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A Tale of Two (Toy) Models

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1 A Tale of Two (Toy) Models
CERN Courier: July, 2007 Harry Lee, Dan Carman, Reinhard Schumacher, MM Two possible pictures of how spin is transferred from virtual photon to the L. Carman, MM: photon to u-quark; through s-sbar spin correlation to L. Schumacher: directly from photon to s-sbar to L. Problem: both consistent with data! How (else) to distinguish models?

2 Quark Pair Creation Quark-pair creation: “kernel” of exclusive production What field couples to the q-q current? s u K+ L d S ss produced From flux-tube s u d K+ L ss produced from photon

3 Using Exclusive Production to Study Quark Pair Creation
Lund model: successful phenomenology for hadron production; e.g. in e+e- reactions color flux-tube broken by qq production production rate depends on constituent quark mass : : ~ 1 : 1 : 0.2 Vector meson dominance: photon fluctuates into a virtual qq meson production rate depends on quark charge : : ~ 1: 0.25 : 0.25 uu dd ss uu dd ss

4 Distinguish Models Study ratios of s s : dd : uu
Measure ratios: K+L : p+n : p0p K+ L p+ n p0 p s d u s d u : : Ratio : exponential in quark mass

5 Distinguish Models Measure ratios: K+L : p+n : p0p L n p K+ p+ p0
: : Ratio : proportional to (charge)2

6 Missing Mass 2-body final state (n) p+ a P (p0) a 90k 420k 540k 480k
forward f Lab Angle g backward

7 K+ Missing Mass (L) K+ a “Fake” plots 50k 150k 45k 5k mis-identified
protons mis-identified pions forward f Lab Angle g backward

8 Limits of the “quark model” ?
Can the Lund model work in the limit of single qq pair production? recent analysis of a Hall C p+(n) production experiment Kaskulov, Gallmeister, Mosel; arXiv: v4 [hep-ph] model was developed to explain Rosenbluth separated exclusive electro-production of p+(n) a sL described well as t-channel exchange a sT described well as “quark-scattering followed by string-breaking” with Lund model parameters model also works for un-separated data

9 Exclusive np+: sum of two processes
sT: DIS via LUND model sL: t-channel exchange d u p+ n photon couples to quark photon probes meson structure t-channel no form factor: q2 independent form factor falls with q2

10 Analysis goals and plans
Model-independent goal measure ratio of p+n : p0p : K+L cross-sections proportional to uu : dd : ss rate Extend Kaskulov, Gallmeister, Mosel model extend to dd and ss production Analysis plan identify final states (done) decide on binning ( high/low bins for W, q2, t ) tune PYTHIA/JETSET (fitting and MC generator) Study single quark-pair creation

11 An interesting observation ….
For forward-going protons (qLAB < 200) : only recoil meson is the r0 ??

12 And the winner is …. Ratio: K+L : p+n : p0p 0.23 : 0.88 : 1.12
crude accepance correction done; kaon decay not corrected Ratio: K+L : p+n : p0p 0.23 : 0.88 : 1.12 errors ~ 20% ??


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