Tritium $β$-decay and Proton-Proton Fusion in Pionless Effective Field Theory
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
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2024
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| _version_ | 1866917664394313728 |
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| author | Nguyen, Ha S. Vanasse, Jared |
| author_facet | Nguyen, Ha S. Vanasse, Jared |
| contents | The Gamow-Teller and Fermi matrix elements, ${\left<\mathbf{GT}\right>}$ and ${\left<\mathbf{F}\right>}$, respectively, for tritium $β$-decay are calculated to next-to-leading order (NLO) in pionless effective field theory in the absence of Coulomb and isospin violation giving the leading order predictions ${\left<\mathbf{GT}\right>}_{0}=0.9807$ and ${\left<\mathbf{F}\right>}_{0}=1$. Using an experimentally determined value for the tritium-$β$ decay GT matrix element, the two-body axial current low energy constant is fixed at NLO yielding $L_{1,A}=6.01\pm2.08$ fm$^{3}$ at the renormalization scale of the physical pion mass, which agrees with predictions based on naive dimensional analysis. Finally, the consequences of Wigner-SU(4) spin-isospin symmetry are considered for the Gamow-Teller matrix element. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_07889 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Tritium $β$-decay and Proton-Proton Fusion in Pionless Effective Field Theory Nguyen, Ha S. Vanasse, Jared High Energy Physics - Phenomenology Nuclear Theory The Gamow-Teller and Fermi matrix elements, ${\left<\mathbf{GT}\right>}$ and ${\left<\mathbf{F}\right>}$, respectively, for tritium $β$-decay are calculated to next-to-leading order (NLO) in pionless effective field theory in the absence of Coulomb and isospin violation giving the leading order predictions ${\left<\mathbf{GT}\right>}_{0}=0.9807$ and ${\left<\mathbf{F}\right>}_{0}=1$. Using an experimentally determined value for the tritium-$β$ decay GT matrix element, the two-body axial current low energy constant is fixed at NLO yielding $L_{1,A}=6.01\pm2.08$ fm$^{3}$ at the renormalization scale of the physical pion mass, which agrees with predictions based on naive dimensional analysis. Finally, the consequences of Wigner-SU(4) spin-isospin symmetry are considered for the Gamow-Teller matrix element. |
| title | Tritium $β$-decay and Proton-Proton Fusion in Pionless Effective Field Theory |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2405.07889 |