A toy model for "elementariness"
Motivated by recent efforts to analyze corrections to Weinberg's relations for the scattering length and effective range in the presence of a near-threshold bound state, we play around with an instructive toy model for non-relativistic scattering in a central potential. The model allows to inte...
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| creator | Bruns, Peter C |
| description | Motivated by recent efforts to analyze corrections to Weinberg's relations
for the scattering length and effective range in the presence of a
near-threshold bound state, we play around with an instructive toy model for
non-relativistic scattering in a central potential. The model allows to
interpolate between bound-state configurations of high "compositeness", where
the wave function is spread over a wide region beyond the range of the
interaction, and compact configurations of high "elementariness", where the
wave function is confined to a small region around the center of the potential. |
| doi_str_mv | 10.48550/arxiv.2203.16909 |
| format | Article |
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for the scattering length and effective range in the presence of a
near-threshold bound state, we play around with an instructive toy model for
non-relativistic scattering in a central potential. The model allows to
interpolate between bound-state configurations of high "compositeness", where
the wave function is spread over a wide region beyond the range of the
interaction, and compact configurations of high "elementariness", where the
wave function is confined to a small region around the center of the potential.</description><identifier>DOI: 10.48550/arxiv.2203.16909</identifier><language>eng</language><subject>Physics - High Energy Physics - Phenomenology</subject><creationdate>2022-03</creationdate><rights>http://creativecommons.org/licenses/by/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2203.16909$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2203.16909$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Bruns, Peter C</creatorcontrib><title>A toy model for "elementariness"</title><description>Motivated by recent efforts to analyze corrections to Weinberg's relations
for the scattering length and effective range in the presence of a
near-threshold bound state, we play around with an instructive toy model for
non-relativistic scattering in a central potential. The model allows to
interpolate between bound-state configurations of high "compositeness", where
the wave function is spread over a wide region beyond the range of the
interaction, and compact configurations of high "elementariness", where the
wave function is confined to a small region around the center of the potential.</description><subject>Physics - High Energy Physics - Phenomenology</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotzrsKwjAUgOEsDlJ9ACdD99bTJE16xiLeQHDQvZyaBAq9SCqiby9epn_7-RhbZJCqIs9hReHZPFIhQKaZRsAp4yW_Dy_eDda13A-Bx651nevvFJrejWM8YxNP7ejm_0bsvN1c1vvkeNod1uUxIW0wEYXQWIChK-VCemu8Q1RGY15rtAoICR0BejReFMpnkNVgoCbttbRKRmz5u36F1S00HYVX9ZFWX6l8A-tdNp4</recordid><startdate>20220331</startdate><enddate>20220331</enddate><creator>Bruns, Peter C</creator><scope>GOX</scope></search><sort><creationdate>20220331</creationdate><title>A toy model for "elementariness"</title><author>Bruns, Peter C</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a679-28269807aca523fd7fe9947695b69d40a9a9ea09f97f284f101b070ba6f63d43</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Physics - High Energy Physics - Phenomenology</topic><toplevel>online_resources</toplevel><creatorcontrib>Bruns, Peter C</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Bruns, Peter C</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A toy model for "elementariness"</atitle><date>2022-03-31</date><risdate>2022</risdate><abstract>Motivated by recent efforts to analyze corrections to Weinberg's relations
for the scattering length and effective range in the presence of a
near-threshold bound state, we play around with an instructive toy model for
non-relativistic scattering in a central potential. The model allows to
interpolate between bound-state configurations of high "compositeness", where
the wave function is spread over a wide region beyond the range of the
interaction, and compact configurations of high "elementariness", where the
wave function is confined to a small region around the center of the potential.</abstract><doi>10.48550/arxiv.2203.16909</doi><oa>free_for_read</oa></addata></record> |
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| language | eng |
| recordid | cdi_arxiv_primary_2203_16909 |
| source | arXiv.org |
| subjects | Physics - High Energy Physics - Phenomenology |
| title | A toy model for "elementariness" |
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