Three-body final state interaction and its applications Peng Guo! Indiana Univ.-Bloomington & JLab Physics Analysis Center!
Mission: Hadron Spectroscopy Extracting properties of resonances in multi-hadron final state (PWA): spin, mass, decay width and coupling constant!
Mission: Hadron Spectroscopy Extracting properties of resonances in multi-hadron final state (PWA): spin, mass, decay width and coupling constant!
Mission: Hadron Spectroscopy Extracting properties of resonances in multi-hadron final state (PWA): spin, mass, decay width and coupling constant!
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!
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 = () () ()!
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 = () () ()!
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..8.6.4...8.8...4.6.8 mpippi Isobar Model: quasi two-body decays = () () ()!
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..8.6.4...8.8...4.6.8 mpippi Isobar Model: quasi two-body decays? = () () ()!
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..8.6.4...8.8...4.6.8 mpippi Isobar Model: quasi two-body decays? = () () () What are we missing?!
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..8.6.4...8.8...4.6.8 mpippi Isobar Model: quasi two-body decays? = () () () What are we missing?!
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..8.6.4...8.8...4.6.8 mpippi Isobar Model: quasi two-body decays? = () () () What are we missing?!
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..8.6.4...8.8...4.6.8 mpippi Isobar Model: quasi two-body decays? = () () () What are we missing?! Unitarity & Analyticity
! Is three-body interaction important?
! Is three-body interaction important?
Is three-body interaction important? Dalitz plot can be described by distribution function:!
Is three-body interaction important? Dalitz plot can be described by distribution function:!
Is three-body interaction important? Dalitz plot can be described by distribution function:!
Is three-body interaction important? Dalitz plot can be described by distribution function:!
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
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
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
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
Building integral equations for three-body A concrete example: assuming only isoscalar S-wave contribution!5
Building integral equations for three-body A concrete example: assuming only isoscalar S-wave contribution!5
Building integral equations for three-body A concrete example: assuming only isoscalar S-wave contribution g f(s )!5
Building integral equations for three-body A concrete example: assuming only isoscalar S-wave contribution g f(s )!5
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
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
Building integral equations for three-body!6
Building integral equations for three-body s s th!6
Building integral equations for three-body s s th!6
.6 ReT b isobar. ImT b isobar.4..8.6.4 -.. -.4 -.6...4.5.6.7.8.9 sqrt(s) (GeV) -....4.5.6.7.8.9 sqrt(s) (GeV)!7
.6 ReT b isobar. ImT b isobar.4..8.6.4 -.. -.4 -.6...4.5.6.7.8.9 sqrt(s) (GeV) -....4.5.6.7.8.9 sqrt(s) (GeV)!7
g f(s ).6 ReT b isobar. ImT b isobar.4..8.6.4 -.. -.4 -.6...4.5.6.7.8.9 sqrt(s) (GeV) -....4.5.6.7.8.9 sqrt(s) (GeV)!7
g f(s ).6 ReT b isobar. ImT b isobar.4..8.6.4 -.. -.4 -.6...4.5.6.7.8.9 sqrt(s) (GeV) -....4.5.6.7.8.9 sqrt(s) (GeV)!7
g f(s ) Disc T(s ) = T(s ) f * (s ) f * (s ) T(s )T(s ).6 ReT b isobar. ImT b isobar.4..8.6.4 -.. -.4 -.6...4.5.6.7.8.9 sqrt(s) (GeV) -....4.5.6.7.8.9 sqrt(s) (GeV)!7
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