dorsal/arxiv
View SchemaShell model study of $^{40}$Ca muon capture and the $(0^+, 0)$$\to$$(0^-, 2626)$ axial charge transition
| Authors | T. P. Gorringe |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0606023 |
| URL | https://arxiv.org/abs/nucl-th/0606023 |
| DOI | 10.1103/PhysRevC.74.025503 |
| Journal | Phys.Rev. C74 (2006) 025503 |
Abstract
We report results from shell model studies of muon capture on $^{40}$Ca to low-lying levels of $^{40}$K. We discuss the comparison between calculated capture rates, measured capture rates and analogous transitions in ($e$,$e^{\prime}$) scattering in terms of the particle-hole structure of the $^{40}$Ca-$^{40}$K nuclei. We highlight the $^{40}$Ca$(0^+, 0)$$\to$$^{40}$K$(0^-, 2626)$ axial charge transition and its sensitivity to the induced pseudoscalar coupling $g_p$ of the proton's weak interaction. In addition, we address the hindrance of unique first-forbidden transitions due to particle-hole interactions and the emergence of allowed Gamow-Teller transitions due to ground state correlations. Lastly, we examine the longitudinal alignment of $^{40}$K recoils following muon capture, and discuss this possibility for independently determining the induced coupling $g_p$.
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"abstract": "We report results from shell model studies of muon capture on $^{40}$Ca to\nlow-lying levels of $^{40}$K. We discuss the comparison between calculated\ncapture rates, measured capture rates and analogous transitions in\n($e$,$e^{\\prime}$) scattering in terms of the particle-hole structure of the\n$^{40}$Ca-$^{40}$K nuclei. We highlight the $^{40}$Ca$(0^+,\n0)$$\\to$$^{40}$K$(0^-, 2626)$ axial charge transition and its sensitivity to\nthe induced pseudoscalar coupling $g_p$ of the proton\u0027s weak interaction. In\naddition, we address the hindrance of unique first-forbidden transitions due to\nparticle-hole interactions and the emergence of allowed Gamow-Teller\ntransitions due to ground state correlations. Lastly, we examine the\nlongitudinal alignment of $^{40}$K recoils following muon capture, and discuss\nthis possibility for independently determining the induced coupling $g_p$.",
"arxiv_id": "nucl-th/0606023",
"authors": [
"T. P. Gorringe"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.74.025503",
"journal_ref": "Phys.Rev. C74 (2006) 025503",
"title": "Shell model study of $^{40}$Ca muon capture and the $(0^+, 0)$$\\to$$(0^-, 2626)$ axial charge transition",
"url": "https://arxiv.org/abs/nucl-th/0606023"
},
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