Constraining Hadron-Hadron interactions with femtoscopy in ALICE VALENTINA MA VA MANTOVANI SA SARTI FO FOR THE ALICE COLLABORATION PHYSI PH SIK-DE DEPARTMENT NT - TE TECHNISCHE UN UNIVERSITÄT MÜ MÜNCHEN QN QNP2018– TS TSUK UKUB UBA (TOKYO) - 16 N 16 NOVE VEMBER 2018 2018 0 Va Valentina Ma Mantovani Sa Sarti (T (TUM P Physics D Department – E6 E62) 16.11. 16. 11.18 18 – QN QNP2018 (Tsuk ukuba uba)
G. Baym 13 Nov. H. Tamura 13 Nov. W. Weise 13 Nov. ’Quest for much improved YN and YY database’ T. Hatsuda 14 Nov. 1 Valentina Ma Va Mantovani Sa Sarti (T (TUM P Physics D Department – E6 E62) 16.11. 16. 11.18 18 – QN QNP2018 (Tsuk ukuba uba)
Outline 1. Hadron interactions and Neutron Stars 2. Basics of Femtoscopy in ALICE 3. Results pp 5,7,13 TeV and p-Pb 5.02 TeV p-p, p-Λ, Λ-Λ, p-Ξ - correlation functions ◦ ◦ Λ-Λ exclusion plot and H di-baryon constraints First observation of the p-Ξ - strong attractive potential ◦ _ ◦ KN-KN : low momenta high precision data to constrain models close to threshold 2 Va Valentina Ma Mantovani Sa Sarti (T (TUM P Physics D Department – E6 E62) 16. 16.11. 11.18 18 – QN QNP2018 (Tsuk ukuba uba)
YN and YY interactions SCATTERING DATA: • ? Constraint only on pΛ/pΣ interaction (16C1 M. • Kaneta and Y. Nakada) Data from scattering experiments from 1968 • Exp and 1971 in bubble chambers LO NLO Production threshold: p LAB ≳ 100 MeV • LO: H. Polinder, J.H., U. Meiβner, NPA 779 (2006) 244 NLO: J.Haidenbauer., N.Kaiser, et al., NPA 915 (2013) 24 3 Va Valentina Ma Mantovani Sa Sarti (T (TUM P Physics D Department – E6 E62) 16.11. 16. 11.18 18 – QN QNP2018 (Tsuk ukuba uba)
YN and YY interactions: scattering experiments Scattering experiments / Hypernuclei data • ? SCATTERING DATA: • Constraint only on pΛ/pΣ interaction • Exp Data from scattering experiments from 1968 and • LO 1971 in bubble chambers NLO Production threshold: p LAB ≳ 100 MeV • Cannot probe low momentum region • LO: ALWAYS ATTRACTIVE NLO: BECOMES REPULSIVE ⇒ REPULSIVE CORE LO: H. Polinder, J.H., U. Meiβner, NPA 779 (2006) 244 NLO: J.Haidenbauer., N.Kaiser, et al., NPA 915 (2013) 24 4 Va Valentina Ma Mantovani Sa Sarti (T (TUM P Physics D Department – E6 E62) 16.11. 16. 11.18 18 – QN QNP2018 (Tsuk ukuba uba)
YN and YY interactions: hypernuclei HYPERNUCLEI DATA: • Λ hypernuclei data: B Λ nucleus = 30 MeV • Ξ hypernuclei data show shallow attractive • interaction [Kiso Evt] ⇒ 13C1 Yoshida [IBUKI evt] ΛΛ hypernuclei exist as well showing weakly • attraction [Nagara Evt] ⇒ 13C1 Yoshida [MINO evt] Σ hypernuclei: only 4Σ He observed, ongoing at • JPARC-E13 Coll. 13C1 Nakagawa 5 Valentina Ma Va Mantovani Sa Sarti (T (TUM P Physics D Department – E6 E62) 16.11. 16. 11.18 18 – QN QNP2018 (Tsuk ukuba uba)
YN and YY interactions: hypernuclei HYPERNUCLEI DATA: • Λ hypernuclei data: B Λ nucleus = 30 MeV • Ξ hypernuclei data show shallow attractive • interaction [Kiso Evt] ⇒ 13C1 Yoshida [IBUKI evt] ΛΛ hypernuclei exist as well showing weakly • attraction [Nagara Evt] ⇒ 13C1 Yoshida [MINO evt] Σ hypernuclei: only 4Σ He observed, ongoing at • JPARC-E13 Coll. 13C1 Nakagawa 6 Valentina Ma Va Mantovani Sa Sarti (T (TUM P Physics D Department – E6 E62) 16.11. 16. 11.18 18 – QN QNP2018 (Tsuk ukuba uba)
YN and YY interactions: hypernuclei HYPERNUCLEI DATA: • Λ hypernuclei data: B Λ nucleus = 30 MeV • Ξ hypernuclei data show shallow attractive • interaction [Kiso Evt] ⇒ 13C1 Yoshida [IBUKI evt] ΛΛ hypernuclei exist as well showing weakly • attraction [Nagara Evt] ⇒ 13C1 Yoshida [MINO evt] Σ hypernuclei: only 4Σ He observed, ongoing at • JPARC-E13 Coll. 13C1 Nakagawa T.Nagae et al.PRL80 (1998) 1605-1609 7 Valentina Ma Va Mantovani Sa Sarti (T (TUM P Physics D Department – E6 E62) 16.11. 16. 11.18 18 – QN QNP2018 (Tsuk ukuba uba)
Hyperon Puzzle in Neutron Stars • Hyperons should appear in dense neutron-rich The appearance of Hyperons softens the EoS • matter starting from moderate-large densities • Threshold depends on the Y-N interaction Maximum NS masses get smaller • ! " D. Lonardoni, A. Lovato, S. Gandolfi, F. Pederiva D. Lonardoni, A. Lovato, S. Gandolfi, F. Pederiva Phys. Phys. Rev. Lett. 114, 092301 (2015) Rev. Lett. 114, 092301 (2015) ChEFT Calculations from: T. Hell, W.W. PRC90 (2014) 045801 9 Va Valentina Ma Mantovani Sa Sarti (T (TUM P Physics D Department – E6 E62) 16.11. 16. 11.18 18 – QN QNP2018 (Tsuk ukuba uba)
BASICS OF FEMTOSCOPY 10 Valentina Ma Va Mantovani Sa Sarti (T (TUM P Physics D Department – E6 E62) 16. 16.11. 11.18 18 – QN QNP2018 (Tsuk ukuba uba)
Basics of Femtoscopy Source function !(# ⃗) & ' # Ψ(*, # ⃗) & ( two particle wave function § Look for particle pairs § Measure the relative momentum * distribution in your experimental set up § Search for correlations 11 Va Valentina Ma Mantovani Sa Sarti (T (TUM P Physics D Department – E6 E62) 16.11. 16. 11.18 18 – QN QNP2018 (Tsuk ukuba uba)
The correlation function The correlation function: % & ' , & ) ! " ∗ = , % & ' % & ) Experimentally obtained as: " ∗ → ∞ 1 -'./ (" ∗ ) ! " ∗ = + , , 234/5 (" ∗ ) Given by: ! " ∗ = 6 7 8, " ∗ 9(8, " ∗ ) : ;8 Source Relative Wave Function ∗ ∣ ∗ − & ) " ∗ = ∣ & ' ∗ = 0 ∗ + & ) and & ' 2 12 Valentina Ma Va Mantovani Sa Sarti (T (TUM P Physics D Department – E6 E62) 16.11. 16. 11.18 18 – QN QNP2018 (Tsuk ukuba uba)
The correlation function The correlation function: % & ' , & ) ! " ∗ = , % & ' % & ) Experimentally obtained as: -'./ (" ∗ ) ! " ∗ = + , , 234/5 (" ∗ ) Given by: ! " ∗ = 6 7 8, " 9(8, ") : ;8 Relative Wave Source Function Assumption of a common source with Gaussian Shape for p-p, p- L , p- X , , L-L and pK Correlation Function 13 Va Valentina Ma Mantovani Sa Sarti (T (TUM P Physics D Department – E6 E62) 16. 16.11. 11.18 18 – QN QNP2018 (Tsuk ukuba uba)
The correlation function The correlation function: % & ' , & ) ! " ∗ = , % & ' % & ) Se Sensitivity to o the Experimentally obtained as: -'./ (" ∗ ) ! " ∗ = + , interac in actio ion potential ial , 234/5 (" ∗ ) Given by: ! " ∗ = 6 7 8, " 9(8, ") : ;8 Relative Wave Source Function Strong Assumption of a common source with Gaussian Shape for constraint p-p, p- L , p- X , , L-L and pK Correlation Function 14 Valentina Ma Va Mantovani Sa Sarti (T (TUM P Physics D Department – E6 E62) 16. 16.11. 11.18 18 – QN QNP2018 (Tsuk ukuba uba)
The ALICE data sets We measure p-p , p-Λ , Λ-Λ , p-Ξ, p-K • Proton identification with TPC and TOF • " Reconstruction of hyperons • $ ! Λ → '( ) (BR ~ 64%) • Ξ ) → Λ( ) (BR ~ 100%) • " # Datasets: • 3.4·10 8 Events pp 7 TeV: • 10·10 8 Events pp 13 TeV: • 6.0·10 8 Events p-Pb 5.02 TeV: • 15 Valentina Ma Va Mantovani Sa Sarti (T (TUM P Physics D Department – E6 E62) 16.11. 16. 11.18 18 – QN QNP2018 (Tsuk ukuba uba)
Length scales involved in Femtoscopy + .→0 d - ' ! " = % & ' ⃗ Ψ ", ' ⃗ ⃗ 1 § A-A collisions: 2 345ß ~ 4 fm § p-A collisions: 9 :;<ß ~ = fm § p-p collisions: 9 :;<ß ~ > fm 16 Va Valentina Ma Mantovani Sa Sarti (T (TUM P Physics D Department – E6 E62) 16.11. 16. 11.18 18 – QN QNP2018 (Tsuk ukuba uba)
Correlation function and Interactions Attractive strong interaction > 1 attraction C ( k ∗ ) − → = 1 no interaction No correlations at large momenta < 1 repulsion Repulsiveness due to strong, Coulomb and Pauli 17 Va Valentina Ma Mantovani Sa Sarti (T (TUM P Physics D Department – E6 E62) 16.11. 16. 11.18 18 – QN QNP2018 (Tsuk ukuba uba)
Lednicky Model Source Potential Analytic Transport model Full Scattering parameters Numerically solve Eff. range expansion the Schrödinger eq. => phase shifts “ Exact ” solution Approximate solution Wave function Correlation function Depends on scattering parameters, might locally break down for small sources 1 8 Valentina Ma Va Mantovani Sa Sarti (T (TUM P Physics D Department – E6 E62) 16.11. 16. 11.18 18 – QN QNP2018 (Tsuk ukuba uba)
CATS – Correlation Analysis Tool Using the Schrödinger Equation Source Potential Full Analytic Transport model Scattering parameters Numerically solve the Eff. range expansion Schrödinger eq. => phase shifts “Exact” solution Approximate solution Wave function Correlation function 19 (D.L.Mihaylov et al. Eur.Phys.J. C78 (2018) no.5,394) 19 19 Valentina Ma Va Mantovani Sa Sarti (T (TUM P Physics D Department – E6 E62) 16.11. 16. 11.18 18 – QN QNP2018 (Tsuk ukuba uba)
RESULTS 20 Valentina Ma Va Mantovani Sa Sarti (T (TUM P Physics D Department – E6 E62) 16.11. 16. 11.18 18 – QN QNP2018 (Tsuk ukuba uba)
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