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Dalitz Project Poster

This document summarizes research analyzing the Dalitz plot of the decay B03π+. It finds that the asymmetric Dalitz plot is well described by a combination of several quasi-two-body decay channels along with a nonresonant component. Throughout the analysis, Monte Carlo simulations are used to examine reconstruction efficiency and examine the resonant substructure.

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RESEARCH POSTER PRESENTATION DESIGN © 2012 www.PosterPresentations.com 2 )2 + (GeV/c2 M 0.5 1 1.5 2 2.5 3 2 )2 -(GeV/c2 M 0.5 1 1.5 2 2.5 3 Entries 20253Entries 20253 Dalitz Plot (vs. flavor tags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0 S K Entries 23820 tag1 vs. tag2 mass flavor- !+! 0 S K Entries 23820 (flavor tags) doubletag mass- !+ !0 SK $=>'4?@A' B'?C'/# 01213'DE>F=G'AHAFID' B'?C'/# 01213'J=KL>M?NF@'AHAFID' [4#]#j;10-+%":#6"@'Gk# fe^^# R3m# [4#]#3# ^eYR# YMR# [4#]#]#4# NYYf# YeM# )2 mBC (GeV/c 1.83 1.84 1.85 1.86 1.87 1.88 1.89 E(GeV)! -0.1 -0.08 -0.06 -0.04 -0.02 0 0.02 0.04 0.06 0.08 0.1 vs flavor tags- "+ "0 SK E (GeV)! -0.1 -0.08 -0.06 -0.04 -0.02 0 0.02 0.04 0.06 0.08 0.1 0 500 1000 1500 2000 2500 3000 E!- "+ "0 SK )2 mBC (GeV/c 1.83 1.84 1.85 1.86 1.87 1.88 1.89 0 1000 2000 3000 4000 5000 6000 7000 mass- "+ "0 SK )2 mBC (GeV/c 1.83 1.84 1.85 1.86 1.87 1.88 1.89 E (GeV) ! -0.1 -0.08 -0.06 -0.04 -0.02 0 0.02 0.04 0.06 0.08 0.1 0 200 400 600 800 1000 vs flavor tags- "+ "0 SK )2 mBC (GeV/c 1.83 1.84 1.85 1.86 1.87 1.88 1.89 E(GeV)! -0.1 -0.08 -0.06 -0.04 -0.02 0 0.02 0.04 0.06 0.08 0.1 kpi_overview Entries 132172 kpi_overview Entries 132172 + " - K kpi_deltaE Entries 99592 E (GeV)! -0.1 -0.08 -0.06 -0.04 -0.02 0 0.02 0.04 0.06 0.08 0.1 0 1000 2000 3000 4000 5000 6000 7000 8000 9000 kpi_deltaE Entries 99592 E!+ " - K kpi_mBC Entries 95677 )2 mBC (GeV/c 1.83 1.84 1.85 1.86 1.87 1.88 1.89 0 2000 4000 6000 8000 10000 12000 14000 16000 18000 20000 22000 kpi_mBC Entries 95677 mass+ " - K )2 mBC (GeV/c 1.83 1.84 1.85 1.86 1.87 1.88 1.89 E (GeV) ! -0.1 -0.08 -0.06 -0.04 -0.02 0 0.02 0.04 0.06 0.08 0.1 0 500 1000 1500 2000 2500 3000 kpi_overview Entries 132172 kpi_overview Entries 132172 + " - K 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 Background Events- !+ ! 0 SK 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 0 2 4 6 8 10 12 14 16 18 20 Tracks 1-3 projection 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 0 5 10 15 20 25 30 35 Tracks 1-2 projection 2 )2 (GeV/c- !+! 2 M 0 0.5 1 1.5 2 2.5 3 0 2 4 6 8 10 12 14 16 18 20 22 24 Tracks 2-3 projection 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 Data Fit Efficiency Calculation (from polynomial fit) 0.5 1 1.5 2 2.5 3 0 1 2 3 4 5 Track 1-3 Projection Efficiency Fit Comparison 0.5 1 1.5 2 2.5 3 0 1 2 3 4 5 Track 1-2 Projection Efficiency Fit Comparison 0 0.5 1 1.5 2 2.5 3 0 1 2 3 4 5 6 7 Track 2-3 Projection Efficiency Fit Comparison -6 -4 -2 0 2 2 )2 (GeV/c+ !0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- !0 SK 2 M 0.5 1 1.5 2 2.5 3 "Efficiency Function Fit, Signed "Efficiency Function Fit, Signed -5 -4 -3 -2 -1 0 1 2 3 2 )2 (GeV/c+ !0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- !0 SK 2 M 0.5 1 1.5 2 2.5 3 using final fit"Signed using final fit"Signed S1,)@#bMc2WSd# RePYcRmRP#g#R=Rf# 6)0A?%'+,:#"J",-*#)%"#&%'(#%":#*1:"/),:#/'Q"*# X**+(":#-'#/"#I)-#1,#/")(#0',*-%)1,":#()**#*$)0"#),:#1,:"$",:",-# 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 Data Fit Dalitz Plot- !+ !0 SK 0.5 1 1.5 2 2.5 3 0 100 200 300 400 500 600 700 Track 1-3 Projection Fit Comparison 0.5 1 1.5 2 2.5 3 0 500 1000 1500 2000 2500 3000 3500 Track 1-2 Projection Fit Comparison 0 0.5 1 1.5 2 2.5 3 0 100 200 300 400 500 600 700 800 900 Track 2-3 Projection Fit Comparison Intermediate State -! +(892) * K nonresonant 1 " 0 S K -! + (1430) 0 * K (980) 0 f 0 S K +! - (1680) * K -! + (1430) 2 * K (1370) 0 f 0 S K -! + (1680) * K (1270) 2 f 0 S K (1450) 0# 0 S K $ 0 S K 2 " 0 S K +! - (1410) * K +! -(892) * K +! - (1430) 2 * K -! + (1410) * K +! - (1430) 0 * K BelleFitFraction OurFitFraction 0 0.5 1 1.5 2 2.5 3 3.5 4 Fit Fraction Ratios Intermediate State -! +(892) * K nonresonant 1 " 0 S K -! + (1430) 0 * K (980) 0 f 0 S K +! - (1680) * K -! + (1430) 2 * K (1370) 0 f 0 S K -! + (1680) * K (1270) 2 f 0 S K (1450) 0# 0 S K $ 0 S K 2 " 0 S K +! - (1410) * K +! -(892) * K +! - (1430) 2 * K -! + (1410) * K +! - (1430) 0 * K )°Ourphase-BellePhase( -60 -40 -20 0 20 40 60 Phase Differences Intermediate State Amplitude Phase (◦ ) Fit Fraction (%) K∗ (892)+ π− 1.79 ± 0.04 137.6 ± 1.9 62.02 ± 0.04 K0 Sρ0 1.00 (fixed) 0.00 (fixed) 16.89 nonresonant 4.5 ± 1.0 159 ± 5 11.9 ± 0.4 K0 Sσ1 1.64 ± 0.10 207 ± 3 10.24 ± 0.12 K∗ 0 (1430)+ π− 2.54 ± 0.17 343 ± 3 9.00 ± 0.13 K0 Sf0(980) 0.406 ± 0.020 199 ± 5 4.32 ± 0.10 K∗ (1680)− π+ 8.2 ± 1.0 141 ± 6 3.9 ± 0.3 K∗ 2 (1430)+ π− 1.59 ± 0.08 312 ± 4 3.86 ± 0.10 K0 Sf0(1370) 1.6 ± 0.4 78 ± 17 1.8 ± 0.5 K∗ (1680)+ π− 4.3 ± 1.4 60. ± 13 1.1 ± 0.7 K0 Sf2(1270) 1.19 ± 0.15 343 ± 9 1.0 ± 0.3 K0 Sρ0 (1450) 1.6 ± 0.4 159 ± 14 0.9 ± 0.5 K0 Sω 0.044 ± 0.007 110 ± 10 0.7 ± 0.3 K0 Sσ2 0.23 ± 0.04 248 ± 12 0.5 ± 0.3 K∗ (1410)− π+ 0.67 ± 0.16 238 ± 11 0.5 ± 0.5 K∗ (892)− π+ 2.54 ± 0.17 305 ± 6 0.35 ± 0.13 K∗ 2 (1430)− π+ 0.30 ± 0.09 304 ± 16 0.1 ± 0.6 K∗ (1410)+ π− 0.25 ± 0.15 280 ± 40 0.1 ± 1.2 K∗ 0 (1430)− π+ 0.09 ± 0.14 60 ± 70 0 ± 3 Total 129.07 0 5 10 15 20 25 2 )2 (GeV/c+ !0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- !0 SK 2 M 0.5 1 1.5 2 2.5 3 using final fit2" using final fit2"

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Dalitz Project Poster

  • 1.
    RESEARCH POSTER PRESENTATIONDESIGN © 2012 www.PosterPresentations.com 2 )2 + (GeV/c2 M 0.5 1 1.5 2 2.5 3 2 )2 -(GeV/c2 M 0.5 1 1.5 2 2.5 3 Entries 20253Entries 20253 Dalitz Plot (vs. flavor tags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`J"# @")%,":#)/'+-#-."#,)-+%"#'&#$.)*"#*$)0"#1,#?","%)@#-.%""4/':E#:"0)E*F# .'G#-'#0)@0+@)-"#"@"(",-*#'&#)#:"0)E#()-%1Q#:"$",:1,?#',#-."#*$1,#'&#-."# 0'($',",-# $)%C0@"*F# .'G# -'# -%")-# *()@@# /)0A?%'+,:*# ),:# .'G# -'# +*"# B',-"# <)%@'# *1(+@)-":# :)-)# -'# "Q)(1,"# %"0',*-%+0C',# "D01",0EF# ),:# .'G# -'# "a"0CJ"@E# H-# &+,0C',*# -'# :)-)# 1,# .1?.@E# 0'%%"@)-":# ,',@1,")%# *$)0"*#G1-.#@)%?"#,+(/"%*#'&#$)%)("-"%*=# S1-#bMc2WSd# RNRecRYYf#g#R=MR# S1T":#/)0A?%'+,:#*+/-%)0-":#2)@1-K#;@'-#G1-.#"D01",0E4G"1?.-":# -."'%"C0)@#$%":10C',*F#@")J1,?#)($@1-+:"*#),:#$.)*"*#&%""#-'#J)%E# • #;%":10-#)($@1-+:"#)-#)@@#$'1,-*#1,#$.)*"#*$)0"# • #<)@0+@)C',#1*#:"$",:",-#',#*$1,#'&#1,-"%(":1)-"#$)%C0@"# "=?=#)($@1-+:"#&'%#)#*0)@)%#%"*',),0"#1*#*1($@"*-d# !."%"#S2#1*#)#&'%(#&)0-'%#0'%%"*$',:1,?#-'#-."#23#),:#S%#1*#)#&'%(#&)0-'%# 0'%%"*$',:1,?#-'#-."#%"*',),0"=#S'%#.1?."%#*$1,*#-."*"#&'%(#&)0-'%*#)%"# &+,0C',*#'&#$.)*"#*$)0"=# • #U'-)@#)($@1-+:"#1*#-."#0'."%",-#*+(#'&#)@@#0'($',",-#)($@1-+:"*#G1-.# $.)*"*#*L+)%":d# 9,-"%&"%",0"#/"-G"",#0'($',",-*#1*#:+"#-'#-."#$.)*"#-"%(*#1,#-."#*+(=# • #W+%#H-#+*"*#R^#%"*',),-#-"%(*#G1-.#',"#,',%"*',),-#0'($',",-d# • #h","%)@#-.%""#/':E#:"0)E#.)*#-G'##### ##:"?%""*#'&#&%"":'(# • #2)@1-K#i)%1)/@"*d#BM 1_#g#j$1#]#$_kM# • #>*"#2)@1-K#J)%1)/@"*#-'#:"$10-#$.)*"## ##*$)0"d#*.'G#%"*',),-#*+/*-%+0-+%"# • #<',*-),-#)($@1-+:"#?1J"*#0',*-),-# :",*1-E#)0%'**#-."#$@'-# • #i)%1)C',*#)%"#6%"1-4!1?,"%# :1*-%1/+C',*#'&#0'($',",-#:"0)E# 0.),,"@*#(+@C$@1":#/E#*$1,#*-%+0-+%"# &*)&7,#(*)#' 2)@1-K#X,)@E*1*#'&#-."#2"0)E#23######[8 3]4# +!7($;'87*$'5($' "!&/:%*,)+'#,"$%!&$(*)' 57!<*%'$!::.+'+!7($;'87*$' 57!<*%'$!:#' $-.*%6' R<)%,"?1"#B"@@',#>,1J"%*1-EF#;1T*/+%?.F#;X ##M>,1J"%*1-E#'&#O'0."*-"%F#O'0."*-"%F#Zl# Z10A#7(1,1K"%R#),:#;%'&=#O'E#6%1"%"R## G1-.#)**1*-),0"#&%'(#W,+%#X@/)E%)ARF#2%=#<.+,@"1#V1+RF#),:#2),#X(/%'*"M# )2 tag1 mBC (GeV/c 1.83 1.84 1.85 1.86 1.87 1.88 1.89 )2 tag2mBC(GeV/c 1.83 1.84 1.85 1.86 1.87 1.88 1.89 tag1 vs. tag2 mass flavor- !+! 0 S K Entries 23820 tag1 vs. tag2 mass flavor- !+! 0 S K Entries 23820 (flavor tags) doubletag mass- !+ !0 SK $=>'4?@A' B'?C'/# 01213'DE>F=G'AHAFID' B'?C'/# 01213'J=KL>M?NF@'AHAFID' [4#]#j;10-+%":#6"@'Gk# fe^^# R3m# [4#]#3# ^eYR# YMR# [4#]#]#4# NYYf# YeM# )2 mBC (GeV/c 1.83 1.84 1.85 1.86 1.87 1.88 1.89 E(GeV)! -0.1 -0.08 -0.06 -0.04 -0.02 0 0.02 0.04 0.06 0.08 0.1 vs flavor tags- "+ "0 SK E (GeV)! -0.1 -0.08 -0.06 -0.04 -0.02 0 0.02 0.04 0.06 0.08 0.1 0 500 1000 1500 2000 2500 3000 E!- "+ "0 SK )2 mBC (GeV/c 1.83 1.84 1.85 1.86 1.87 1.88 1.89 0 1000 2000 3000 4000 5000 6000 7000 mass- "+ "0 SK )2 mBC (GeV/c 1.83 1.84 1.85 1.86 1.87 1.88 1.89 E (GeV) ! -0.1 -0.08 -0.06 -0.04 -0.02 0 0.02 0.04 0.06 0.08 0.1 0 200 400 600 800 1000 vs flavor tags- "+ "0 SK )2 mBC (GeV/c 1.83 1.84 1.85 1.86 1.87 1.88 1.89 E(GeV)! -0.1 -0.08 -0.06 -0.04 -0.02 0 0.02 0.04 0.06 0.08 0.1 kpi_overview Entries 132172 kpi_overview Entries 132172 + " - K kpi_deltaE Entries 99592 E (GeV)! -0.1 -0.08 -0.06 -0.04 -0.02 0 0.02 0.04 0.06 0.08 0.1 0 1000 2000 3000 4000 5000 6000 7000 8000 9000 kpi_deltaE Entries 99592 E!+ " - K kpi_mBC Entries 95677 )2 mBC (GeV/c 1.83 1.84 1.85 1.86 1.87 1.88 1.89 0 2000 4000 6000 8000 10000 12000 14000 16000 18000 20000 22000 kpi_mBC Entries 95677 mass+ " - K )2 mBC (GeV/c 1.83 1.84 1.85 1.86 1.87 1.88 1.89 E (GeV) ! -0.1 -0.08 -0.06 -0.04 -0.02 0 0.02 0.04 0.06 0.08 0.1 0 500 1000 1500 2000 2500 3000 kpi_overview Entries 132172 kpi_overview Entries 132172 + " - K 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 Background Events- !+ ! 0 SK 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 0 2 4 6 8 10 12 14 16 18 20 Tracks 1-3 projection 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 0 5 10 15 20 25 30 35 Tracks 1-2 projection 2 )2 (GeV/c- !+! 2 M 0 0.5 1 1.5 2 2.5 3 0 2 4 6 8 10 12 14 16 18 20 22 24 Tracks 2-3 projection 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 Data Fit Efficiency Calculation (from polynomial fit) 0.5 1 1.5 2 2.5 3 0 1 2 3 4 5 Track 1-3 Projection Efficiency Fit Comparison 0.5 1 1.5 2 2.5 3 0 1 2 3 4 5 Track 1-2 Projection Efficiency Fit Comparison 0 0.5 1 1.5 2 2.5 3 0 1 2 3 4 5 6 7 Track 2-3 Projection Efficiency Fit Comparison -6 -4 -2 0 2 2 )2 (GeV/c+ !0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- !0 SK 2 M 0.5 1 1.5 2 2.5 3 "Efficiency Function Fit, Signed "Efficiency Function Fit, Signed -5 -4 -3 -2 -1 0 1 2 3 2 )2 (GeV/c+ !0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- !0 SK 2 M 0.5 1 1.5 2 2.5 3 using final fit"Signed using final fit"Signed S1,)@#bMc2WSd# RePYcRmRP#g#R=Rf# 6)0A?%'+,:#"J",-*#)%"#&%'(#%":#*1:"/),:#/'Q"*# X**+(":#-'#/"#I)-#1,#/")(#0',*-%)1,":#()**#*$)0"#),:#1,:"$",:",-# 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c+! 0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- ! 0 SK 2 M 0.5 1 1.5 2 2.5 3 Data Fit Dalitz Plot- !+ !0 SK 0.5 1 1.5 2 2.5 3 0 100 200 300 400 500 600 700 Track 1-3 Projection Fit Comparison 0.5 1 1.5 2 2.5 3 0 500 1000 1500 2000 2500 3000 3500 Track 1-2 Projection Fit Comparison 0 0.5 1 1.5 2 2.5 3 0 100 200 300 400 500 600 700 800 900 Track 2-3 Projection Fit Comparison Intermediate State -! +(892) * K nonresonant 1 " 0 S K -! + (1430) 0 * K (980) 0 f 0 S K +! - (1680) * K -! + (1430) 2 * K (1370) 0 f 0 S K -! + (1680) * K (1270) 2 f 0 S K (1450) 0# 0 S K $ 0 S K 2 " 0 S K +! - (1410) * K +! -(892) * K +! - (1430) 2 * K -! + (1410) * K +! - (1430) 0 * K BelleFitFraction OurFitFraction 0 0.5 1 1.5 2 2.5 3 3.5 4 Fit Fraction Ratios Intermediate State -! +(892) * K nonresonant 1 " 0 S K -! + (1430) 0 * K (980) 0 f 0 S K +! - (1680) * K -! + (1430) 2 * K (1370) 0 f 0 S K -! + (1680) * K (1270) 2 f 0 S K (1450) 0# 0 S K $ 0 S K 2 " 0 S K +! - (1410) * K +! -(892) * K +! - (1430) 2 * K -! + (1410) * K +! - (1430) 0 * K )°Ourphase-BellePhase( -60 -40 -20 0 20 40 60 Phase Differences Intermediate State Amplitude Phase (◦ ) Fit Fraction (%) K∗ (892)+ π− 1.79 ± 0.04 137.6 ± 1.9 62.02 ± 0.04 K0 Sρ0 1.00 (fixed) 0.00 (fixed) 16.89 nonresonant 4.5 ± 1.0 159 ± 5 11.9 ± 0.4 K0 Sσ1 1.64 ± 0.10 207 ± 3 10.24 ± 0.12 K∗ 0 (1430)+ π− 2.54 ± 0.17 343 ± 3 9.00 ± 0.13 K0 Sf0(980) 0.406 ± 0.020 199 ± 5 4.32 ± 0.10 K∗ (1680)− π+ 8.2 ± 1.0 141 ± 6 3.9 ± 0.3 K∗ 2 (1430)+ π− 1.59 ± 0.08 312 ± 4 3.86 ± 0.10 K0 Sf0(1370) 1.6 ± 0.4 78 ± 17 1.8 ± 0.5 K∗ (1680)+ π− 4.3 ± 1.4 60. ± 13 1.1 ± 0.7 K0 Sf2(1270) 1.19 ± 0.15 343 ± 9 1.0 ± 0.3 K0 Sρ0 (1450) 1.6 ± 0.4 159 ± 14 0.9 ± 0.5 K0 Sω 0.044 ± 0.007 110 ± 10 0.7 ± 0.3 K0 Sσ2 0.23 ± 0.04 248 ± 12 0.5 ± 0.3 K∗ (1410)− π+ 0.67 ± 0.16 238 ± 11 0.5 ± 0.5 K∗ (892)− π+ 2.54 ± 0.17 305 ± 6 0.35 ± 0.13 K∗ 2 (1430)− π+ 0.30 ± 0.09 304 ± 16 0.1 ± 0.6 K∗ (1410)+ π− 0.25 ± 0.15 280 ± 40 0.1 ± 1.2 K∗ 0 (1430)− π+ 0.09 ± 0.14 60 ± 70 0 ± 3 Total 129.07 0 5 10 15 20 25 2 )2 (GeV/c+ !0 SK 2 M 0.5 1 1.5 2 2.5 3 2 )2 (GeV/c- !0 SK 2 M 0.5 1 1.5 2 2.5 3 using final fit2" using final fit2"