A Spectroscopic Determination of Scattering Lengths for Sodium Atom Collisions
We report a preliminary value for the zero magnetic field Na S( = 1, = - 1) + Na S( = 1, = - 1) scattering length, . This parameter describes the low-energy elastic two-body processes in a dilute gas of composite bosons and determines, to a large extent, the macroscopic wavefunction of a Bose conden...
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| Veröffentlicht in: | Journal of Research of the National Institute of Standards and Technology 1996-07, Vol.101 (4), p.505-520 |
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| container_title | Journal of Research of the National Institute of Standards and Technology |
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| creator | Tiesinga, Eite Williams, Carl J Julienne, Paul S Jones, Kevin M Lett, Paul D Phillips, William D |
| description | We report a preliminary value for the zero magnetic field Na
S(
= 1,
= - 1) + Na
S(
= 1,
= - 1) scattering length,
. This parameter describes the low-energy elastic two-body processes in a dilute gas of composite bosons and determines, to a large extent, the macroscopic wavefunction of a Bose condensate in a trap. Our scattering length is obtained from photoassociative spectroscopy with samples of uncondensed atoms. The temperature of the atoms is sufficiently low that contributions from the three lowest partial waves dominate the spectrum. The observed lineshapes for the purely long-range [Formula: see text] molecular state enable us to establish key features of the ground state scattering wavefunction. The fortuitous occurrence of a
-wave node near the deepest point (
= 72
) of the [Formula: see text] potential curve is instrumental in determining
= (52 ± 5)
and
= (85 ± 3)
, where the latter is for a collision of two Na
S(
= 2,
= 2) atoms. |
| doi_str_mv | 10.6028/jres.101.051 |
| format | Article |
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S(
= 1,
= - 1) + Na
S(
= 1,
= - 1) scattering length,
. This parameter describes the low-energy elastic two-body processes in a dilute gas of composite bosons and determines, to a large extent, the macroscopic wavefunction of a Bose condensate in a trap. Our scattering length is obtained from photoassociative spectroscopy with samples of uncondensed atoms. The temperature of the atoms is sufficiently low that contributions from the three lowest partial waves dominate the spectrum. The observed lineshapes for the purely long-range [Formula: see text] molecular state enable us to establish key features of the ground state scattering wavefunction. The fortuitous occurrence of a
-wave node near the deepest point (
= 72
) of the [Formula: see text] potential curve is instrumental in determining
= (52 ± 5)
and
= (85 ± 3)
, where the latter is for a collision of two Na
S(
= 2,
= 2) atoms.</description><identifier>ISSN: 1044-677X</identifier><identifier>EISSN: 2165-7254</identifier><identifier>DOI: 10.6028/jres.101.051</identifier><identifier>PMID: 27805104</identifier><language>eng</language><publisher>United States: [Gaithersburg, MD] : U.S. Dept. of Commerce, National Institute of Standards and Technology</publisher><subject>BOSE-EINSTEIN CONDENSATION ; BOSE-EINSTEIN GAS ; DIAGNOSTIC TECHNIQUES ; PHYSICS ; SCATTERING LENGTHS ; TWO-BODY PROBLEM ; WAVE FUNCTIONS</subject><ispartof>Journal of Research of the National Institute of Standards and Technology, 1996-07, Vol.101 (4), p.505-520</ispartof><rights>1996</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c505t-65cf4f49ad8897eeb8c637da1131f77e928b8addd69f07150b85cfb15ea460cf3</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.ncbi.nlm.nih.gov/pmc/articles/PMC4907632/pdf/$$EPDF$$P50$$Gpubmedcentral$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.ncbi.nlm.nih.gov/pmc/articles/PMC4907632/$$EHTML$$P50$$Gpubmedcentral$$Hfree_for_read</linktohtml><link.rule.ids>230,314,724,777,781,882,27905,27906,53772,53774</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/27805104$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink><backlink>$$Uhttps://www.osti.gov/biblio/419642$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Tiesinga, Eite</creatorcontrib><creatorcontrib>Williams, Carl J</creatorcontrib><creatorcontrib>Julienne, Paul S</creatorcontrib><creatorcontrib>Jones, Kevin M</creatorcontrib><creatorcontrib>Lett, Paul D</creatorcontrib><creatorcontrib>Phillips, William D</creatorcontrib><title>A Spectroscopic Determination of Scattering Lengths for Sodium Atom Collisions</title><title>Journal of Research of the National Institute of Standards and Technology</title><addtitle>J Res Natl Inst Stand Technol</addtitle><description>We report a preliminary value for the zero magnetic field Na
S(
= 1,
= - 1) + Na
S(
= 1,
= - 1) scattering length,
. This parameter describes the low-energy elastic two-body processes in a dilute gas of composite bosons and determines, to a large extent, the macroscopic wavefunction of a Bose condensate in a trap. Our scattering length is obtained from photoassociative spectroscopy with samples of uncondensed atoms. The temperature of the atoms is sufficiently low that contributions from the three lowest partial waves dominate the spectrum. The observed lineshapes for the purely long-range [Formula: see text] molecular state enable us to establish key features of the ground state scattering wavefunction. The fortuitous occurrence of a
-wave node near the deepest point (
= 72
) of the [Formula: see text] potential curve is instrumental in determining
= (52 ± 5)
and
= (85 ± 3)
, where the latter is for a collision of two Na
S(
= 2,
= 2) atoms.</description><subject>BOSE-EINSTEIN CONDENSATION</subject><subject>BOSE-EINSTEIN GAS</subject><subject>DIAGNOSTIC TECHNIQUES</subject><subject>PHYSICS</subject><subject>SCATTERING LENGTHS</subject><subject>TWO-BODY PROBLEM</subject><subject>WAVE FUNCTIONS</subject><issn>1044-677X</issn><issn>2165-7254</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1996</creationdate><recordtype>article</recordtype><recordid>eNp9kU1vEzEQhi0EoqFw44zMBXFgg73rr70gReGjlaJyCEjcLK93nLjatYPtIPHv6yilggtzsWb8-J3xvAi9pGQpSKve3ybIS0roknD6CC1aKngjW84eowUljDVCyh8X6FnOt6SGYP1TdNFKVWnCFuhmhbcHsCXFbOPBW_wRCqTZB1N8DDg6vLWm1JIPO7yBsCv7jF1MeBtHf5zxqsQZr-M0-Vz5_Bw9cWbK8OL-vETfP3_6tr5qNl-_XK9Xm8ZywksjuHXMsd6MSvUSYFBWdHI0lHbUSQl9qwZlxnEUvSOScjKo-mKgHAwTxLruEn046x6OwwyjhVCSmfQh-dmk3zoar_-9CX6vd_GXZj2RomurwOuzQMzF62x9Abu3MYS6C81oL9iJeXPfJMWfR8hFzz5bmCYTIB6zbqsQEfwEvv0vSFXHeSd6QSr67ozauvGcwD3MTIk--alPftaE6upQxV_9_c8H-I-B3R1vY51g</recordid><startdate>19960701</startdate><enddate>19960701</enddate><creator>Tiesinga, Eite</creator><creator>Williams, Carl J</creator><creator>Julienne, Paul S</creator><creator>Jones, Kevin M</creator><creator>Lett, Paul D</creator><creator>Phillips, William D</creator><general>[Gaithersburg, MD] : U.S. Dept. of Commerce, National Institute of Standards and Technology</general><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><scope>OTOTI</scope><scope>5PM</scope></search><sort><creationdate>19960701</creationdate><title>A Spectroscopic Determination of Scattering Lengths for Sodium Atom Collisions</title><author>Tiesinga, Eite ; Williams, Carl J ; Julienne, Paul S ; Jones, Kevin M ; Lett, Paul D ; Phillips, William D</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c505t-65cf4f49ad8897eeb8c637da1131f77e928b8addd69f07150b85cfb15ea460cf3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1996</creationdate><topic>BOSE-EINSTEIN CONDENSATION</topic><topic>BOSE-EINSTEIN GAS</topic><topic>DIAGNOSTIC TECHNIQUES</topic><topic>PHYSICS</topic><topic>SCATTERING LENGTHS</topic><topic>TWO-BODY PROBLEM</topic><topic>WAVE FUNCTIONS</topic><toplevel>online_resources</toplevel><creatorcontrib>Tiesinga, Eite</creatorcontrib><creatorcontrib>Williams, Carl J</creatorcontrib><creatorcontrib>Julienne, Paul S</creatorcontrib><creatorcontrib>Jones, Kevin M</creatorcontrib><creatorcontrib>Lett, Paul D</creatorcontrib><creatorcontrib>Phillips, William D</creatorcontrib><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>OSTI.GOV</collection><collection>PubMed Central (Full Participant titles)</collection><jtitle>Journal of Research of the National Institute of Standards and Technology</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Tiesinga, Eite</au><au>Williams, Carl J</au><au>Julienne, Paul S</au><au>Jones, Kevin M</au><au>Lett, Paul D</au><au>Phillips, William D</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A Spectroscopic Determination of Scattering Lengths for Sodium Atom Collisions</atitle><jtitle>Journal of Research of the National Institute of Standards and Technology</jtitle><addtitle>J Res Natl Inst Stand Technol</addtitle><date>1996-07-01</date><risdate>1996</risdate><volume>101</volume><issue>4</issue><spage>505</spage><epage>520</epage><pages>505-520</pages><issn>1044-677X</issn><eissn>2165-7254</eissn><abstract>We report a preliminary value for the zero magnetic field Na
S(
= 1,
= - 1) + Na
S(
= 1,
= - 1) scattering length,
. This parameter describes the low-energy elastic two-body processes in a dilute gas of composite bosons and determines, to a large extent, the macroscopic wavefunction of a Bose condensate in a trap. Our scattering length is obtained from photoassociative spectroscopy with samples of uncondensed atoms. The temperature of the atoms is sufficiently low that contributions from the three lowest partial waves dominate the spectrum. The observed lineshapes for the purely long-range [Formula: see text] molecular state enable us to establish key features of the ground state scattering wavefunction. The fortuitous occurrence of a
-wave node near the deepest point (
= 72
) of the [Formula: see text] potential curve is instrumental in determining
= (52 ± 5)
and
= (85 ± 3)
, where the latter is for a collision of two Na
S(
= 2,
= 2) atoms.</abstract><cop>United States</cop><pub>[Gaithersburg, MD] : U.S. Dept. of Commerce, National Institute of Standards and Technology</pub><pmid>27805104</pmid><doi>10.6028/jres.101.051</doi><tpages>16</tpages><oa>free_for_read</oa></addata></record> |
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| language | eng |
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| source | PubMed Central; Alma/SFX Local Collection; Free Full-Text Journals in Chemistry |
| subjects | BOSE-EINSTEIN CONDENSATION BOSE-EINSTEIN GAS DIAGNOSTIC TECHNIQUES PHYSICS SCATTERING LENGTHS TWO-BODY PROBLEM WAVE FUNCTIONS |
| title | A Spectroscopic Determination of Scattering Lengths for Sodium Atom Collisions |
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