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New Data, Efficiency and Background Models. Omit tips & boundaries. ~ 518K events L>0.93. LnL = -1564843.8, NDF 37953 c 2 /NDF = 1.135. Data – Larger Sample. ~ 2M events L>0.70. LnL=-7708417.7, NDF 104598 c 2 /NDF = 1.09. Next. Make sure the isobar model fits work first !

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new data efficiency and background models
New Data, Efficiency and Background Models

Omit tips &

boundaries

~ 518K events L>0.93

LnL = -1564843.8, NDF 37953 c2/NDF = 1.135

data larger sample
Data – Larger Sample

~ 2M events L>0.70

LnL=-7708417.7, NDF 104598 c2/NDF = 1.09

slide3
Next
  • Make sure the isobar model fits work first !
  • Include I=2 (p+p+) amplitude
  • Allow P-wave magnitudes to float below Kh threshold?
  • Input LASS P-wave
  • Other ideas ?
i 2 p p amplitude
Data come from:

p+p  p+ p+ n (12.5 GeV/c)

Hoogland et al, Nucl. Phys. B69, 266 (1974)

p-d  p- p- p ps (9 GeV/c)

Durusov et al, Phys. Lett. B45, 517 (1973)

(Re-)Fit to form:

d02 = -aq / (bm2+cm4+dm6)

Achasov and Shestakov, Phys. Rev. D67, 114018 (2003)

Then assume amplitude is unitary up to rr threshold:

A2= ei d02 sin d02

I=2 p+p+ Amplitude
data isobar model fit k k 0 1430 k 1 1410 k 1 1688 k 2 1420
Data – Isobar Model Fitk, K0(1430), K1(1410), K1(1688), K2(1420)

All K* states (+ k!)

Best isobar model fit

~ 2M events L>0.70

LnL=-8114132.0, NDF 108158 c2/NDF = 1.137

data isobar model fit k k 0 1430 k 1 1410 k 1 1688 k 2 14201
Data – Isobar Model Fitk, K0(1430), K1(1410), K1(1688), K2(1420)

No K1*(1410)

2nd best isobar model fit

~ 2M events L>0.70

LnL=-8112686.3, NDF 108160 c2/NDF = 1.152

data isobar model fit k k 0 1430 k 1 1410 k 1 1688 k 2 14202
Data – Isobar Model Fitk, K0(1430), K1(1410), K1(1688), K2(1420)

No K2*(1420)

Worst isobar model fit

~ 2M events L>0.70

LnL=-8105548.8, NDF 108160 c2/NDF = 1.229

data isobar model fit k k 0 1430 k 1 1410 k 1 1688 k 2 14203
Data – Isobar Model Fitk, K0(1430), K1(1410), K1(1688), K2(1420)

Include I = 2p+p+

Equal to best isobar model fit

~ 2M events L>0.70

LnL=-8114132.0, NDF 108160 c2/NDF = 1.137

p wave magnitude
P-Wave Magnitude
  • It is necessary to define a reference phase everywhere in the Dalitz plot
    • Define P-wave phase as that appropriate for the K*(890) Breit-Wigner from threshold up to Kh threshold.
    • The cross channel just overlaps this range
  • It is also necessary to define a magnitude scale.
    • Set this to 1.0 at the K*(890) pole.
  • It is not necessary to fix the magnitudes to follow the K*(890) Breit-Wigner
data float p wave magnitudes
Data – Float P-wave Magnitudes

~ 2M events L>0.70

LnL=-7708543.2, NDF 104590 c2/NDF = 1.088