Three-body final state interaction and its applications. Peng Guo. Indiana Univ.-Bloomington & JLab Physics Analysis Center
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1 Three-body final state interaction and its applications Peng Guo! Indiana Univ.-Bloomington & JLab Physics Analysis Center!
2 Mission: Hadron Spectroscopy Extracting properties of resonances in multi-hadron final state (PWA): spin, mass, decay width and coupling constant!
3 Mission: Hadron Spectroscopy Extracting properties of resonances in multi-hadron final state (PWA): spin, mass, decay width and coupling constant!
4 Mission: Hadron Spectroscopy Extracting properties of resonances in multi-hadron final state (PWA): spin, mass, decay width and coupling constant!
5 Mission: Hadron Spectroscopy Extracting properties of resonances in multi-hadron final state (PWA): spin, mass, decay width and coupling constant Isobar Model: quasi two-body decays!
6 Mission: Hadron Spectroscopy Extracting properties of resonances in multi-hadron final state (PWA): spin, mass, decay width and coupling constant Isobar Model: quasi two-body decays = () () ()!
7 Mission: Hadron Spectroscopy Extracting properties of resonances in multi-hadron final state (PWA): spin, mass, decay width and coupling constant Isobar Model: quasi two-body decays = () () ()!
8 Mission: Hadron Spectroscopy Extracting properties of resonances in multi-hadron final state (PWA): spin, mass, decay width and coupling constant mpippim:mpippi {mpippim>&&mpippi>.6} mpippim mpippi Isobar Model: quasi two-body decays = () () ()!
9 Mission: Hadron Spectroscopy Extracting properties of resonances in multi-hadron final state (PWA): spin, mass, decay width and coupling constant mpippim:mpippi {mpippim>&&mpippi>.6} mpippim mpippi Isobar Model: quasi two-body decays? = () () ()!
10 Mission: Hadron Spectroscopy Extracting properties of resonances in multi-hadron final state (PWA): spin, mass, decay width and coupling constant mpippim:mpippi {mpippim>&&mpippi>.6} mpippim mpippi Isobar Model: quasi two-body decays? = () () () What are we missing?!
11 Mission: Hadron Spectroscopy Extracting properties of resonances in multi-hadron final state (PWA): spin, mass, decay width and coupling constant mpippim:mpippi {mpippim>&&mpippi>.6} mpippim mpippi Isobar Model: quasi two-body decays? = () () () What are we missing?!
12 Mission: Hadron Spectroscopy Extracting properties of resonances in multi-hadron final state (PWA): spin, mass, decay width and coupling constant mpippim:mpippi {mpippim>&&mpippi>.6} mpippim mpippi Isobar Model: quasi two-body decays? = () () () What are we missing?!
13 Mission: Hadron Spectroscopy Extracting properties of resonances in multi-hadron final state (PWA): spin, mass, decay width and coupling constant mpippim:mpippi {mpippim>&&mpippi>.6} mpippim mpippi Isobar Model: quasi two-body decays? = () () () What are we missing?! Unitarity & Analyticity
14 ! Is three-body interaction important?
15 ! Is three-body interaction important?
16 Is three-body interaction important? Dalitz plot can be described by distribution function:!
17 Is three-body interaction important? Dalitz plot can be described by distribution function:!
18 Is three-body interaction important? Dalitz plot can be described by distribution function:!
19 Is three-body interaction important? Dalitz plot can be described by distribution function:!
20 Is three-body interaction important? Dalitz plot can be described by distribution function: Theory Experiment! S.P.Schneider, B.Kubis and C. Ditsche, JHEP()8
21 Is three-body interaction important? Dalitz plot can be described by distribution function: Theory Experiment! S.P.Schneider, B.Kubis and C. Ditsche, JHEP()8
22 Is three-body interaction important? Yes Dalitz plot can be described by distribution function: Theory Experiment! S.P.Schneider, B.Kubis and C. Ditsche, JHEP()8
23 One of Missions at JPAC Build in three-body interaction (unitarity&analyticity) for future experimental analysis tools Ongoing projects at JPAC: eta, omega to pions!4
24 Building integral equations for three-body A concrete example: assuming only isoscalar S-wave contribution!5
25 Building integral equations for three-body A concrete example: assuming only isoscalar S-wave contribution!5
26 Building integral equations for three-body A concrete example: assuming only isoscalar S-wave contribution g f(s )!5
27 Building integral equations for three-body A concrete example: assuming only isoscalar S-wave contribution g f(s )!5
28 Building integral equations for three-body A concrete example: assuming only isoscalar S-wave contribution g f(s ) Unitarity & Analyticity T(s ) f * (s ) f * (s ) Disc T(s ) = T(s )T(s )!5
29 Building integral equations for three-body A concrete example: assuming only isoscalar S-wave contribution g f(s ) Unitarity & Analyticity T(s ) f * (s ) f * (s ) Disc T(s ) = T(s )T(s )!5
30 Building integral equations for three-body!6
31 Building integral equations for three-body s s th!6
32 Building integral equations for three-body s s th!6
33 .6 ReT b isobar. ImT b isobar sqrt(s) (GeV) sqrt(s) (GeV)!7
34 .6 ReT b isobar. ImT b isobar sqrt(s) (GeV) sqrt(s) (GeV)!7
35 g f(s ).6 ReT b isobar. ImT b isobar sqrt(s) (GeV) sqrt(s) (GeV)!7
36 g f(s ).6 ReT b isobar. ImT b isobar sqrt(s) (GeV) sqrt(s) (GeV)!7
37 g f(s ) Disc T(s ) = T(s ) f * (s ) f * (s ) T(s )T(s ).6 ReT b isobar. ImT b isobar sqrt(s) (GeV) sqrt(s) (GeV)!7
38 Current status and outlook A test version of eta to pions package (with b, Isospin-I and partial wave-l up to ) has been passed onto experimental colleagues (Dennis Weygand, Diane Schott) Omega to pions is still on working progress (Igor Danilkin, Peng) Coupled channel effects will be incorporated into our framework K K K K K!8
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