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

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Presentation on theme: "T. Csörgő1, R. J. Glauber2, F. Nemes1 , J. Velasco3"— Presentation transcript:

1 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, Hungary 2 Harvard University, Cambridge, MA, USA 3 IFIC, University of Valencia, Valencia, Spain

2 Introduction to Diffraction Glauber-Velasco model Some Old-New Results
Non-exponential behaviour of ds/dt at low-t Analysis of TOTEM/LHC 7 TeV New results, generalized Glauber & Velasco Imaging with shadow profile functions from ISR to LHC Summary arxiv: arxiv:

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

4 Glauber and Matthiae, NPB21 (1970) 135
Diffraction in pA, Glauber and Matthiae, NPB21 (1970) 135 Diffractive proton scattering on nuclei confirms the charge density distributions of spherical nuclei

5 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)

6 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 limit arxiv: BEL effect expected: proton becomes Blacker, Edgier, Larger, with increasing √s

7 Glauber – Velasco model summary
F(t): f. sc. amplitude W(b): opacity, complex f(t): cluster averaged parton-parton scattering amplitude -t = q2: momentum transfer b: impact parameter ds/dt: diff. cross-section elastic pp scattering R.J. Glauber and J.Velasco Phys. Lett. B147 (1987) 380 BSWW EM form factors GE

8 First results @ Low-X 2013: GV works for ds/dt dip
Glauber-Velasco (GV) (original) describes ds/dt data Both at ISR and in the dip region arxiv: Note: at low-t GV is ~ exponential Really? Lower energies?

9 News in 2014: non-exponential at low-t
TOTEM preliminary see S. Giani’s talk similar to non-Gaussian features of HBT correlations

10 Non-exponential at low-t, details
TOTEM preliminary see S. Giani’s talk similar to non-Gaussian features of HBT correlations

11 Glauber and Velasco, PLB147 (1984) 380
Diffraction in ISR, Glauber and Velasco, PLB147 (1984) 380 Glauber and Velasco, Phys. Lett. B147 (1984) 380 Glauber and Velasco, IFIC preprint, 1996, unpublished Illustration: elastic pp at the ISR energy range 13.7 – 62.7 GeV well described by Glauber-Velasco

12 Glauber and Velasco, PLB147 (1984) 380
_ Diffraction in ISR Glauber and Velasco, PLB147 (1984) 380 Glauber and Velasco, Phys. Lett. B147 (1984) 380 Glauber and Velasco, IFIC preprint, 1996, unpublished _ _ Illustration: elastic pp at the SppS energy range GeV well described by Glauber-Velasco

13 Non-exponential pp in GV model
_ Non-exponential pp in GV model Figure 4 from Glauber-Velasco PLB 147 (1984) 380 Slope is not quite exponential (for femtoscopy: a non-Gaussian behaviour)

14 Imaging with shadow profile
Glauber and Velasco, Phys. Lett. B147 (1984) 380 Glauber and Velasco, IFIC preprint, 1996, unpublished

15 Saturation from shadow profiles
at 7 TeV proton becomes Blacker, but NOT edgier, and Larger BEL BNeL effect apparent saturation: proton is ~ black at LHC up to r ~ 0.7 fm ISR and SppS: R.J. Glauber and J.Velasco Phys. Lett. B147 (1987) 380 b1,b2 fixed see also Lipari and Lusignoli arXiv: Kohara, Ferreira, Kodama arXiv:

16 BNeL effect proton becomes Blacker, but NOT edgier, and Larger
This work see also Lipari and Lusignoli arXiv: Kohara, Ferreira, Kodama arXiv:

17 Shadow imaging in p+p at ISR
Opacity expansion of order n: exp(-W) = 1- W + W2/2! - ... Proton image: gray (n=1) edge, dark (n~3) center

18 Shadow imaging in p+p at LHC
Simple choice for the generalization of GV: f(t)/f(0) = exp(i b1 |t| + i b2 |t|2 ) / sqrt( 1 + a t) sqrt( 1 + a|t| + a1 |t|2 + a2 |t|3 + …) More systematic expansions and further improvements are under investigation. Opacity expansion of order n: exp(-W) = 1-W + W2/2! - ... Proton at 7 TeV: gray (n=1) edge, very dark (n ≥ 4) center

19 Picture of proton Investigation of Glauber-Velasco model
works well in the dip region at LHC but needs extension in low-t TOTEM: non-exponential behaviour geometric scaling but not in the Black Disc limit generalized Glauber-Velasco works well at low-t also at dip-t, but … from BEL to BneL effect Grey at r~ 1 fm, black up to r~0.7 fm

20 Shadow imaging in p+p at LHC
The BnEL effect. Thank You!

21 Summary Collectivity in Collision in Kolymbari C2K
65th birthday of László Csernai 65 L C2K = 65 L Happy Birthday !

22 Backup slides

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

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

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

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

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

28 Figures from (1) Glauber and Velasco, Harvard Print , PLB 147(1984) 380 and (2) Glauber and Velasco, IFIC preprint, 1996, unpublished Figure 3 from (1)

29 Figures from (1) Glauber and Velasco, Harvard Print , PLB 147(1984) 380 and (2) Glauber and Velasco, IFIC preprint, 1996, unpublished Figure 4 from (1)

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

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

32 Figures from (1) Glauber and Velasco, Harvard Print , PLB 147(1984) 380 and (2) Glauber and Velasco, IFIC preprint, 1996, unpublished Figure 3 from (2)

33 Figures from (1) Glauber and Velasco, Harvard Print , PLB 147(1984) 380 and (2) Glauber and Velasco, IFIC preprint, 1996, unpublished Figure 4 from (2)

34 Figures from (1) Glauber and Velasco, Harvard Print , PLB 147(1984) 380 and (2) Glauber and Velasco, IFIC preprint, 1996, unpublished Figure 5 from (2)

35 Figures from (1) Glauber and Velasco, Harvard Print , PLB 147(1984) 380 and (2) Glauber and Velasco, IFIC preprint, 1996, unpublished Figure 6 from (2)

36 Figures from (1) Glauber and Velasco, Harvard Print , PLB 147(1984) 380 and (2) Glauber and Velasco, IFIC preprint, 1996, unpublished Figure 7 from (2)

37 Figures from (1) Glauber and Velasco, Harvard Print , PLB 147(1984) 380 and (2) Glauber and Velasco, IFIC preprint, 1996, unpublished Figure 8 from (2)

38 Figures from (1) Glauber and Velasco, Harvard Print , PLB 147(1984) 380 and (2) Glauber and Velasco, IFIC preprint, 1996, unpublished Figure 9 from (2)

39 Figures from (1) Glauber and Velasco, Harvard Print , PLB 147(1984) 380 and (2) Glauber and Velasco, IFIC preprint, 1996, unpublished Figure 10 from (2)

40 Figures from (1) Glauber and Velasco, Harvard Print , PLB 147(1984) 380 and (2) Glauber and Velasco, IFIC preprint, 1996, unpublished Figure 11 from (2)

41 Figures from (1) Glauber and Velasco, Harvard Print , PLB 147(1984) 380 and (2) Glauber and Velasco, IFIC preprint, 1996, unpublished Figure 12 from (2)

42 Figures from (1) Glauber and Velasco, Harvard Print , PLB 147(1984) 380 and (2) Glauber and Velasco, IFIC preprint, 1996, unpublished Figure 13 from (2)

43 Figures from (1) Glauber and Velasco, Harvard Print , PLB 147(1984) 380 and (2) Glauber and Velasco, IFIC preprint, 1996, unpublished Figure 14 from (2)

44 Figures from (1) Glauber and Velasco, Harvard Print , PLB 147(1984) 380 and (2) Glauber and Velasco, IFIC preprint, 1996, unpublished Figure 15 from (2)

45 Figures from (1) Glauber and Velasco, Harvard Print , PLB 147(1984) 380 and (2) Glauber and Velasco, IFIC preprint, 1996, unpublished Figure 16 from (2)

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