Excitation function of elastic pp scattering from a unitarily extended Bialas-Bzdak model

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

The Bialas-Bzdak model of elastic proton-proton scattering assumes a purely imaginary forward scattering amplitude, which consequently vanishes at the diffractive minima. We extended the model to arbitrarily large real parts in a way that constraints from unitarity are satisfied. The resulting model is able to describe elastic pp scattering not only at the lower ISR energies but also at $\sqrt{s} = 7∼{\rm TeV}$ in a statistically acceptable manner, both in the diffractive cone and in the region of the first diffractive minimum. The total cross-section as well as the differential cross-section of elastic proton-proton scattering is predicted for the future LHC energies of $\sqrt{s} = 13$, 14, 15 TeV and also to 28 TeV. A nontrivial, significantly nonexponential feature of the differential cross-section of elastic proton-proton scattering is analyzed and the excitation function of the nonexponential behavior is predicted. The excitation function of the shadow profiles is discussed and related to saturation at small impact parameters.

Original language English 1550076 International Journal of Modern Physics A 30 14 https://doi.org/10.1142/S0217751X15500761 Published - May 20 2015

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proton scattering
elastic scattering
protons
cross sections
excitation
forward scattering
scattering amplitude
cones
saturation
energy
profiles

Keywords

• Black-disk
• Diquark
• Eikonal model
• Elastic scattering
• Glauber model
• ISR
• LHC
• Proton-proton collision
• Quark
• Total cross-section
• TOTEM

ASJC Scopus subject areas

• Atomic and Molecular Physics, and Optics
• Nuclear and High Energy Physics
• Astronomy and Astrophysics

Cite this

In: International Journal of Modern Physics A, Vol. 30, No. 14, 1550076, 20.05.2015.

Research output: Contribution to journalArticle

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abstract = "The Bialas-Bzdak model of elastic proton-proton scattering assumes a purely imaginary forward scattering amplitude, which consequently vanishes at the diffractive minima. We extended the model to arbitrarily large real parts in a way that constraints from unitarity are satisfied. The resulting model is able to describe elastic pp scattering not only at the lower ISR energies but also at $\sqrt{s} = 7∼{\rm TeV}$ in a statistically acceptable manner, both in the diffractive cone and in the region of the first diffractive minimum. The total cross-section as well as the differential cross-section of elastic proton-proton scattering is predicted for the future LHC energies of $\sqrt{s} = 13$, 14, 15 TeV and also to 28 TeV. A nontrivial, significantly nonexponential feature of the differential cross-section of elastic proton-proton scattering is analyzed and the excitation function of the nonexponential behavior is predicted. The excitation function of the shadow profiles is discussed and related to saturation at small impact parameters.",
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AU - Csörgő, T.

AU - Csanád, M.

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N2 - The Bialas-Bzdak model of elastic proton-proton scattering assumes a purely imaginary forward scattering amplitude, which consequently vanishes at the diffractive minima. We extended the model to arbitrarily large real parts in a way that constraints from unitarity are satisfied. The resulting model is able to describe elastic pp scattering not only at the lower ISR energies but also at $\sqrt{s} = 7∼{\rm TeV}$ in a statistically acceptable manner, both in the diffractive cone and in the region of the first diffractive minimum. The total cross-section as well as the differential cross-section of elastic proton-proton scattering is predicted for the future LHC energies of $\sqrt{s} = 13$, 14, 15 TeV and also to 28 TeV. A nontrivial, significantly nonexponential feature of the differential cross-section of elastic proton-proton scattering is analyzed and the excitation function of the nonexponential behavior is predicted. The excitation function of the shadow profiles is discussed and related to saturation at small impact parameters.

AB - The Bialas-Bzdak model of elastic proton-proton scattering assumes a purely imaginary forward scattering amplitude, which consequently vanishes at the diffractive minima. We extended the model to arbitrarily large real parts in a way that constraints from unitarity are satisfied. The resulting model is able to describe elastic pp scattering not only at the lower ISR energies but also at $\sqrt{s} = 7∼{\rm TeV}$ in a statistically acceptable manner, both in the diffractive cone and in the region of the first diffractive minimum. The total cross-section as well as the differential cross-section of elastic proton-proton scattering is predicted for the future LHC energies of $\sqrt{s} = 13$, 14, 15 TeV and also to 28 TeV. A nontrivial, significantly nonexponential feature of the differential cross-section of elastic proton-proton scattering is analyzed and the excitation function of the nonexponential behavior is predicted. The excitation function of the shadow profiles is discussed and related to saturation at small impact parameters.

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KW - Quark

KW - Total cross-section

KW - TOTEM

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