Shell Model Description of Spin-Dependent Elastic and Inelastic WIMP Scattering off <sup>119</sup>Sn and <sup>121</sup>Sb
In this work, we calculate the spin structure functions for spin-dependent elastic and inelastic WIMP scattering off <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>119&l...
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MDPI AG
2022-05-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/8/6/309 |
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| author | Joona Kasurinen Jouni Suhonen Praveen C. Srivastava Pekka Pirinen |
| author_facet | Joona Kasurinen Jouni Suhonen Praveen C. Srivastava Pekka Pirinen |
| author_sort | Joona Kasurinen |
| collection | DOAJ |
| description | In this work, we calculate the spin structure functions for spin-dependent elastic and inelastic WIMP scattering off <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>119</mn></msup></semantics></math></inline-formula>Sn and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>121</mn></msup></semantics></math></inline-formula>Sb. Estimates for detection rates are also given. <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>119</mn></msup></semantics></math></inline-formula>Sn and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>121</mn></msup></semantics></math></inline-formula>Sb are amenable to nuclear structure calculations using the nuclear shell model (NSM). With the possible exception of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>201</mn></msup></semantics></math></inline-formula>Hg, they are the only such nuclei still unexplored theoretically for their potential of inelastic WIMP scattering to a very low excited state. The present calculations were conducted using a state-of-the-art WIMP–nucleus scattering formalism, and the available effective NSM two-body interactions describe the spectroscopic properties of these nuclei reasonably well. Structure functions were found to be high for both nuclei in the case of elastic scattering. Elastic scattering dominated at the zero momentum transfer limit. Detection rate calculations indicated that inelastic scattering was relevant for both nuclei, even surpassing elastic rates for some recoil energies. |
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| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-09T22:18:09Z |
| publishDate | 2022-05-01 |
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| series | Universe |
| spelling | doaj.art-587cfb5accce4f68b877e15acf44be172023-11-23T19:19:04ZengMDPI AGUniverse2218-19972022-05-018630910.3390/universe8060309Shell Model Description of Spin-Dependent Elastic and Inelastic WIMP Scattering off <sup>119</sup>Sn and <sup>121</sup>SbJoona Kasurinen0Jouni Suhonen1Praveen C. Srivastava2Pekka Pirinen3Department of Physics, University of Jyväskylä, P.O. Box 35 (YFL), 40014 Jyväskylä, FinlandDepartment of Physics, University of Jyväskylä, P.O. Box 35 (YFL), 40014 Jyväskylä, FinlandDepartment of Physics, Indian Institute of Technology Roorkee, Roorkee 247667, IndiaDepartment of Physics, University of Jyväskylä, P.O. Box 35 (YFL), 40014 Jyväskylä, FinlandIn this work, we calculate the spin structure functions for spin-dependent elastic and inelastic WIMP scattering off <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>119</mn></msup></semantics></math></inline-formula>Sn and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>121</mn></msup></semantics></math></inline-formula>Sb. Estimates for detection rates are also given. <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>119</mn></msup></semantics></math></inline-formula>Sn and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>121</mn></msup></semantics></math></inline-formula>Sb are amenable to nuclear structure calculations using the nuclear shell model (NSM). With the possible exception of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>201</mn></msup></semantics></math></inline-formula>Hg, they are the only such nuclei still unexplored theoretically for their potential of inelastic WIMP scattering to a very low excited state. The present calculations were conducted using a state-of-the-art WIMP–nucleus scattering formalism, and the available effective NSM two-body interactions describe the spectroscopic properties of these nuclei reasonably well. Structure functions were found to be high for both nuclei in the case of elastic scattering. Elastic scattering dominated at the zero momentum transfer limit. Detection rate calculations indicated that inelastic scattering was relevant for both nuclei, even surpassing elastic rates for some recoil energies.https://www.mdpi.com/2218-1997/8/6/309dark matterWIMPdirect detectionspin structure functionsnuclear structure |
| spellingShingle | Joona Kasurinen Jouni Suhonen Praveen C. Srivastava Pekka Pirinen Shell Model Description of Spin-Dependent Elastic and Inelastic WIMP Scattering off <sup>119</sup>Sn and <sup>121</sup>Sb Universe dark matter WIMP direct detection spin structure functions nuclear structure |
| title | Shell Model Description of Spin-Dependent Elastic and Inelastic WIMP Scattering off <sup>119</sup>Sn and <sup>121</sup>Sb |
| title_full | Shell Model Description of Spin-Dependent Elastic and Inelastic WIMP Scattering off <sup>119</sup>Sn and <sup>121</sup>Sb |
| title_fullStr | Shell Model Description of Spin-Dependent Elastic and Inelastic WIMP Scattering off <sup>119</sup>Sn and <sup>121</sup>Sb |
| title_full_unstemmed | Shell Model Description of Spin-Dependent Elastic and Inelastic WIMP Scattering off <sup>119</sup>Sn and <sup>121</sup>Sb |
| title_short | Shell Model Description of Spin-Dependent Elastic and Inelastic WIMP Scattering off <sup>119</sup>Sn and <sup>121</sup>Sb |
| title_sort | shell model description of spin dependent elastic and inelastic wimp scattering off sup 119 sup sn and sup 121 sup sb |
| topic | dark matter WIMP direct detection spin structure functions nuclear structure |
| url | https://www.mdpi.com/2218-1997/8/6/309 |
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