Hadron Spectroscopy and Resonances : Review M. Padmanath Regensburg, Germany 25th July 2018 Lattice 2018 M. Padmanath (UR) @ Lattice 2018, East Lansing, MI @ Hadron spectroscopy and resonances (0/32) Outline 1 Introduction 2 Ground state hadron spectroscopy 3 Excited hadron spectroscopy 4 Resonances on the lattice 5 Meson resonances on the lattice 6 Light baryon resonances 7 Beyond baryons and mesons M. Padmanath (UR) @ Lattice 2018, East Lansing, MI @ Hadron spectroscopy and resonances (0/32) Outline 1 Introduction 2 Ground state hadron spectroscopy 3 Excited hadron spectroscopy 4 Resonances on the lattice 5 Meson resonances on the lattice 6 Light baryon resonances 7 Beyond baryons and mesons M. Padmanath (UR) @ Lattice 2018, East Lansing, MI Introduction @ Hadron spectroscopy and resonances (1/32) Hadron spectroscopy on the lattice Euclidean two point current-current correlation functions n n Z ∗Z ¯ P i j En(tf ti ) Cji (tf ti ) = 0 Oj (tf )Oi (ti ) 0 = 2E e− − − h j j i n n Correlation matrices out of large basis of hadron interpolating operators (Oj (t)) with desired quantum numbers. X Oj (t) = q(x; t)Γj (x; t)q(x; t) x Quark smearing to improve the overlap with ground states! X q(x; t) = S(x; y)qb(y; t) y Variational study (GEVP) to extract physical information n n n Cji (t)vi = λ (t; t0)Cji (t0)vi M. Padmanath (UR) @ Lattice 2018, East Lansing, MI Introduction @ Hadron spectroscopy and resonances (1/32) Outline 1 Introduction 2 Ground state hadron spectroscopy 3 Excited hadron spectroscopy 4 Resonances on the lattice 5 Meson resonances on the lattice 6 Light baryon resonances 7 Beyond baryons and mesons M. Padmanath (UR) @ Lattice 2018, East Lansing, MI Ground state hadron spectroscopy @ Hadron spectroscopy and resonances (2/32) Light baryons ETMC PRD90 074501 '14 PACS-CS PRD87 094512 '13 QCDSF-UKQCD PRD84 054509 '11 BMW Science322 1224 '08 ETMC, Nf = 2 : Alexandrou and Kallidonis, PRD96 034511 '17 Calculations at physical pion mass (ETMC, Nf = 2) Other measurements with chiral extrapolation to physical pion mass. ETMC, Nf = 2 + 1 + 1 and BMW results with continuum extrapolation. Recently baryon masses and mass splittings : BMW Science347 1452 '15; QCDSF-UKQCD 1711.02485; Liu 1612.00103. M. Padmanath (UR) @ Lattice 2018, East Lansing, MI Ground state hadron spectroscopy @ Hadron spectroscopy and resonances (2/32) Heavy baryons 4100 3200 : Expt 017 : HSC 015 : Expt 017 : HSC 015 4000 : ILGTI 013 - 018 : Brown et.al. 014 : ILGTI 013 - 018 : Brown et.al. 014 3000 : TWQCD 017 : PACS-CS 013 : TWQCD 017 : PACS-CS 013 : ETMC 017 : Briceno et.al. 012 3900 : ETMC 017 : Briceno et.al. 012 ) ) : RQCD 015 : Durr et al. 012 : RQCD 015 : Durr et al. 012 V V 2800 e e 3800 M M ( ( 2600 c 3700 c c M 2400 M 3600 2200 3500 * * * * * c c c c c0 c c c cc cc cc cc 2000 3400 PDGMP et al. (HSC) PRL119 042001 '17; PRD91 094502 '15 Alexandrou et al. (ETMC) PRD96 034511 '17 Brown et al. PRD90 094507 '14 Brice~no et al. PRD86 094504 '12 P´erez-Rubio et al. (RQCD) PRD92 034504 '15 Namekawa et al. (PACS) PRD87 094512 '13 ILGTI 1807.00174, 1312.3050 Durr et al. PRD86 114514 '12 Chen& Chiu (TWQCD) PLB 767 193 '17 Recently baryon masses and mass splittings : BMW Science347 1452 '15; QCDSF-UKQCD 1711.02485. Early quenched lattice calculations : Lewis et al. '01; Mathur et al. '02; Flynn et al. '03 Dynamical (light quark) investigations : Liu et al. '10 M. Padmanath (UR) @ Lattice 2018, East Lansing, MI Ground state hadron spectroscopy @ Hadron spectroscopy and resonances (3/32) Recent highlight :Ξ cc 3800 : Expt 017 : HSC 015 3750 : ILGTI 013 - 018 : Brown et.al. 014 : ETMC 017 : PACS-CS 013 : RQCD 015 : Briceno et.al. 012 ) 3700 V e M 3650 ( c c 3600 M 3550 3500 Aaij et al. (LHCb) PRL119 112001 '17MP et al. (HSC) PRD91 094502 '15 Alexandrou et al. (ETMC) PRD96 034511 '17 Brown et al. PRD90 094507 '14 Brice~no et al. PRD86 094504 '12 P´erez-Rubio et al. (RQCD) PRD92 034504 '15 Namekawa et al. (PACS) PRD87 094512 '13 ILGTI 1807.00174, 1312.3050 Ξcc isospin splitting (LQCD), 2.16(11)(17) MeV : BMW Science347 1452 '15 SELEX measurement (3519 MeV) : Mattson et al. PRL89 112001 '02 New papers from LHCb on properties ofΞ cc : 1807.01919; 1806.02744 M. Padmanath (UR) @ Lattice 2018, East Lansing, MI Ground state hadron spectroscopy @ Hadron spectroscopy and resonances (4/32) More predictions for heavy hadrons from lattice 4600 12. Postdiction W W * ILGTI 018 Brown et al. 014 cbb cbb PACS-CS 13 Prediction : Mesons 4400 TWQCD 017 0 11. ETMC 017 Briceno et al. 012 Prediction : Baryons RQCD 015 Durr et al. 012 ) HSC 015 10. V 4200 D e M 9. ( 4000 GeV @ * c c W Wccb ccb E 8. E 3800 ¢ * X ¢ X * W W W Xcb cb cb cb cb cb 7. + + B c 0 B c 1 3600 - * - B 0 B c 1 6. c 1/2 + 3/2 + 1/2 3/2 H L H L H L H L Mathur& MP (ILGTI) 1807.00174, 1312.3050 Mathur, MP et al. (ILGTI) 1806.04151 Ωcc : probably the next doubly charm baryon to be observed in LHCb. Precise predictions for charmed-bottom hadrons. Consistent results with other calculations Brown et al. PRD90 094507 '14 Both calculations treat bottom quarks with NRQCD. In this conference, bottom quarks with relativistic action : Salerno Thu. 09.50 [WDME]; Lytle Fri. 14.20 [HSI] M. Padmanath (UR) @ Lattice 2018, East Lansing, MI Ground state hadron spectroscopy @ Hadron spectroscopy and resonances (5/32) Outline 1 Introduction 2 Ground state hadron spectroscopy 3 Excited hadron spectroscopy 4 Resonances on the lattice 5 Meson resonances on the lattice 6 Light baryon resonances 7 Beyond baryons and mesons M. Padmanath (UR) @ Lattice 2018, East Lansing, MI Excited hadron spectroscopy @ Hadron spectroscopy and resonances (6/32) Excited charmonium spectrum : An example Established states in yellow Predicted, undiscovered Neutral XYZ mesons Charged XYZ mesons Need for a rigorous excited state determination Open scattering channels? Olsen, 1511.01589 M. Padmanath (UR) @ Lattice 2018, East Lansing, MI Excited hadron spectroscopy @ Hadron spectroscopy and resonances (6/32) Methodology and literature Large basis of carefully constructed hadron interpolators Mesons : Liao & Manke hep-lat/0210030 '02; Thomas (HSC) PRD85 014507 '12 Baryons : Basak et al. (LHPC) PRD72 074501, PRD72 094506 '05 Morningstar et al. PRD88 014511 '13. Matrix of correlation functions & Variational study Dudek et al. PRD77 034501 '08, Michael NPB259 58 (1985) Established and practised by many groups 1 Light mesons : Dudek et al. (HSC) PRL103 262001 '09, PRD82 034508 '10 Dudek et al. (HSC) PRD85 014507 '12 2 Light baryons : Bulava et al. (HSC) PRD82 014507, '10 Edwards et al. (HSC) PRD84 074508 '11, PRD87 054506 '13 3 Heavy mesons : Liu et al. (HSC) JHEP1207 126; Moir et al. JHEP1305 021 Cheung et al. JHEP1612 089; Mohler et al. PRD87 034501 '13 Bali et al. PRD84 094506 '11; Wurtz et al. PRD92 054504 '15 4 Heavy baryons : Meinel, PRD85 114510 '12 MP et al. (HSC) PRD90 074504 '14, PRD91 094502 '15 MP& Mathur (HSC) PRL 119 042001 '17, 1508.07168. Single hadron approximation. Naive expectation : correct up to (Γ) O M. Padmanath (UR) @ Lattice 2018, East Lansing, MI Excited hadron spectroscopy @ Hadron spectroscopy and resonances (7/32) Excited hadron spectroscopy on lattice : An example 2 1.8 p =0 1.8 p2=0 1.7 1.7 1.6 DsDs 1.6 DD DsDs n 1.5 n DD E E a a 1.5 1.4 1.4 1.3 1.2 1.3 1.1 1.2 A1-+ T1-+ T2-+ E -+ A2-+ A1++ T1++ T2++ E ++ A2++ A1-- T1-- T2-- E -- A2-- A1+- T1+- T2+- E +- A2+- 1.8 1.8 2 p =1 p2=2 1.7 1.7 DsDs DD DsDs 1.6 1.6 DD n n E 1.5 E 1.5 a a 1.4 1.4 1.3 1.3 1.2 1.2 A1- A2- B1- B2- E2- A1+ A2+ B1+ B2+ E2+ A1- A2- B1- B2- A1+ A2+ B1+ B2+ Charmonium spectrum in different inertial frames (L 2 fm) Piemonte Fri. 15.20 [HSI]; Collins, MP, et al. (RQCD) ∼ Spin 0,1,2,3 M. Padmanath (UR) @ Lattice 2018, East Lansing, MI Excited hadron spectroscopy @ Hadron spectroscopy and resonances (8/32) Excited baryon spectroscopy : Example 2.6 Wc D 2.4 2.2 GeV @ c 2. h m 1.8 X'c K 0.5 1.6 Xc K - 1.4 m 1.2 1 2+ 3 2+ 5 2+ 7 2+ 1 2- 3 2- 5 2- 7 2- Edwards, et al. (HSC) PRD84 074508 '11; MP& Mathur (HSC) PRL 119 042001 '17 PRD87 054506 '13 Baryon interpolators : Basak et al. (LHPC) PRD72 074501, PRD72 094506 '05 Morningstar et al. PRD88 014511 '13. Light baryons : Bulava et al. PRD82 014507, '10 Edwards et al. (HSC) PRD84 074508 '11, PRD87 054506 '13 Heavy baryons : Meinel, PRD85 114510 '12 MP et al. (HSC) PRD90 074504 '14, PRD91 094502 '15 MP& Mathur (HSC) PRL 119 042001 '17, 1508.07168. M. Padmanath (UR) @ Lattice 2018, East Lansing, MI Excited hadron spectroscopy @ Hadron spectroscopy and resonances (9/32) 0 LHCb discovery of excitedΩ c baryons Resonance Energy Width Q.no. 0 + Ωc 2695(2) - 1=2 0 + Ωc (2770) 2766(2) - 3=2 0 Ωc (3000) 3000(1) 4.5(1) ? 0 Ωc (3050) 3050(1) 1(-) ? 0 Ωc (3066) 3066(1) 3.5(-) ? 0 Ωc (3090) 3090(1) 8.7(1) ? 0 Ωc (3119) 3119(1) 1(1) ? Belle Aaij et al.