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Effects of the phase variation and high-order momentum transfer components of NN amplitude on p-\(^{\bf 4}\)He elastic scattering

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Abstract

Elastic scattering differential cross sections for a p-\(^4\)He system are calculated within the framework of optical limit approximation of the Glauber multiple scattering model. Three different ranges for proton energy (\(E_{\text {lab}}\)), \(19<E_{\text {lab}} < 50\) MeV, \(100 \le E_{\text {lab}} \le 1730\) MeV, and \(45 \le E_{\text {lab}} \le 393\) GeV are considered. It is shown that the Pauli blocking fails to describe the data up to the proton energy, \(E_{\text {lab}} < 100\) MeV. For higher proton energies, a qualitative agreement is obtained. The observed elastic scattering differential cross section is nicely reproduced in the whole range of scattering angles in the center of mass system up to \(\Theta _{\text {c.m.}} < {200}^{\circ }\) for \(19 <E_{\text {lab}} \le 100\) MeV when the effect of both the nucleon–nucleon (NN) phase variation parameter \(\gamma _{\text {NN}}\) and higher-order momentum transfer components (\(\lambda _n, n=1\) and 2) of (NN) elastic scattering amplitude is included. In the range of \(200 \le E_{\text {lab}} \le 1730\) MeV, introducing \(\lambda _n\) plays a significant role in describing the data up to the momentum transfer, \(q^2 \le 1.2\) (GeV/c)\(^2\). Moreover, it is found that considering only the effect of phase variation parameter, \(\gamma _{\text {NN}}\), improved the agreement in the region of minima for elastic scattering differential cross section for \(45 \le E_{\text {lab}} \le 393\) GeV. The values of \(\gamma _{\text {NN}}\) and \(\lambda _n\) as a function of incident proton energies are presented.

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Authors and Affiliations

  1. Nuclear Experimental Physics Department, Nuclear Research Center, Atomic Energy Authority, P.No. 13759, Cairo, Egypt

    I. M. A. Tag-Eldin

  2. Mathematics and Theoretical Physics Department, Nuclear Research Center, Atomic Energy Authority, P.No. 13759, Cairo, Egypt

    M. M. Taha & S. S. A. Hassan

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  1. I. M. A. Tag-Eldin
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Tag-Eldin, I.M.A., Taha, M.M. & Hassan, S.S.A. Effects of the phase variation and high-order momentum transfer components of NN amplitude on p-\(^{\bf 4}\)He elastic scattering. NUCL SCI TECH 29, 13 (2018). https://doi.org/10.1007/s41365-017-0346-0

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