini
ρ0 Mass at High pT η production fixed according to PHENIX data K0s production fixed according to STAR data ρ0 mass = 775.9 MeV fixed ρ0 width = 160 MeV fixed f0 mass = 980 MeV fixed f0 width = 100 MeV fixed f2 mass = 1275 MeV fixed f2 width = 185 MeV fixed In p+p ω and ρ0 production are assumed to be the same 4/21/2019 Patricia Fachini
ρ0 Mass at High pT STAR Preliminary Background STAR Preliminary p+p 200GeV Central Au+Au 200GeV STAR Preliminary ρ0 mass at high pT pure relativistic BW function ρ0 mass at high pT equivalent measurement e+e- Mass shift observed at low pT is not a detector effect! Phys. Rev. Lett. 92 (2004) 092301 Minimum Bias Au+Au 200GeV 4/21/2019 Patricia Fachini
Masses and Widths No mass or width modification of η, ω, Φ, Λ*, Σ* or Ξ* Mass shift observed for K*, Δ++ and ρ0 at low-pT possible explanations π+ π- rescattering in p+p collisions Medium modifications Bose-Einstein correlations ρ0 at high-pT No apparent mass shift! P. Fachini et.al., J.Phys.G33:431-440,2007 R. Rapp, Nucl.Phys. A725, 254 (2003), E.V. Shuryak and G.E. Brown, Nucl. Phys. A 717 (2003) 322 G.D. Lafferty, Z. Phys. C 60, 659 (1993); R. Rapp, Nucl.Phys. A725 (2003) 254-268 S. Pratt et al., Phys.Rev. C68 (2003) 064905 4/21/2019 Patricia Fachini
Spectra 4/21/2019 Patricia Fachini
Spectra-I STAR Preliminary STAR Preliminary 4/21/2019 Patricia Fachini
Spectra-II K*0 Au+Au √sNN = 62 GeV √sNN = 200 GeV 4/21/2019 STAR Preliminary STAR Preliminary √sNN = 200 GeV 4/21/2019 Patricia Fachini
Spectra-III Φ K+ K- 4/21/2019 Patricia Fachini STAR Preliminary
Spectra-IV Au+Au 62 GeV 4/21/2019 Patricia Fachini
Φ Production K+K- and e+e- The leptonic channel yield is a little higher than hadronic channel More accurate measurement is required to confirm whether there is branch ratio modification 4/21/2019 Patricia Fachini
Φ Production K+K- J. Rafelski et al.,Phys.Rev. C72 (2005) 024905 STAR Φ production there is a factor of ~2 difference between PHENIX and STAR! BRAHMS measurement agrees with STAR at midrapidity PHENIX STAR + PHENIX √sNN = 200 GeV 4/21/2019 Patricia Fachini
Ratios 4/21/2019 Patricia Fachini
Φ Ratios Φ/K- independent of centrality STAR Preliminary Φ/K- independent of centrality UrQMD does not reproduce data kaon coalescence not the main production mechanism for Φ! Φ/K- reproduced by thermal models no rescattering (or regeneration) due to c = 44 fm 4/21/2019 Patricia Fachini
Resonance to stable particle ratios √sNN = 200 GeV c = 1.3 fm c = 4 fm c = 1.6 fm c = 12.6 fm c = 5.5 fm STAR Preliminary ρ0, Δ++ and Σ* ratios independent of centrality or system size K* and Λ* suppression compared to p+p collisions 4/21/2019 Patricia Fachini
Time between freeze-outs If rescattering is the dominant process, And the time between chemical and kinetic freeze-out should be Δt = 2 ± 1 fm If no regeneration is present Δt = 2 ± 1 fm Blast-Wave fit to π±, K±, p, and p Δt > 6 fm N(Δt) = N0 e c t - e = c Δt - K*0 K- Au+Au p+p = 0.23 0.35 4/21/2019 Patricia Fachini
K* Ratios STAR Preliminary Statistical errors only K*/K- ratio in central collisions at 62 GeV and 200 GeV are comparable same time between chemical and kinetic freeze-outs 4/21/2019 Patricia Fachini
η, ω and ρ0 Ratios η STAR Preliminary ω/π0 ratio constant for pT > 2 GeV lower than PYTHIA ω/π0 = 1.0 ρ0/π- ratio constant for 5 < pT < 10 GeV lower than PYTHIA η/π0 ratio comparable to PYTHIA ω/π0 and ρ0/π- measured comparable √sNN = 200 GeV ρ0 π+ π- 4/21/2019 Patricia Fachini
Ratios Φ/K- independent and constant for all collision systems kaon coalescence not the main production mechanism for Φ! Φ/K- reproduced by thermal models no rescattering (or regeneration) due to c = 44 fm ρ0, Δ++ and Σ* ratios independent of centrality K* and Λ* suppression compared to p+p collisions K*/K- ratio in central collisions at 62 GeV and 200 GeV are comparable same time between chemical and kinetic freeze-outs ρ0/π- ratio constant for 5 < pT < 10 GeV lower than PYTHIA ω/π0 and ρ0/π0 measured comparable 4/21/2019 Patricia Fachini
Outlook What’s next? We need: Systematic study of K*0 and Δ++ mass and width in Au+Au (RUN4) ρ0 in central Au+Au overwhelming combinatory background ρ0 in central Cu+Cu doable… Λ(1520), Σ(1385), Ξ(1530)… Other higher state resonances… High-pT and v2 measurements of resonances a1 γ π± e+e- π± Leptonic Channel Φ, ρ Comparison between leptonic and hadronic channels in A+A!!! Requires Large statistics RHIC Upgrades Low mass dileptons PHENIX (HBD) and STAR (TOF) TOF full coverage STAR 4/21/2019 Patricia Fachini
Backup Slides 4/21/2019 Patricia Fachini
Φ Mass and Width STAR Preliminary pT > 1 GeV mass and width agree with MC and PDG for all systems pT < 1 GeV mass agrees with MC for all systems within errors pT < 1 GeV width higher than MC for all systems real physics or detector effect? No significant mass or width modification observed PDG STAR Preliminary PDG 4/21/2019 Patricia Fachini
Elliptic Flow - I KS0 and Λ v2 scale number constituent quarks v2/n Resonance v2 πK K* n = 4 qq K* n = 2 Significant K*0 v2 measured Fitting K*0 v2 to a, b, c, and d constants extracted using KS0 and Λ v2 K*0 v2 n= 2.0 ± 0.3 C. Nonaka et al., Phys.Rev. C69 (2004) 031902 X. Dong et al., Phys.Lett. B597 (2004) 328 v2(pT,n) = - dn 1 + exp[-(pT/n – b)/c] an Minimum Bias Au+Au 200GeV STAR Preliminary 4/21/2019 Patricia Fachini
Elliptic Flow - II Significant Φ v2 measured v2 increases with decreasing centrality Φ not produced via kaon coalescence Φ information from early stages non-zero Φ v2 s-quarks flow Partonic collectivity Intermediate pT Φ v2 consistent with KS0 than Λ favors NCQ=2 Recombination/ Coalescence models Φ v2 n= 2.3 ± 0.4 Au+Au 200GeV 4/21/2019 Patricia Fachini
Elliptic Flow s-quarks flow as u- and d-quarks Φ not produced via kaon coalescence and do not participate strongly in hadronic interactions evidence for partonic collectivity! Φ and K* intermediate pT formed via quark-quark coalescence 4/21/2019 Patricia Fachini
Nuclear Modification Factor K*(892) and Φ mesons K*(892) and Φ mass closer to Λ mass K* and Φ RCP intermediate pT closer to KS0 than Λ evidence for baryon/meson effect favors parton recombination 4/21/2019 Patricia Fachini
Φ Ratios Chemical freeze-out Chemical = Kinetic freeze-out STAR Φ/K- ratio reproduced by thermal model Φ has long lifetime! not affected by rescattering (or regeneration) 4/21/2019 Patricia Fachini
K* Ratios STAR Chemical freeze-out Kinetic freeze-out Chemical = Kinetic freeze-out K*/K- p+p ratio reproduced by thermal model at chemical freeze-out Au+Au reproduced by thermal model at kinetic freeze-out 4/21/2019 Patricia Fachini
Previous Measurements? ρ0 No detailed mass measurements Mass integrated in pT, xF, xp STAR measurement ρ0 mass shifted ~40 MeV in minimum bias p+p Considerably large mass shift Mass shift observed before! Previous ρ0 mass measurements NA27, OPAL, DELPHI, and ALEPH NOTE: Previous experiments interested in cross-sections and NOT in mass! 4/21/2019 Patricia Fachini
ρ0-meson Measured in p+p NA27 √s = 27.5 GeV The ρ0 mass obtained by fitting same event distribution of π+π- to BG + PS x BW = BG + BGxBW = BG(1 + BW) BW = Breit-Wigner BG = Background PS = Phase Space π+π- pT > 0 xF > 0 PS = BG xF = pLongitudinal pTotal Signal Signal π+π- distribution after background subtraction Background exponential function Signal Same event distribution π+π- 4/21/2019 Patricia Fachini
ρ0-meson Measured in p+p NA27 CERN √s = 27.5 GeV ρ0 mass = 762.6 ± 2.6 MeV/c2 only p+p measurement used in average by PDG PDG average “other reactions” hadroproduced ρ0 mass = 769.0 ± 0.9 MeV/c2 PDG average e+e- (exclusive) ρ mass = 775.9 ± 0.5 MeV/c2 The position of the ρ0 peak is clearly below reported value 762.6 MeV/c2 775.9 MeV/c2 “scanned version” 4/21/2019 Patricia Fachini
ρ0-meson Measured in p+p NA27 BW(M) = Γ(M) (M2 – Mρ2)2 + Mρ2 Γ(M)2 Γ(M) = Γρ M2 – 4mπ2 Mρ2 – 4mπ2 3 2 Mρ M Fitting to a p-wave BW function M = 747.6 ± 2.0 MeV 4/21/2019 Patricia Fachini
ρ0-meson Measured in e+e- LEP √s = 90 GeV OPAL ρ0 mass shifted by ~70 MeV/c2 at low xp and no shift at high xp (xp ~1) OPAL -10 to -30 MeV/c2 shift in the position of the maximum of the resonance ρ± consistent with ρ0 measurement DELPHI 0.1 < xp < 0.4 ρ0 peak fit to (BWxBG) + BG ρ0 mass = 757 ± 2 MeV/c2 five standard deviations below PDG value ALEPH same ρ0 mass shift observed by OPAL Jetset 7.3 + ALEPH Data xp = E(meson) E(beam) ρ0 Jetset 7.2 ● OPAL Data ρ0 4/21/2019 Patricia Fachini
Phase Space - M2 + pT2 M e T Phase Space = M2 + pT2 π+ ρ0 π- M = Invariant Mass; pT = transverse momentum; T = Inverse Slope pp particle composition reasonably reproduced by statistical model T = 160 MeV also dAu F. Becattini, Nucl. Phys. A 702, 336 (2002); Z. Phys. C 69, 485 (1996); F. Becattini and U. Heinz, Z. Phys. C 76, 269 (1997) Au+Au between chemical and kinetic freeze-out resonances formed until particles too far apart resonances emitted T = 120 MeV E.V. Shuryak and G.E. Brown, Nucl. Phys. A 717 (2003) 322 Γ(M) = Γρ M2 – 4mπ2 Mρ2 – 4mπ2 3 2 Mρ M BW(M) = Γ(M) (M2 – Mρ2)2 + Mρ2 Γ(M)2 P. Braun-Munzinger et.al., CERES Int. Note, March 2000, unpublished; E.V. Shuryak and G.E. Brown, Nucl. Phys. A 717 (2003) 322; P.K. Kolb and M. Prakash, nucl-th/0301007; H.W. Barz et al., Phys. Lett. B 265, 219 (1991); R. Rapp, hep-ph/0305011. 4/21/2019 Patricia Fachini
Transport Model - UrQMD Au+Au Au+Au b ≤ 3 fm b ≤ 3 fm 0 ρ0 √sNN = 200 GeV 1.2 ≤ pT < 1.4 GeV/c |y| ≤ 0.5 0.2 ≤ pT < 0.4 GeV/c |y| ≤ 0.5 BW × PS Mρ = 769 MeV/c2 UrQMD Only imaginary part No medium modification Central Au+Au ρ0 mass shifted ~30 MeV at low pT ρ0 shape reproduced by p-wave Breit-Wigner × Phase Space Mρ= 765.6 MeV for 0.2 ≤ pT < 0.4 GeV/c Mρ = 761.2 MeV for 1.2 ≤ pT < 1.4 GeV/c Mρ = 769 MeV/c2 input Г = 150 MeV 4/21/2019 Patricia Fachini
Nuclear Modification Factor If no “effects”: R < 1 in regime of soft physics R = 1 at high-pt where hard scattering dominates 4/21/2019 Patricia Fachini
Nuclear Modification Factor 4/21/2019 Patricia Fachini
Elliptic Flow v2 Coordinate-space-anisotropy Momentum-space-anisotropy Nuclei Non-central Collisions Hot System Elliptic Shape y x py Px 4/21/2019 Patricia Fachini
Quark or Hadron Combination v2(pT,n) = - dn 1 + exp[-(pT/n – b)/c] an Number of constituent quarks Constants extracted by fitting the K0s and Λ v2 4/21/2019 Patricia Fachini
K*0 Mass and Width pp and Au+Au √sNN = 200 GeV |y|< 0.5 Central Au+Au STAR Preliminary STAR Preliminary Central Au+Au PDG value pp pp PDG value K*0 mass shifted in pp and Au+Au at low pT K*0 width agrees with the MC (GEANT) calculation Systematic and statistical error added in quadrature 4/21/2019 Patricia Fachini
Spectra Change of Φ spectra from Levy function shape in peripheral Au+Au to exponential in central Au+Au collisions different production mechanisms of Φ? Matter formed in central Au+Au collisions favors soft Φ production 4/21/2019 Patricia Fachini
Φ Number of Participants STAR Preliminary STAR Preliminary Φ production increases with Npart (size of the collision system) Same Npart production increases with collision energy There is still a difference in Φ production between STAR and PHENIX 4/21/2019 Patricia Fachini
K* Number of Participants STAR Preliminary STAR Preliminary K* production seems to scale with Npart (size of the collision system) for all systems 4/21/2019 Patricia Fachini
Φ Ratios Φ yield increases faster than π- STAR Preliminary Φ yield increases faster than π- Ratio in Au+Au enhanced compared to p+p Same enhancement for √sNN > 10 GeV no clear conclusion strangeness enhancement Φ/K- independent of centrality UrQMD does not reproduce data kaon coalescence not the main production mechanism for Φ! Φ/K- reproduced by thermal models no rescattering (or regeneration) due to c = 44 fm STAR Preliminary 4/21/2019 Patricia Fachini
Spectra and Yields K* production scales with the size of the collision system Change of Φ spectra from Levy function shape in peripheral Au+Au to exponential in central Au+Au collisions different production mechanisms of Φ Φ production increases with participant pair something happening towards central collisions? Φ the leptonic channel yield is a little higher than hadronic channel more accurate measurement is required to confirm whether there is branch ratio modification 4/21/2019 Patricia Fachini
Φ and K* Spin Alignment Proposed pT dependence on different hadronization mechanism the deviation from ρ00 = 1/3 are predicted to be small not enough sensitivity in the data! K*0 (0.8<pT<5.0 GeV/c) ρ00 = 0.33 ± 0.04 ± 0.12 Φ (0.4<pT<5.0 GeV/c) ρ00 = 0.34 ± 0.02 ± 0.03 4/21/2019 Patricia Fachini
Motivation - I Medium modification of mass and/or width Chiral Symmetry Restoration, Collision Broadening and/or Phase Space? ρ0 leptonic decay channel probes all stages of the collision R. Rapp and J. Wambach, Adv. Nucl. Phys. 25, 1 (2000); G. E. Brown and M. Rho, Phys. Rev. Let. 66 2720 (1991); P. Braun-Munzinger, GSI Internal Report ρ0 + - π- π+ ρ0 π- π+ ρ0 c = 1.3 fm ρ0 hadronic decay channel probes late stages of the collision Φ information early stages of the collision Φ c = 44 fm Φ modification mass shape and width M.Asakawa and C.M. Ko, Nucl. Physics A575, 732 (1994); Phys. Lett. B322, 33 (1994); C. Song, Phys. Lett. B388, 141 (1996); C.M. Ko and D.Seibert, Phys. Rev. C49, 2198 (1994); W. Smith and K.L. Haglin, Phys. Rev C57, 1449 (1998) 4/21/2019 Patricia Fachini
Motivation - II Φ different production for hadronic and leptonic channels Nucleon-nucleon collisions η, ω and ρ0 at high pT perturbative QCD A+A collisions η, ω and ρ0 at high pT nuclear effects can modify particle production Δ++ mass and width modification in medium Vector mesons K* and Φ global polarization measured via spin alignment K* time between chemical and kinetic freeze-out S. Pal et al., Nucl.Phys. A707 (2002) 525-539 RHIC Δ++ Hees and Rapp Hot Quarks04 Hees and Rapp, HotQuarks04 Z. Liang and X. Wang, Phys. Lett B629, 20 (2005) 4/21/2019 Patricia Fachini