Martin Block Northwestern University
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April 4-11, 2003 Frascati Phot on 2003 [email protected] 1 Nucleon-nucleon, p and scattering using factorization: the Aspen Model and analytic amplitude analysis Martin Martin Block Block Northwester Northwester n n University University
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Martin Block Northwestern University. Nucleon-nucleon, g p and gg scattering , using factorization: the Aspen Model and analytic amplitude analysis. Outline. - PowerPoint PPT Presentation
Transcript of Martin Block Northwestern University
April 4-11, 2003 Frascati Photon 2003
Nucleon-nucleon, p and scatteringusing factorization: the Aspen Model and analytic amplitude
analysis
Martin BlockMartin Block
Northwestern Northwestern UniversityUniversity
April 4-11, 2003 Frascati Photon 2003
Outline• Part I: fitting tot, values and B, nuclear
slopes of accelerator data--p-p and pbar-p--using a QCD-inspired model (Aspen Model) M.M. Block, E.M. Gregores, F. Halzen & G. Pancheri
• Part II: global fit using both cosmic ray and accelerator data simultaneously
M.M. Block, F. Halzen & T. Stanev
• Part III: predictions of forward scattering parameters for LHC (14 TeV)---tot, elastic, , and B
April 4-11, 2003 Frascati Photon 2003
• Part IV-The factorization hypothesis: relating n-n, p and collisionsM. M. Block and A. B. Kaidalov
• Part V-Experimental evidence for factorization, quark counting and vector dominance in n-n, p and collisions, using the Aspen Model M. M. Block, F. Halzen, A .B. Kaidalov and G. Pancheri
• Part VI-Experimental evidence for factorization, using real analytical amplitudes, for n-n, p and collisions M. M. Block and K. Kang
April 4-11, 2003 Frascati Photon 2003
Part I: fitting tot, values and B, nuclear slopes, of accelerator data--p-p and pbar-p-- using a QCD-inspired model (Aspen Model)
Eduardo, Martin, Francis
3 of 4 authors working hard!
Giulia, #4 author
M.M. Block, E.M. Gregores, F. Halzen
& G. Pancheri
April 4-11, 2003 Frascati Photon 2003
Results of the 2 Fit to and B data from pp and pbar-p
vs. energy vs. energy
B vs. energy
April 4-11, 2003 Frascati Photon 2003
Part II: global fit using both cosmic ray and accelerator data simultaneously
M.M. Block, F. Halzen & T. Stanev
Todor Todor thinking?thinking?
Francis Francis wearing wearing money money tie (for tie (for ICE ICE CUBE?)CUBE?)
April 4-11, 2003 Frascati Photon 2003
1e+1 1e+2 1e+3 1e+4 1e+5
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s, in GeV
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AGASA Air Shower Data
Fly's Eye Air Shower Data
(pbar-p)(pp)
The The publishedpublished cosmic ray data cosmic ray data (the Diamond and Triangles) (the Diamond and Triangles) are the problemare the problem
Accelerator data give good fit
April 4-11, 2003 Frascati Photon 2003
Fig. 7 Xmax distribution with exponential trailing edge
Monte Carlo Example
EXPERIMENTAL PROCEDURE
Fly’s Eye Shower Profile
Fig. 1 An extensive air shower that survives all data cuts. The curve is a Gaisser-Hillas shower-development function: shower parameters E=1.3 EeV and Xmax =727 ± 33 g cm-2 give the best fit.
April 4-11, 2003 Frascati Photon 2003
Extraction of tot(pp) from Cosmic Ray Extensive Air Showers
April 4-11, 2003 Frascati Photon 2003
Published Fly’s Eye Result:
tot(p-air) = 540 ± 50 mb, at 30 TeV
tot(pp), in mb
40 50 60 70 80 90 100 110 120 130 140 150 160
B, i
n (G
eV/c
)-2
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40440 mb
440 mb
490 mb
490 mb 540 mb
540 mb
590 mb
590 mb
640 mb
See R. Engel
et al,
Phys. Rev. D58,
014019 (1998),
for tot(p-air)
curves, using
Glauber theory
April 4-11, 2003 Frascati Photon 2003
vs. energy
Result of Global fit for tot(pp) and tot(pbar-p), using
both Accelerator and Cosmic Ray Data
April 4-11, 2003 Frascati Photon 2003
Alexei
Consequences of the Factorization Hypothesis in
nucleon-nucleon, -p and Collisions,
M. M. Block, Northwestern University
A. B. Kaidalov, Moscow University
April 4-11, 2003 Frascati Photon 2003
Does factorization depend on using a dipole-dipole form factor?
Could we also use a monopole-monopole for , with a monopole-dipole for -p?
April 4-11, 2003 Frascati Photon 2003
dipole-dipole
dipole-monopole
monopole-monopole
set <b2>nn = <b2>
Fourier transforms
yields energy –independent relation: /2
April 4-11, 2003 Frascati Photon 2003
nn uses dipole-dipole, p uses monopole-dipole, uses monopole-monopole
Total cross section and the ratio of elastic to total cross section
April 4-11, 2003 Frascati Photon 2003
Kyungsik Kang,
In
Paris
To test factorization, we will utilize real analytical amplitudes
Part VI: Experimental evidence for factorization, using real analytical amplitudes, for n-n, p and collisions M. M. Block and K. Kang
April 4-11, 2003 Frascati Photon 2003
[email protected] 5010 100
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L3, using PHOJETOPAL, using PHOJET
OPAL, using PYTHIAL3, using PYTHIA
, using either PHOJET or PYTHIA--data are from L3 and OPAL
M. Acciari et al, Phys. Lett. B519, 33 (2001),G. Abbiendi et al, Eur. Phys. J. C14 ,199 (2000).
April 4-11, 2003 Frascati Photon 2003
10 100 1000 100000
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pppbar-p
pp, log2(s) analytic amplitude fit
pbar-p, log2(s) analytic amplitude fit
s, in GeV
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pp , pbar-p vs. s
April 4-11, 2003 Frascati Photon 2003
pp , pbar-p vs. s
s, in GeV
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-0.3
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pppbar-p
pp, log2(s) analytic amplitude fit
pbar-p, log2(s) analytic amplitude fit
April 4-11, 2003 Frascati Photon 2003
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p,
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p=(2/3*Phad)nn
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-p =(2/3*Phad)nn
April 4-11, 2003 Frascati Photon 2003
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OPAL, using PHOJET, renormalized L3, using PHOJET, renormalized
Phad)2nn
s, in GeV
curve: =(2/3*Phad)2 nn
data: L3 and OPAL, renormalized by factor 0.929, using PHOJET
April 4-11, 2003 Frascati Photon 2003
solid line: nn=p=
dotted line: nn from QCD-Inspired Fit (Aspen Model)
