Dependence of elastic hadron collisions on impact parameter

Procházka, J.; Lokajíček, M.; Kundrát, V.

doi:10.1140/epjp/i2016-16147-x

Cited by 16 publications

(18 citation statements)

References 53 publications

(154 reference statements)

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…We see that we are still very far from having right to neglect the proper sizes of the colliding protons.This means that we have to modify our expressions with including the proton electric form factors F(q 2 ) in the Coulomb eikonal phase. Actually these form factors can be identified with "effective form factors" as was introduced in [14]. We have now…”

Section: Account Of the Form Factorsmentioning

confidence: 99%

Once more on Coulomb-nuclear interference

Petrov

2018

Eur. Phys. J. C

View full text Add to dashboard Cite

show abstract

Section: Account Of the Form Factorsmentioning

confidence: 99%

Once more on Coulomb-nuclear interference

Petrov

2018

Eur. Phys. J. C

View full text Add to dashboard Cite

show abstract

“…However, in an analysis of T8 the dominance of the square of the real amplitude in b-space in Ref. [32] was interpreted as periph- Table 4 Proposed values of parameters for the four datasets. The phase of the Coulomb interference is calculated with electromagnetic proton form factor as described in Appendix A.…”

Section: Discussionmentioning

confidence: 99%

Elastic amplitudes studied with the LHC measurements at 7 and 8 TeV

et al. 2017

View full text Add to dashboard Cite

Recent measurements of the differential cross sections in the forward region of pp elastic scattering at 7 and 8 TeV show the precise form of the t dependence. We present a detailed analysis of these measurements including the structures of the real and imaginary parts of the scattering amplitude. A good description is achieved, confirming in all experiments the existence of a zero in the real part in the forward region close to the origin, in agreement with the prediction of a theorem by Martin, with an important role in the observed form of dσ/dt. A universal value for the position of this zero and regularity in other features of the amplitudes are found, leading to quantitative predictions for the forward elastic scattering at 13 TeV. LHC experiments in elastic pp scatteringWith an enormous gap in the center-of-mass energy with respect to previous data in pp and pp scattering, the Totem and Atlas experimental groups at LHC have recently measured dσ/dt in the forward t ranges at √ s = 7 and 8 TeV [1][2][3][4][5]. These measurements offer a unique opportunity to investigate the behavior of p-p collisions at the highest energies reached in laboratory. A detailed and precise analysis of these data can establish a precious milestone for the understanding of the high energy behavior of p-p interactions. The datasets and their t ranges are listed in Table 1, where we use the obvious notation T7, T8, A7, A8 to specify Totem (T) and Atlas (A) Collaborations and center-of-mass energies 7 and 8 TeV.In order to build a bridge towards theoretical models aiming at the understanding of the dynamics, it is important that the analysis of these LHC data be made with identification of the structures of the individual parts of the complex scattering amplitude. The disentanglement of the two terms in the a e-mail: kendi@if.ufrj.br observed modulus dσ/dt is the crucial task. At each energy, parameterizations must search to exhibit clearly the properties of magnitudes, signs, slopes and zeros of the real and imaginary parts. External support, as dispersion relations and connections with analyses at other energies, gives important clues. The intervention of the electromagnetic interactions must be treated coherently with a proposed analytical form for the nuclear part, and account must be taken of phase of the Coulomb-Nuclear Interference (CNI), which is calculated in Appendix A.In the present work we perform a detailed examination of the data trying to satisfy these requirements. Each part of the amplitude is written with an exponential factor with a slope, multiplying a linear term in t, thus with three parameters. These analytical forms are sufficient to describe the properties of the nuclear parts. The six parameters for each dataset are studied using fits to data with appropriate statistical control. Correlations are studied, and resulting values are proposed for each dataset. Good description of the measurements is obtained, with details in the shape of the forward diffractive peak, exhibiting the zero of the real par...

show abstract

“…The result has followed mainly from the requirement of the dominance of the imaginary part of F N (s, t) in quite broad interval of t around t = 0 in the given models, see Sect. 5 in [24] and useful comments related to the hollowness in [25]. The fact that t-dependence of the phase of F N (s, t) matters for determination of characteristics of collisions in impact parameter space has been recently admitted in [26].…”

Section: Introductionmentioning

confidence: 99%

Eikonal model analysis of elastic proton–proton collisions at 52.8 GeV and 8 TeV

Procházka

Kundrát

2020

Eur. Phys. J. C

Self Cite

View full text Add to dashboard Cite

Under the influence of standardly used description of Coulomb-hadronic interference proposed by West and Yennie the protons have been interpreted as transparent objects; elastic events have been interpreted as more central than inelastic ones. It will be shown that using eikonal model the protons may be interpreted in agreement with usual ontological conception; elastic processes being more peripheral than inelastic ones. The corresponding results (differing fundamentally from the suggested hitherto models) will be presented by analyzing the most ample elastic data set measured at the ISR energy of 52.8 GeV and the LHC energy of 8 TeV. Detailed analysis of measured differential cross section will be performed and possibility of peripheral behavior on the basis of eikonal model will be presented. The impact of recently established electromagnetic form factors on determination of quantities specifying hadron interaction determined from the fits of experimental elastic data in the broadest region of momentum transfers will be analyzed.

show abstract

Dependence of elastic hadron collisions on impact parameter

Cited by 16 publications

References 53 publications

Once more on Coulomb-nuclear interference

Once more on Coulomb-nuclear interference

Elastic amplitudes studied with the LHC measurements at 7 and 8 TeV

Eikonal model analysis of elastic proton–proton collisions at 52.8 GeV and 8 TeV

Contact Info

Product

Resources

About