S-P wave phase shift extraction procedure in D + K - π + e + ν decay channel ( & c.c.) with BaBar João Costa, LAL Orsay

Size: px

Start display at page:

Download "S-P wave phase shift extraction procedure in D + K - π + e + ν decay channel ( & c.c.) with BaBar João Costa, LAL Orsay"

Clinton Greer
5 years ago
Views:

1 S-P wave hae hift extraction rocedure in D + - π + e + ν decay channe ( & c.c. with BaBar João Cota, LAL Oray LNF Sring Schoo Bruno Touchek

2 What are you going to hear now? S P wave hift? How ha thi hae hift been meaured unti now Some aect of thee meaurement My anayi: BaBar Signaeection How do extract the S P wave hae with a emietonic decay channe What do ee ( for the moment João Cota, 5 Mai 007, Fracati ring choo

3 S-P wave hae hift What i the π S wave i ti an oen quetion (800? *0 430 κ NR? S wave: J 0 The undertanding of the origin of S wave in π ytem i imortant becaue π fina tate aear in evera anaye in B and D decay ex: : B π π t aow the meaurement of S wave cattering ength mortant tet of χpt João Cota, 5 Mai 007, Fracati ring choo 3

{3 {3 } } 3 3 3 Scattering π + (LASS + π n Semietonic

4 How ha the S wave hae been tudied unti now 3 tye of exeriment have been ued: Daitz D + - π + π +, (E79 3 { } {3 {3 } } Scattering π + (LASS + π n Semietonic decay of D + (FOCUS,CLEO C João Cota, 5 Mai 007, Fracati ring choo 4

5 Some aect of thee meaurement LASS: Mot information of π come from thi ex. No data at ow energie (m π >0.85 GeV/c Daitz: Large tatitic meaurement at ow m π vaue S-wave comatibe with NR contribution and *0 (430 Their bet fit to data incude a κ(800 reonance João Cota, 5 Mai 007, Fracati ring choo 5

6 Some aect of thee meaurement FOCUS/CLEO C: Ony hadron are,π Senitive to the interference between S wave and P wave at ow invariant ma vaue 4 body decay 5 indeendent variabe: π invariant ma (m π, q, 3 ange: FOCUS ha around 8000 event CLEO C ha 800 event João Cota, 5 Mai 007, Fracati ring choo 6

7 Some aect of thee meaurement FOCUS FOCUS They find a good comatibiity with a NR S wave with a contant vaue for the hae veru m π João Cota, 5 Mai 007, Fracati ring choo 7

8 Aymetric e + e coider BaBar c.m. energy of 0.6 GeV Enormou charm factory - π + BB D + e + cc e - e + D João Cota, 5 Mai 007, Fracati ring choo 8

inear combination of variabe which have a different behaviour for igna and for

9 Signa eection We ue a uminoity of 00fb Background remova baed on the ue of Fiher dicriminant variabe with the BaBar generic MC: Fiher dicriminant i a inear combination of variabe which have a different behaviour for igna and for background hh0 variabe BBbar Fiher dicriminant João Cota, 5 Mai 007, Fracati ring choo 9

10 Signa eection reco D momentum D fight ignificance CCbar Fiher dicriminant bkg cc igna B 0 -B 0bar ud B + B - João Cota, 5 Mai 007, Fracati ring choo 0

11 Phae hift extraction We foow the formaim of Cabibbo & Makymowicz d P P 5 π * Γ P π P * ( m π, q, χ,coθ,coθ d momentum of ( π ytem in D c. m. momentum of in ( π c. m. 5 x θ + inθ in χ in θ co χ + in(θ in χ in(θ co χ + in θ in(χ 5 inθ co χ + 6 coθ i π i (co θ, m, q Partia wave anayi (we conider ony S and P wave João Cota, 5 Mai 007, Fracati ring choo

12 Thee are the term in which are enitive to the interference between the S P wave 3 ( F + in θ F + F Re m m F * ( F F in * ( F F3 inθ * ( F F inθ * ( F F3 inθ Re in θ Phae hift extraction θ ( F + F 3 F F e iφ + F e iφ θ F F e iφ F 3 F 3 e iφ F ij F ij (m π,q João Cota, 5 Mai 007, Fracati ring choo

Phae hift extraction f we roject our data veru the θ variabe: There i a arge effect but it deend not ony of the S P hae hift a it i roortiona ao to the amitude of S and P wave and to

13 Phae hift extraction f we roject our data veru the θ variabe: There i a arge effect but it deend not ony of the S P hae hift a it i roortiona ao to the amitude of S and P wave and to the form factor. bkg cc igna Co(θ DATA MC P wave We ee an aymetry ike FOCUS FOCUS ~ 50 k data igna event dq dm π dχd coθ ( + θ dq dmπ dχd co θ João Cota, 5 Mai 007, Fracati ring choo 3

14 João Cota, 5 Mai 007, Fracati ring choo 4 WefoowtheideaofPai & Treiman: < i > can be meaured by taking moment of different anguar variabe over the differentia decay rate: Phae hift extraction in( 8 in( F F F F F F F F π π π π ( tan in( in( d d d dq d d d dq χ θ θ χ χ θ θ χ θ

15 What do ee ( for the moment Conidering a tyica Breit Wigner for the *0 we find: * *0 BW hae o S-P hae hift (BaBar data S - P m π And ubtracting the P wave hae in our data: * La S-wave exreion o S- wave (BaBar data m π João Cota, 5 Mai 007, Fracati ring choo 5

16 Concuion So: With thi channe we don t have extra hadron and we have a direct acce to the π ytem We ue an aroach which aow a direct meaurement of the hae hift between S P wave which require no reviou knowedge of the q deendence of form factor Encouraging reut are obtained with 00 fb. We have avaiabe 5 time thi data aready. Lot of tet ti to be done before ditributing thee meaurement. Exect reut oon. João Cota, 5 Mai 007, Fracati ring choo 6

& & #!" # BABAR $ % Belle Conversano - 15 June 03

& & #! # BABAR $ % Belle Conversano - 15 June 03 & & # ' (!" # BABAR $ % Belle QC@Work Converano - 15 June 3 Outline c )) & '# )', - "#'(" '&, " (/) ' %( (&, "."##(" Spectrocopy of c tate Potential model of [heavy-quark light-quark] meon have had o far