Charged current weak production of $Δ(1232)$ induced by electrons and positrons
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arXiv
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| Natura: | Preprint |
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2024
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| _version_ | 1866914863188541440 |
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| author | Fatima, A. Athar, M. Sajjad Singh, S. K. |
| author_facet | Fatima, A. Athar, M. Sajjad Singh, S. K. |
| contents | The charged current weak production of $Δ(1232)$ from the free proton target induced by the electron/positron in the intermediate energy range corresponding to the beam energy available at JLab and Mainz, has been studied. The results for the differential scattering cross section $\frac{dσ}{dQ^2}$, the angular distribution $\frac{dσ}{dΩ_Δ}$, and the total scattering cross section $σ(E_e)$ for both the electron and positron induced processes are presented, for the various energies in the range of 0.5--4~GeV. The cross section $σ(E_e)$ is found to be of the order of $10^{-39}$~cm$^{2}$ for the electron/positron energies in the few GeV range. The availability of electron/positron beams having well defined energy and direction with very high luminosity of the order of $10^{38}-10^{39}$~cm$^{-2}$~sec$^{-1}$, makes it possible to observe the weak charged current production of $Δ(1232)$ and determine the axial vector form factors $C_{i}^{A} (Q^2);~(i=3-5)$. The sensitivity of the differential cross section $\frac{dσ}{dQ^2}$ to the subdominant form factors $C_{3}^{A}(Q^2)$ and $C_{4}^{A} (Q^2)$ is found to be strong enough, especially in the low $Q^2$ region, which can be used to determine them phenomenologically and to test the various theoretical models proposed to calculate them. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_06803 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Charged current weak production of $Δ(1232)$ induced by electrons and positrons Fatima, A. Athar, M. Sajjad Singh, S. K. High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Theory The charged current weak production of $Δ(1232)$ from the free proton target induced by the electron/positron in the intermediate energy range corresponding to the beam energy available at JLab and Mainz, has been studied. The results for the differential scattering cross section $\frac{dσ}{dQ^2}$, the angular distribution $\frac{dσ}{dΩ_Δ}$, and the total scattering cross section $σ(E_e)$ for both the electron and positron induced processes are presented, for the various energies in the range of 0.5--4~GeV. The cross section $σ(E_e)$ is found to be of the order of $10^{-39}$~cm$^{2}$ for the electron/positron energies in the few GeV range. The availability of electron/positron beams having well defined energy and direction with very high luminosity of the order of $10^{38}-10^{39}$~cm$^{-2}$~sec$^{-1}$, makes it possible to observe the weak charged current production of $Δ(1232)$ and determine the axial vector form factors $C_{i}^{A} (Q^2);~(i=3-5)$. The sensitivity of the differential cross section $\frac{dσ}{dQ^2}$ to the subdominant form factors $C_{3}^{A}(Q^2)$ and $C_{4}^{A} (Q^2)$ is found to be strong enough, especially in the low $Q^2$ region, which can be used to determine them phenomenologically and to test the various theoretical models proposed to calculate them. |
| title | Charged current weak production of $Δ(1232)$ induced by electrons and positrons |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2407.06803 |