2012arXiv (Cornell University)Open access

Improved Systematic of pp Elastic Scattering Data

V. Uzhinsky, Aida Galoyan

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Abstract

Unified systematic of elastic scattering data (USESD) proposed by the authors (arxiv:1111.4984 [hep-ph]) is based on symmetrized 2-dimensional Fermi distribution for pp elastic scattering amplitude in the impact parameter representation. It allows to describe differential cross sections of the reactions up to |t| ~ 1.75 (GeV/c)$^2$. To extend it to higher |t| values we consider a two coherent exponential parametrization of the cross sections and show that it cannot describe the cross sections at small |t| at $P_{lab}>$ 10 GeV/c. We extract a description of high |t| region from the parameterization and couple it with USESD. As a result, we obtained a good description of all pp elastic scattering data at $P_{lab}>$ 10 GeV/c. It can be easily used in Glauber Monte Carlo codes for calculations of nucleus-nucleus interaction properties.

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Unified systematic of elastic scattering data (USESD) proposed by the authors (arxiv:1111.4984 [hep-ph]) is based on symmetrized 2-dimensional Fermi distribution for pp elastic scattering amplitude in the impact parameter representation. It allows to describe differential cross sections of the reactions up to |t| ~ 1.75 (GeV/c)$^2$. To extend it to higher |t| values we consider a two coherent exponential parametrization of the cross sections and show that it cannot describe the cross sections at small |t| at $P_{lab}>$ 10 GeV/c. We extract a description of high |t| region from the parameterization and couple it with USESD. As a result, we obtained a good description of all pp elastic scattering data at $P_{lab}>$ 10 GeV/c. It can be easily used in Glauber Monte Carlo codes for calculations of nucleus-nucleus interaction properties.

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Available abstract

Unified systematic of elastic scattering data (USESD) proposed by the authors (arxiv:1111.4984 [hep-ph]) is based on symmetrized 2-dimensional Fermi distribution for pp elastic scattering amplitude in the impact parameter representation. It allows to describe differential cross sections of the reactions up to |t| ~ 1.75 (GeV/c)$^2$. To extend it to higher |t| values we consider a two coherent exponential parametrization of the cross sections and show that it cannot describe the cross sections at small |t| at $P_{lab}>$ 10 GeV/c. We extract a description of high |t| region from the parameterization and couple it with USESD. As a result, we obtained a good description of all pp elastic scattering data at $P_{lab}>$ 10 GeV/c. It can be easily used in Glauber Monte Carlo codes for calculations of nucleus-nucleus interaction properties.

Key concepts: Glauber, Elastic scattering, Parametrization (atmospheric modeling), Physics, Scattering, Representation (politics), Fermi Gamma-ray Space Telescope, Monte Carlo method

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