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| Main Authors: | , , , , , , , , , , , |
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| Format: | Preprint |
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2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.08199 |
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| _version_ | 1866914677538160640 |
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| author | Schmidt, A. Denniston, A. W. Seroka, E. M. Barnea, N. Higinbotham, D. W. Korover, I. Miller, G. A. Piasetzky, E. Strikman, M. Weinstein, L. B. Weiss, R. Hen, O. |
| author_facet | Schmidt, A. Denniston, A. W. Seroka, E. M. Barnea, N. Higinbotham, D. W. Korover, I. Miller, G. A. Piasetzky, E. Strikman, M. Weinstein, L. B. Weiss, R. Hen, O. |
| contents | We study the relation between measured high-$x_B$, high-$Q^2$, Helium-3 to Tritium, $(e,e')$ inclusive-scattering cross-section ratios and the relative abundance of high-momentum neutron-proton ($np$) and proton-proton ($pp$) short-range correlated (SRC) nucleon pairs in three-body ($A=3$) nuclei. Analysis of this data using a simple pair-counting cross-section model suggested a much smaller $np/pp$ ratio than previously measured in heavier nuclei, questioning our understanding of $A=3$ nuclei and, by extension, all other nuclei. Here we examine this finding using spectral-function-based cross-section calculations, with both an \textit{ab initio} $A=3$ spectral function and effective Generalized Contact Formalism (GCF) spectral functions using different nucleon-nucleon interaction models. The \textit{ab initio} calculation agrees with the data, showing good understanding of the structure of $A=3$ nuclei. An 8\% uncertainty on the simple pair-counting model, as implied by the difference between it and the \textit{ab initio} calculation, gives a factor of 5 uncertainty in the extracted $np/pp$ ratio. Thus we see no evidence for the claimed ``unexpected structure in the high-momentum wavefunction for hydrogen-3 and helium-3''. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_08199 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A=3 (e,e') $x_B \geq 1$ cross-section ratios and the isospin structure of short-range correlations Schmidt, A. Denniston, A. W. Seroka, E. M. Barnea, N. Higinbotham, D. W. Korover, I. Miller, G. A. Piasetzky, E. Strikman, M. Weinstein, L. B. Weiss, R. Hen, O. Nuclear Theory Nuclear Experiment We study the relation between measured high-$x_B$, high-$Q^2$, Helium-3 to Tritium, $(e,e')$ inclusive-scattering cross-section ratios and the relative abundance of high-momentum neutron-proton ($np$) and proton-proton ($pp$) short-range correlated (SRC) nucleon pairs in three-body ($A=3$) nuclei. Analysis of this data using a simple pair-counting cross-section model suggested a much smaller $np/pp$ ratio than previously measured in heavier nuclei, questioning our understanding of $A=3$ nuclei and, by extension, all other nuclei. Here we examine this finding using spectral-function-based cross-section calculations, with both an \textit{ab initio} $A=3$ spectral function and effective Generalized Contact Formalism (GCF) spectral functions using different nucleon-nucleon interaction models. The \textit{ab initio} calculation agrees with the data, showing good understanding of the structure of $A=3$ nuclei. An 8\% uncertainty on the simple pair-counting model, as implied by the difference between it and the \textit{ab initio} calculation, gives a factor of 5 uncertainty in the extracted $np/pp$ ratio. Thus we see no evidence for the claimed ``unexpected structure in the high-momentum wavefunction for hydrogen-3 and helium-3''. |
| title | A=3 (e,e') $x_B \geq 1$ cross-section ratios and the isospin structure of short-range correlations |
| topic | Nuclear Theory Nuclear Experiment |
| url | https://arxiv.org/abs/2402.08199 |