# Nucleon Structure and Spin Effects in Elastic Hadron Scattering

## Abstract

**:**

## 1. Introduction

## 2. Coulomb-Nucleon Phase Factor

## 3. Nucleon Form Factors and GPDs

## 4. Extension of the HEGS Model with the Spin-Flip Amplitude

## 5. Conclusions

## Funding

## Institutional Review Board Statement

## Informed Consent Statement

## Data Availability Statement

## Acknowledgments

## Conflicts of Interest

## References

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**Figure 1.**The model description of the ratio of the electromagnetic form factors for the proton ${\mu}_{p}{G}_{E}^{p}/{G}_{M}^{p}$ with different forms of PDFs [65] (

**left**), and for the neutron ${\mu}_{n}{G}_{E}^{n}/{G}_{M}^{n}$ (

**right**).

**Figure 2.**The fit of the form factors of the proton: (

**left**), the electromagnetic form factor $G(t)$ and and (

**right**) the matter form factor $A(t)$. The circles are the moments of the GPDs (only every tenth point is shown).

**Figure 3.**$d\sigma /dt$ for $pp$ (

**left**) at $\sqrt{s}=9.8$ GeV and $p\overline{p}$ (

**right**) at $\sqrt{s}=11.4$ GeV (lines—the model calculatios, points—the experimental data [74]).

**Figure 4.**The model calculation of the diffraction minimum in $d\sigma /dt$ of $pp$ scattering at $\sqrt{s}=9.23$, 13.76, 30.4 GeV; lines-the model calculations (shirt dash, long dash and solid; circles and triangles-the experimental data at 13.4 and 30.7 GeV [74]).

**Figure 8.**(

**left**) The calculated size of the spin correlation parameter ${A}_{N}(s,t)$ at high energies $\sqrt{s}=50,\phantom{\rule{4pt}{0ex}}100,\phantom{\rule{4pt}{0ex}}500\phantom{\rule{4pt}{0ex}}$GeV. (

**right**) the s-dependence of ${A}_{N}(s,t)$ at different fixed ${t}_{i}=0.001,\phantom{\rule{4pt}{0ex}}0.1,\phantom{\rule{4pt}{0ex}}0.4,1.0,1.5\phantom{\rule{4pt}{0ex}}$ GeV (solid, dots, short dash, dot-dot-dash and long-dash lines, respectively).

**Figure 9.**(

**left**) The ratio of the imaginary parts of the spin-flip amplitude and spin-non-flip amplitude; (

**right**) the ratio of the real parts of the spin-flip amplitude and spin-non-flip amplitudes (lines-dashed, dots, and solid correspond to $\sqrt{s}=9.23,\phantom{\rule{4pt}{0ex}}19.4,\phantom{\rule{4pt}{0ex}}30.7\phantom{\rule{4pt}{0ex}}$GeV).

**Figure 10.**Impact parameter representation of the spin-nonflip and spin-flip amplitude at $\sqrt{s}=30$ GeV ($b(1-exp(-{\chi}_{nf}))$—dashed line), and ($b({\chi}_{sf}\phantom{\rule{4pt}{0ex}}exp(-{\chi}_{nf}))$—hard line).

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Selyugin, O.
Nucleon Structure and Spin Effects in Elastic Hadron Scattering. *Symmetry* **2021**, *13*, 164.
https://doi.org/10.3390/sym13020164

**AMA Style**

Selyugin O.
Nucleon Structure and Spin Effects in Elastic Hadron Scattering. *Symmetry*. 2021; 13(2):164.
https://doi.org/10.3390/sym13020164

**Chicago/Turabian Style**

Selyugin, Oleg.
2021. "Nucleon Structure and Spin Effects in Elastic Hadron Scattering" *Symmetry* 13, no. 2: 164.
https://doi.org/10.3390/sym13020164