Determination of the moments of the proton charge density
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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866929658356826112 |
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| author | Atoui, M. Barbaro, M. B. Hoballah, M. Keyrouz, C. Lassaut, M. Marchand, D. Quéméner, G. Voutier, E. |
| author_facet | Atoui, M. Barbaro, M. B. Hoballah, M. Keyrouz, C. Lassaut, M. Marchand, D. Quéméner, G. Voutier, E. |
| contents | A global analysis of proton electric form factor experimental data from Rosenbluth separation and low squared four-momentum transfer experiments is discussed for the evaluation of the spatial moments of the proton charge density based on the recently published integral method. Specific attention is paid to the evaluation of the systematic errors of the method, particularly the sensitivity to the choice of the mathematical expression of the form factor fitting function. Within this comprehensive analysis of proton electric form factor data, the moments of the proton charge density are determined for integer order moments, particularly: $\langle r^2 \rangle$=0.694(09)$_{Sta.}$(16)$_{Sys.}$~fm$^2$, $\langle r^3 \rangle$=0.870(46)$_{Sta.}$(80)$_{Sys.}$~fm$^3$, and $\langle r^4 \rangle$=1.47(25)$_{Sta.}$(45)$_{Sys.}$~fm$^4$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2304_13521 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Determination of the moments of the proton charge density Atoui, M. Barbaro, M. B. Hoballah, M. Keyrouz, C. Lassaut, M. Marchand, D. Quéméner, G. Voutier, E. Nuclear Experiment Nuclear Theory A global analysis of proton electric form factor experimental data from Rosenbluth separation and low squared four-momentum transfer experiments is discussed for the evaluation of the spatial moments of the proton charge density based on the recently published integral method. Specific attention is paid to the evaluation of the systematic errors of the method, particularly the sensitivity to the choice of the mathematical expression of the form factor fitting function. Within this comprehensive analysis of proton electric form factor data, the moments of the proton charge density are determined for integer order moments, particularly: $\langle r^2 \rangle$=0.694(09)$_{Sta.}$(16)$_{Sys.}$~fm$^2$, $\langle r^3 \rangle$=0.870(46)$_{Sta.}$(80)$_{Sys.}$~fm$^3$, and $\langle r^4 \rangle$=1.47(25)$_{Sta.}$(45)$_{Sys.}$~fm$^4$. |
| title | Determination of the moments of the proton charge density |
| topic | Nuclear Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2304.13521 |