T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard...

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MULTIPLE DIFFRACTION THEORY OF ELASTIC PP SCATTERING, WITH APPLICATIONS TO 7 TEV PP DATA T. Csörgő 1 , R. J. Glauber 2 , F. Nemes 1 , J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia, Valencia, Spain

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Diffraction – Hofstadter, Nobel (1961) Diffraction – Hofstadter, Nobel (1961) Diffractive electron scattering on nuclei and the resulting charge density distributions, images of spherical nuclei

Transcript of T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard...

Page 1: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

MULTIPLE DIFFRACTION THEORY OF ELASTIC PP SCATTERING, WITH APPLICATIONS TO 7 TEV PP DATA

T. Csörgő1, R. J. Glauber2, F. Nemes1 , J. Velasco3

1 Wigner RCP, Budapest, Hungary2 Harvard University, Cambridge, MA, USA3 IFIC, University of Valencia, Valencia, Spain

Page 2: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Introduction to DiffractionGlauber-Velasco modelSome Old-New Results

Non-exponential behaviour of ds/dt at low-t Analysis of TOTEM/LHC p+p @ 7 TeV

New results, generalized Glauber & Velasco

Imaging with shadow profile functionsfrom ISR to LHC

Summary

arxiv:1306.4217arxiv:1311.2308

http://arxiv.org/abs/arXiv:1204.5617
http://arxiv.org/abs/arXiv:1204.5617
Page 3: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Diffraction – Hofstadter, Nobel (1961)

Diffractive electron scattering on nuclei and the resulting charge density distributions, images of spherical nuclei

Page 4: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Diffraction in pA, Glauber and Matthiae, NPB21 (1970) 135

Diffractive proton scattering on nuclei confirms the charge density distributions of spherical nuclei

Page 5: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Diffraction – What have we learned?

• The volume of spherical nuclei is proportional to A• The surface thickness is constant, independent of A

→ Central charge density of large nuclei is approx constant R. Hofstadter, Nobel Lecture (1961)

Page 6: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

What have we learned since WPCF2013? tdip stot ~ C

geometric scaling at LHC

C = 54.8 ± 0.7 mbGeV2 (data)

C ≠ 35.9 mbGeV2

(black disc)

NOT in black disck limitarxiv:1311.2308

BEL effect expected:

proton becomesBlacker,Edgier,Larger,

with increasing √s

http://arxiv.org/abs/1311.2308
Page 7: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Glauber – Velasco model summary

BSWW EM form factors GE

R.J. Glauber and J.Velasco Phys. Lett. B147 (1984) 380

F(t): f. sc. amplitudeW(b): opacity, complex

f(t): cluster averaged parton-parton scattering amplitude

ds/dt: diff. cross-section elastic pp scattering

-t = q2: momentum transferb: impact parameter

Page 8: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

First results @ Low-X 2013: GV works for ds/dt dip

Glauber-Velasco (GV)(original)

describes ds/dt dataBoth at ISR andTOTEM@LHC

in the dip region

arxiv:1311.2308

Note: at low-tGV is ~ exponential

Really? Lower energies?

http://arxiv.org/abs/1311.2308
Page 9: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

News in 2014: non-exponential at low-t

TOTEM preliminarysimilar to non-Gaussian

features of HBT correlations

Page 10: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Non-exponential at low-t, details

TOTEM preliminarysimilar to non-Gaussian

features of HBT correlations

Page 11: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Diffraction in pp @ ISR, Glauber and Velasco, PLB147 (1984) 380

Illustration: elastic pp at the ISR energy range 13.7 – 62.7 GeV well described by Glauber-Velasco

Glauber and Velasco, IFIC preprint, 1996, unpublished

Glauber and Velasco, Phys. Lett. B147 (1984) 380

Page 12: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Diffraction in pp @ ISR Glauber and Velasco, PLB147 (1984) 380

Illustration: elastic pp at the SppS energy range 546-630 GeV well described by Glauber-Velasco

_

_ _

Glauber and Velasco, Phys. Lett. B147 (1984) 380

Glauber and Velasco, IFIC preprint, 1996, unpublished

Page 13: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Non-exponential pp in GV model

Figure 4 fromGlauber-Velasco

PLB 147 (1984) 380Slope is not quite

exponential

(for femtoscopy:a non-Gaussian behaviour)

_

Page 14: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Imaging with shadow profile

Glauber and Velasco, Phys. Lett. B147 (1984) 380

Glauber and Velasco, IFIC preprint, 1996, unpublished

Page 15: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

at 7 TeV

proton becomes

Blacker, butNOT edgier,and Larger

BEL BNeL effect

Saturation from shadow profiles

ISR and SppS:R.J. Glauber and J.Velasco

Phys. Lett. B147 (1987) 380 b1,b2 fixed

apparent saturation:proton is ~ black at LHC

up tor ~ 0.7 fm

see alsoLipari and Lusignoli arXiv:1305.7216

Kohara, Ferreira, Kodama arXiv:1408.1599

http://arxiv.org/abs/arXiv:1305.7216
http://arxiv.org/abs/arXiv:1408.1599
Page 16: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

proton becomes

Blacker, butNOT edgier,and Larger

BNeL effect

BNeL effect

This work

Lipari and Lusignoli arXiv:1305.7216 Kohara, Ferreira, Kodama arXiv:1408.1599see also

http://arxiv.org/abs/arXiv:1305.7216
http://arxiv.org/abs/arXiv:1408.1599
Page 17: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Shadow imaging in p+p at ISR

Proton image: gray (n=1) edge, dark (n~3) center

Opacity expansion of order n: exp(-W) = 1- W + W2/2! - ...

Page 18: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Shadow imaging in p+p at LHC

Proton at 7 TeV: gray (n=1) edge, very dark (n ≥ 4) center

Opacity expansion of order n: exp(-W) = 1-W + W2/2! - ...

Simple choice for the generalization of GV:f(t)/f(0) = exp(i b1 |t| + i b2 |t|2 ) /

sqrt( 1 + a t)f(t)/f(0) = exp(i b1 |t| + i b2 |t|2 ) / sqrt( 1 + a|t| + a1 |t|2 + a2 |t|3 + …)More systematic expansions and further improvements are under investigation.

Page 19: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Picture of proton Investigation of Glauber-Velasco model

works well in the dip region at LHCbut needs extension in low-t

TOTEM: non-exponential behaviour

geometric scalingbut not in the Black Disc limit

generalized Glauber-Velasco

works well at low-talso at dip-t, but …

from BEL to BNeL effect

Grey at r~ 1 fm, black up to r~0.7 fm

Page 20: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Shadow imaging in p+p at LHC

The BNeL effect.Thank You!

Page 21: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Summary

Collectivity in Collision in KolymbariC2K

65th birthday of László Csernai65 L

C2K = 65 L

Happy Birthday !

Page 22: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Backup slides

Page 23: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Definitions and derivations from (1) Glauber and Velasco, Harvard Print 88-0344, Phys. Lett. B147 (1984) 380(2) Glauber and Velasco, IFIC preprint, 1996, unpublished

Multiple Diffraction Theory of Elastic proton-proton scattering

Page 24: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Multiple Diffraction Theory of Elastic proton-proton scattering: Glauber-Velasco

(1) Glauber and Velasco, Harvard Print 88-0344, Phys. Lett. B147 (1984) 380(2) Glauber and Velasco, IFIC preprint, 1996, unpublished

Page 25: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Multiple Diffraction Theory of Elastic proton-proton scattering: Glauber-Velasco(1) Glauber and Velasco, Harvard Print 88-0344, Phys. Lett. B147 (1984) 380(2) Glauber and Velasco, IFIC preprint, 1996, unpublished

Page 26: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Figure 1 from (1)

Figures from (1) Glauber and Velasco, Harvard Print 88-0344, PLB 147(1984) 380 and(2) Glauber and Velasco, IFIC preprint, 1996, unpublished

Page 27: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Figure 2 from (1)

Figures from (1) Glauber and Velasco, Harvard Print 88-0344, PLB 147(1984) 380 and(2) Glauber and Velasco, IFIC preprint, 1996, unpublished

Page 28: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Figure 3 from (1)

Figures from (1) Glauber and Velasco, Harvard Print 88-0344, PLB 147(1984) 380 and(2) Glauber and Velasco, IFIC preprint, 1996, unpublished

Page 29: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Figure 4 from (1)

Figures from (1) Glauber and Velasco, Harvard Print 88-0344, PLB 147(1984) 380 and(2) Glauber and Velasco, IFIC preprint, 1996, unpublished

Page 30: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Figure 1 from (2)

Figures from (1) Glauber and Velasco, Harvard Print 88-0344, PLB 147(1984) 380 and(2) Glauber and Velasco, IFIC preprint, 1996, unpublished

Page 31: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Figure 2 from (2)

Figures from (1) Glauber and Velasco, Harvard Print 88-0344, PLB 147(1984) 380 and(2) Glauber and Velasco, IFIC preprint, 1996, unpublished

Page 32: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Figure 3 from (2)

Figures from (1) Glauber and Velasco, Harvard Print 88-0344, PLB 147(1984) 380 and(2) Glauber and Velasco, IFIC preprint, 1996, unpublished

Page 33: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Figure 4 from (2)

Figures from (1) Glauber and Velasco, Harvard Print 88-0344, PLB 147(1984) 380 and(2) Glauber and Velasco, IFIC preprint, 1996, unpublished

Page 34: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Figure 5 from (2)

Figures from (1) Glauber and Velasco, Harvard Print 88-0344, PLB 147(1984) 380 and(2) Glauber and Velasco, IFIC preprint, 1996, unpublished

Page 35: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Figure 6 from (2)

Figures from (1) Glauber and Velasco, Harvard Print 88-0344, PLB 147(1984) 380 and(2) Glauber and Velasco, IFIC preprint, 1996, unpublished

Page 36: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Figure 7 from (2)

Figures from (1) Glauber and Velasco, Harvard Print 88-0344, PLB 147(1984) 380 and(2) Glauber and Velasco, IFIC preprint, 1996, unpublished

Page 37: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Figure 8 from (2)

Figures from (1) Glauber and Velasco, Harvard Print 88-0344, PLB 147(1984) 380 and(2) Glauber and Velasco, IFIC preprint, 1996, unpublished

Page 38: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Figure 9 from (2)

Figures from (1) Glauber and Velasco, Harvard Print 88-0344, PLB 147(1984) 380 and(2) Glauber and Velasco, IFIC preprint, 1996, unpublished

Page 39: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Figure 10 from (2)

Figures from (1) Glauber and Velasco, Harvard Print 88-0344, PLB 147(1984) 380 and(2) Glauber and Velasco, IFIC preprint, 1996, unpublished

Page 40: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Figure 11 from (2)

Figures from (1) Glauber and Velasco, Harvard Print 88-0344, PLB 147(1984) 380 and(2) Glauber and Velasco, IFIC preprint, 1996, unpublished

Page 41: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Figure 12 from (2)

Figures from (1) Glauber and Velasco, Harvard Print 88-0344, PLB 147(1984) 380 and(2) Glauber and Velasco, IFIC preprint, 1996, unpublished

Page 42: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Figure 13 from (2)

Figures from (1) Glauber and Velasco, Harvard Print 88-0344, PLB 147(1984) 380 and(2) Glauber and Velasco, IFIC preprint, 1996, unpublished

Page 43: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Figure 14 from (2)

Figures from (1) Glauber and Velasco, Harvard Print 88-0344, PLB 147(1984) 380 and(2) Glauber and Velasco, IFIC preprint, 1996, unpublished

Page 44: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Figure 15 from (2)

Figures from (1) Glauber and Velasco, Harvard Print 88-0344, PLB 147(1984) 380 and(2) Glauber and Velasco, IFIC preprint, 1996, unpublished

Page 45: T. Csörgő 1, R. J. Glauber 2, F. Nemes 1, J. Velasco 3 1 Wigner RCP, Budapest, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia,

Figure 16 from (2)

Figures from (1) Glauber and Velasco, Harvard Print 88-0344, PLB 147(1984) 380 and(2) Glauber and Velasco, IFIC preprint, 1996, unpublished


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