Recent Progress in Hadron Spectroscopy by JPAC

Transcription

1 Recent Progress in Hadron Sectroscoy by JPAC Vincent MATHIEU Indiana University - Joint Physics Analysis Center The Power of Sectroscoy in QCD EC*-Trento February 2016

2 Goals in Hadron Sectroscoy 1. Extract value of fundamental arameters 2. Extract roerties of resonances 3. Possibly discover new resonances/new state of matter 4. Understand fundamental laws (matching QCD with ex.) 5. Preserve/share material roerties of X New state of matter? a b, P X

3 Extract Fondamental Parameters: Quark Mass Difference,,!, Isosin violating decay sensitive to quark mass difference 3

4 Extract Fondamental Parameters: Quark Mass Difference,,!, fit Dalitz distribution Isosin violating decay sensitive to quark mass difference fit event by event g12 CLAS6 data 3

5 Extract Fondamental Parameters: Quark Mass Difference,,!, fit Dalitz distribution Isosin violating decay sensitive to quark mass difference Q 2 = m2 s (m u + m d ) 2 /4 m 2 d m 2 u WASA@COSY CLAS@CEBAF KLOE@DAPHNE Q = 21.4 ± 0.4 in rearation in rearation P. Guo et al (JPAC) PRD fit event by event g12 CLAS6 data 3

6 Extract Fondamental Parameters: Quark Mass Difference,,!, fit Dalitz distribution Isosin violating decay sensitive to quark mass difference Q 2 = m2 s (m u + m d ) 2 /4 m 2 d m 2 u WASA@COSY CLAS@CEBAF KLOE@DAPHNE Q = 21.4 ± 0.4 in rearation in rearation P. Guo et al (JPAC) PRD !,! 3, 0 I. Danilkin et al (JPAC) PRD fit event by event g12 CLAS6 data

7 Extract Resonance Proerties: and Baryon Sectrum K, K C. Fernandez-Ramirez et al. (JPAC) ArXiv:1510:07065 (to aear in PRD) 4

8 Extract Resonance Proerties: and Baryon Sectrum K, K 0 πλ πσ KN ππσ πσ * πλ * K ησ K * N Σ(1670) Σ(1915) hysical axis 100 Σ(1560) Σ(1750) Γ (MeV) 200 Σ(1660) Σ(1775) Σ(1900) Σ(2030) 300 S 11 I =1 P 11 P 13 D D 15 F 15 F 17 G 17 Σ(2070) M (MeV) C. Fernandez-Ramirez et al. (JPAC) ArXiv:1510:07065 (to aear in PRD) 4

9 Extract Resonance Proerties: and Baryon Sectrum K, K Γ (MeV) πσ ππλ KN πσ * ηλ K * N πλ πσ KN ππσ πσ * πλ * K ησ K * N Λ(1710) Λ(1520) Λ(1810) Σ(1670) Λ(1690) Λ(1890) Σ(1915) Λ(1820) Λ(2020) Λ(1600) Σ(1560) Σ(1750) Λ(2100) Λ(1670) Σ(1660) Λ(1405) Λ(1830) Σ(1900) Σ(1775) Λ(2050) Σ(2030) S 01 P P D D F F G 17 Λ(2000) Λ(2110) G 07 I =0 hysical hysical axis axis I =1 Σ(2070) M (MeV) C. Fernandez-Ramirez et al. (JPAC) ArXiv:1510:07065 (to aear in PRD) 4

10 Extract Resonance Proerties: and Baryon Sectrum K, K 0 b! J/ K PRL (2015) C. Fernandez-Ramirez et al. (JPAC) ArXiv:1510:07065 (to aear in PRD) 4

11 K! K Energy Evolution cos cos 5 cos cos

12 K! K Energy Evolution C. Fernandez-Ramirez et al. (JPAC) ArXiv:1510:07065 VM (unublished) Partial wave exansion Regge ole exansion a b c d L max 1X = `=0 1 ` = +O s 6

13 ! 0 n Low energy: baryon resonances High energy: Regge exchange Total cross section s(gev) 7

14 ! 0 n Low energy: baryon resonances High energy: Regge exchange Total cross section s(gev) 7

15 ! 0 n Low energy: baryon resonances High energy: Regge exchange Total cross section s(gev) 7

16 Finite Energy Sum Rules Satisfy disersion relations Imν A(,t)= 2 Z 1 0 Im A( 0,t) d 0 ν 0 ν 0 = µ + t/4m Re ν convenient variable: = s 2 u 8

17 Finite Energy Sum Rules Satisfy disersion relations Imν A(,t)= 2 Z 1 0 Im A( 0,t) d 0 ν 0 ν 0 = µ + t/4m Re ν!1 Im A(,t)! (t) (t) = s u convenient variable: 2 8

18 Finite Energy Sum Rules Satisfy disersion relations Imν A(,t)= 2 Z 1 0 Im A( 0,t) d 0 ν 0 ν 0 = µ + t/4m Re ν > Im A(,t)! (t) (t) = s u convenient variable: 2 8

19 Finite Energy Sum Rules Satisfy disersion relations Imν A(,t)= 2 Z 1 0 Im A( 0,t) d 0 ν 0 ν 0 = µ + t/4m Re ν > Im A(,t)! (t) (t) = s u convenient variable: 2 Analyticity imlies FESR mb.gev k Z 0 Im A(,t) k d = (t) (t)+1 (t)+k Im nb H-L at t=0 - SAID - bn a fitted to FESR ; L=1.5 GeV n HGeVL 8

20 How to Use the FESR? C. Fernandez-Ramirez et al. (JPAC) ArXiv:1510:07065 VM (unublished) 1 k Z 0 Im A(,t) k d = (t) (t)+1 (t)+k +1 9

21 How to Use the FESR? C. Fernandez-Ramirez et al. (JPAC) ArXiv:1510:07065 VM (unublished) 1 k Z 0 Im A(,t) k d = (t) (t)+1 (t)+k +1 FESR rovides constraint on the low energy fit (that determines resonances arameters) 9 High energy fit determines (t) and (t)

22 Alication to N : High Energy Fit VM et al (JPAC) PRD92 arxiv: Total cross section Fit to the world data on ±! ±! 0 n for beam energy > 2 GeV Differential cross section Polarization observable

23 Let s comare both side of the sum rule 1 k Z 0 Im A(,t) k d = (t) (t)+1 (t)+k VM et al (JPAC) PRD92 arxiv:

24 Checking Analyticity Match low energy (PW) and high energy (Regge) imaginary arts Partial waves Regge oles 2-3 GeV Plab Reconstruct the real art from the disersion relation A(,t)= 2 Z 1 0 Im A( 0,t) d 0 VM et al (JPAC) PRD92 arxiv:

25 Checking Analyticity Match low energy (PW) and high energy (Regge) imaginary arts Partial waves Regge oles 2-3 GeV Plab Reconstruct the real art from the disersion relation A(,t)= 2 Z 1 0 Im A( 0,t) d 0 VM et al (JPAC) PRD92 arxiv:

26 Discovering (?) New Resonances: Eta( η, η π P π 0 COMPASS ArXiv: PLB

27 Discovering (?) New Resonances: Eta( η, η π P π 0 1 (1600)? a 2 (1320) L =1 L =2 a 4 (2040) L =4 black: red: 0 (scaled) Resonance in angular mom. L = 1? COMPASS ArXiv: PLB

28 JLab: CLAS & Beam Energy = 190 GeV a b P Only beam Beam Energy = 2-11 GeV γ R K + K - WGC: Workman, Schott Salgado, Weygand Mathieu, Szczeaniak beam and target fragmentation GWU JLab JLab/IU γ K - K + M 2 (K + K - ) (GeV 2 ) 14 M 2 (K - ) (GeV 2 )

29 Contamination by Target Fragmentation How large is the contamination at E = 9 GeV? How do we select beam fragmentation? [Van Hove 1969] [JPAC PRD91 (2015) ] 15

30 Contamination by Target Fragmentation How large is the contamination at E = 9 GeV? How do we select beam fragmentation? Boost in the rest frame [Van Hove 1969] [JPAC PRD91 (2015) ] 15

31 Contamination by Target Fragmentation How large is the contamination at E = 9 GeV? How do we select beam fragmentation? Boost in the rest frame target beam beam target [Van Hove 1969] [JPAC PRD91 (2015) ] 15

32 K + K Meson E = 3.4 GeV K + K Baryon courtesy of D. Glazier 16

33 K + K Meson E = 3.4 GeV K + K Baryon courtesy of D. Glazier 16

34 meson Beam Energy = 2-10 GeV 17

35 18 Courtesy of J. Stevens

36 t-deendence resonances? s t exchange 19

37 t-deendence resonances? s exchange P s 1+0.2t t Pomeron exchange f 2 s t 19 vector exchange

38 diff cross section Model for high energy (Eg>3 GeV) based on Regge exchanges VM et al arxiv: (PRD ) 20 beam asymmetry

39 4. Preserving and Sharing Material:! 0 Blue line: Model from VM et al arxiv: Red oints: Data from CLAS (in rearation) cos 21 courtesy of M Kunkel cos

40 Interactive webage: htt:// VM et al (JPAC) N! N arxiv: PRD ! 0 VM et al arxiv: PRD ! + 0 P. Guo et al (JPAC) arxiv: PRD !,! + 0! 0 I. Danilkin et al (JPAC) arxiv: PRD ! K + K M. Shi et al (JPAC) arxiv: PRD KN! KN C. Fernandez-Ramirez et al (JPAC) arxiv:

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