The Most Slowly Declining Type Ia Supernova 2001ay
We present optical and near-infrared photometry, as well as ground-based optical spectra and Hubble Space Telescope ultraviolet spectra, of the Type Ia supernova (SN) 2001ay. At maximum light the Si II and Mg II lines indicated expansion velocities of 14,000 km/sec, while Si III and S II showed velo...
Gespeichert in:
Veröffentlicht in: | arXiv.org 2011-06 |
---|---|
Hauptverfasser: | , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | |
---|---|
container_issue | |
container_start_page | |
container_title | arXiv.org |
container_volume | |
creator | Krisciunas, Kevin Li, Weidong Matheson, Thomas Howell, D Andrew Stritzinger, Maximilian Aldering, Greg Berlind, Perry L Calkins, M Challis, Peter Ryan Chornock Conley, Alexander Filippenko, Alexei V Mohan Ganeshalingam Germany, Lisa Gonzalez, Sergio Gooding, Samuel D Hsiao, Eric Kasen, Daniel Kirshner, Robert P G H "Howie" Marion Muena, Cesar Nugent, Peter E Phelps, M Phillips, Mark M Qiu, Yulei Quimby, Robert Rines, K Silverman, Jeffrey M Suntzeff, Nicholas B Thomas, Rollin C Wang, Lifan |
description | We present optical and near-infrared photometry, as well as ground-based optical spectra and Hubble Space Telescope ultraviolet spectra, of the Type Ia supernova (SN) 2001ay. At maximum light the Si II and Mg II lines indicated expansion velocities of 14,000 km/sec, while Si III and S II showed velocities of 9,000 km/sec There is also evidence for some unburned carbon at 12,000 km/sec. SN 2001ay exhibited a decline-rate parameter Delta m_15(B) = 0.68 \pm 0.05 mag; this and the B-band photometry at t > +25 d past maximum make it the most slowly declining Type Ia SN yet discovered. Three of four super-Chandrasekhar-mass candidates have decline rates almost as slow as this. After correction for Galactic and host-galaxy extinction, SN 2001ay had M_B = -19.19 and M_V = -19.17 mag at maximum light; thus, it was not overluminous in optical bands. In near-infrared bands it was overluminous only at the 2-sigma level at most. For a rise time of 18 d (explosion to bolometric maximum) the implied Ni-56 yield was (0.58 \pm 0.15)/alpha M_Sun, with alpha = L_max/E_Ni probably in the range 1.0 to 1.2. The Ni-56 yield is comparable to that of many Type Ia supernovae. The "normal" Ni-56 yield and the typical peak optical brightness suggest that the very broad optical light curve is explained by the trapping of the gamma rays in the inner regions. |
doi_str_mv | 10.48550/arxiv.1106.3968 |
format | Article |
fullrecord | <record><control><sourceid>proquest_arxiv</sourceid><recordid>TN_cdi_arxiv_primary_1106_3968</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2082244179</sourcerecordid><originalsourceid>FETCH-LOGICAL-a519-c280cdc24e42bd7932e85f26c60d8c4ffd1a1234bc3735bd8616200924cd41583</originalsourceid><addsrcrecordid>eNotjztPwzAUhS0kpFaleydkiTnh-voRZ0Tl0UpFDM0eObYDqUISnKaQf09Kmc7y6ZzzEbJiEAstJdyb8FOdYsZAxTxV-orMkXMWaYE4I8u-PwAAqgSl5HOC2Yenr21_pPu6_a5H-uhtXTVV806zsfN0a-h-6Hxo2pOhCMDMeEOuS1P3fvmfC5I9P2XrTbR7e9muH3aRkSyNLGqwzqLwAguXpBy9liUqq8BpK8rSMcOQi8LyhMvCacXU1J-isE4wqfmC3F5q_3zyLlSfJoz52Ss_e03A3QXoQvs1-P6YH9ohNNOlHEEjCsGm2V_cPk03</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2082244179</pqid></control><display><type>article</type><title>The Most Slowly Declining Type Ia Supernova 2001ay</title><source>arXiv.org</source><source>Free E- Journals</source><creator>Krisciunas, Kevin ; Li, Weidong ; Matheson, Thomas ; Howell, D Andrew ; Stritzinger, Maximilian ; Aldering, Greg ; Berlind, Perry L ; Calkins, M ; Challis, Peter ; Ryan Chornock ; Conley, Alexander ; Filippenko, Alexei V ; Mohan Ganeshalingam ; Germany, Lisa ; Gonzalez, Sergio ; Gooding, Samuel D ; Hsiao, Eric ; Kasen, Daniel ; Kirshner, Robert P ; G H "Howie" Marion ; Muena, Cesar ; Nugent, Peter E ; Phelps, M ; Phillips, Mark M ; Qiu, Yulei ; Quimby, Robert ; Rines, K ; Silverman, Jeffrey M ; Suntzeff, Nicholas B ; Thomas, Rollin C ; Wang, Lifan</creator><creatorcontrib>Krisciunas, Kevin ; Li, Weidong ; Matheson, Thomas ; Howell, D Andrew ; Stritzinger, Maximilian ; Aldering, Greg ; Berlind, Perry L ; Calkins, M ; Challis, Peter ; Ryan Chornock ; Conley, Alexander ; Filippenko, Alexei V ; Mohan Ganeshalingam ; Germany, Lisa ; Gonzalez, Sergio ; Gooding, Samuel D ; Hsiao, Eric ; Kasen, Daniel ; Kirshner, Robert P ; G H "Howie" Marion ; Muena, Cesar ; Nugent, Peter E ; Phelps, M ; Phillips, Mark M ; Qiu, Yulei ; Quimby, Robert ; Rines, K ; Silverman, Jeffrey M ; Suntzeff, Nicholas B ; Thomas, Rollin C ; Wang, Lifan</creatorcontrib><description>We present optical and near-infrared photometry, as well as ground-based optical spectra and Hubble Space Telescope ultraviolet spectra, of the Type Ia supernova (SN) 2001ay. At maximum light the Si II and Mg II lines indicated expansion velocities of 14,000 km/sec, while Si III and S II showed velocities of 9,000 km/sec There is also evidence for some unburned carbon at 12,000 km/sec. SN 2001ay exhibited a decline-rate parameter Delta m_15(B) = 0.68 \pm 0.05 mag; this and the B-band photometry at t > +25 d past maximum make it the most slowly declining Type Ia SN yet discovered. Three of four super-Chandrasekhar-mass candidates have decline rates almost as slow as this. After correction for Galactic and host-galaxy extinction, SN 2001ay had M_B = -19.19 and M_V = -19.17 mag at maximum light; thus, it was not overluminous in optical bands. In near-infrared bands it was overluminous only at the 2-sigma level at most. For a rise time of 18 d (explosion to bolometric maximum) the implied Ni-56 yield was (0.58 \pm 0.15)/alpha M_Sun, with alpha = L_max/E_Ni probably in the range 1.0 to 1.2. The Ni-56 yield is comparable to that of many Type Ia supernovae. The "normal" Ni-56 yield and the typical peak optical brightness suggest that the very broad optical light curve is explained by the trapping of the gamma rays in the inner regions.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.1106.3968</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Bolometers ; Galaxies ; Gamma rays ; Hubble Space Telescope ; Infrared photometry ; Light curve ; Photometry ; Physics - Cosmology and Nongalactic Astrophysics ; Silicon ; Space telescopes ; Supernovae ; Ultraviolet spectra</subject><ispartof>arXiv.org, 2011-06</ispartof><rights>2011. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,784,885,27925</link.rule.ids><backlink>$$Uhttps://doi.org/10.48550/arXiv.1106.3968$$DView paper in arXiv$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.1088/0004-6256/142/3/74$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink></links><search><creatorcontrib>Krisciunas, Kevin</creatorcontrib><creatorcontrib>Li, Weidong</creatorcontrib><creatorcontrib>Matheson, Thomas</creatorcontrib><creatorcontrib>Howell, D Andrew</creatorcontrib><creatorcontrib>Stritzinger, Maximilian</creatorcontrib><creatorcontrib>Aldering, Greg</creatorcontrib><creatorcontrib>Berlind, Perry L</creatorcontrib><creatorcontrib>Calkins, M</creatorcontrib><creatorcontrib>Challis, Peter</creatorcontrib><creatorcontrib>Ryan Chornock</creatorcontrib><creatorcontrib>Conley, Alexander</creatorcontrib><creatorcontrib>Filippenko, Alexei V</creatorcontrib><creatorcontrib>Mohan Ganeshalingam</creatorcontrib><creatorcontrib>Germany, Lisa</creatorcontrib><creatorcontrib>Gonzalez, Sergio</creatorcontrib><creatorcontrib>Gooding, Samuel D</creatorcontrib><creatorcontrib>Hsiao, Eric</creatorcontrib><creatorcontrib>Kasen, Daniel</creatorcontrib><creatorcontrib>Kirshner, Robert P</creatorcontrib><creatorcontrib>G H "Howie" Marion</creatorcontrib><creatorcontrib>Muena, Cesar</creatorcontrib><creatorcontrib>Nugent, Peter E</creatorcontrib><creatorcontrib>Phelps, M</creatorcontrib><creatorcontrib>Phillips, Mark M</creatorcontrib><creatorcontrib>Qiu, Yulei</creatorcontrib><creatorcontrib>Quimby, Robert</creatorcontrib><creatorcontrib>Rines, K</creatorcontrib><creatorcontrib>Silverman, Jeffrey M</creatorcontrib><creatorcontrib>Suntzeff, Nicholas B</creatorcontrib><creatorcontrib>Thomas, Rollin C</creatorcontrib><creatorcontrib>Wang, Lifan</creatorcontrib><title>The Most Slowly Declining Type Ia Supernova 2001ay</title><title>arXiv.org</title><description>We present optical and near-infrared photometry, as well as ground-based optical spectra and Hubble Space Telescope ultraviolet spectra, of the Type Ia supernova (SN) 2001ay. At maximum light the Si II and Mg II lines indicated expansion velocities of 14,000 km/sec, while Si III and S II showed velocities of 9,000 km/sec There is also evidence for some unburned carbon at 12,000 km/sec. SN 2001ay exhibited a decline-rate parameter Delta m_15(B) = 0.68 \pm 0.05 mag; this and the B-band photometry at t > +25 d past maximum make it the most slowly declining Type Ia SN yet discovered. Three of four super-Chandrasekhar-mass candidates have decline rates almost as slow as this. After correction for Galactic and host-galaxy extinction, SN 2001ay had M_B = -19.19 and M_V = -19.17 mag at maximum light; thus, it was not overluminous in optical bands. In near-infrared bands it was overluminous only at the 2-sigma level at most. For a rise time of 18 d (explosion to bolometric maximum) the implied Ni-56 yield was (0.58 \pm 0.15)/alpha M_Sun, with alpha = L_max/E_Ni probably in the range 1.0 to 1.2. The Ni-56 yield is comparable to that of many Type Ia supernovae. The "normal" Ni-56 yield and the typical peak optical brightness suggest that the very broad optical light curve is explained by the trapping of the gamma rays in the inner regions.</description><subject>Bolometers</subject><subject>Galaxies</subject><subject>Gamma rays</subject><subject>Hubble Space Telescope</subject><subject>Infrared photometry</subject><subject>Light curve</subject><subject>Photometry</subject><subject>Physics - Cosmology and Nongalactic Astrophysics</subject><subject>Silicon</subject><subject>Space telescopes</subject><subject>Supernovae</subject><subject>Ultraviolet spectra</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GOX</sourceid><recordid>eNotjztPwzAUhS0kpFaleydkiTnh-voRZ0Tl0UpFDM0eObYDqUISnKaQf09Kmc7y6ZzzEbJiEAstJdyb8FOdYsZAxTxV-orMkXMWaYE4I8u-PwAAqgSl5HOC2Yenr21_pPu6_a5H-uhtXTVV806zsfN0a-h-6Hxo2pOhCMDMeEOuS1P3fvmfC5I9P2XrTbR7e9muH3aRkSyNLGqwzqLwAguXpBy9liUqq8BpK8rSMcOQi8LyhMvCacXU1J-isE4wqfmC3F5q_3zyLlSfJoz52Ss_e03A3QXoQvs1-P6YH9ohNNOlHEEjCsGm2V_cPk03</recordid><startdate>20110621</startdate><enddate>20110621</enddate><creator>Krisciunas, Kevin</creator><creator>Li, Weidong</creator><creator>Matheson, Thomas</creator><creator>Howell, D Andrew</creator><creator>Stritzinger, Maximilian</creator><creator>Aldering, Greg</creator><creator>Berlind, Perry L</creator><creator>Calkins, M</creator><creator>Challis, Peter</creator><creator>Ryan Chornock</creator><creator>Conley, Alexander</creator><creator>Filippenko, Alexei V</creator><creator>Mohan Ganeshalingam</creator><creator>Germany, Lisa</creator><creator>Gonzalez, Sergio</creator><creator>Gooding, Samuel D</creator><creator>Hsiao, Eric</creator><creator>Kasen, Daniel</creator><creator>Kirshner, Robert P</creator><creator>G H "Howie" Marion</creator><creator>Muena, Cesar</creator><creator>Nugent, Peter E</creator><creator>Phelps, M</creator><creator>Phillips, Mark M</creator><creator>Qiu, Yulei</creator><creator>Quimby, Robert</creator><creator>Rines, K</creator><creator>Silverman, Jeffrey M</creator><creator>Suntzeff, Nicholas B</creator><creator>Thomas, Rollin C</creator><creator>Wang, Lifan</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>GOX</scope></search><sort><creationdate>20110621</creationdate><title>The Most Slowly Declining Type Ia Supernova 2001ay</title><author>Krisciunas, Kevin ; Li, Weidong ; Matheson, Thomas ; Howell, D Andrew ; Stritzinger, Maximilian ; Aldering, Greg ; Berlind, Perry L ; Calkins, M ; Challis, Peter ; Ryan Chornock ; Conley, Alexander ; Filippenko, Alexei V ; Mohan Ganeshalingam ; Germany, Lisa ; Gonzalez, Sergio ; Gooding, Samuel D ; Hsiao, Eric ; Kasen, Daniel ; Kirshner, Robert P ; G H "Howie" Marion ; Muena, Cesar ; Nugent, Peter E ; Phelps, M ; Phillips, Mark M ; Qiu, Yulei ; Quimby, Robert ; Rines, K ; Silverman, Jeffrey M ; Suntzeff, Nicholas B ; Thomas, Rollin C ; Wang, Lifan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a519-c280cdc24e42bd7932e85f26c60d8c4ffd1a1234bc3735bd8616200924cd41583</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Bolometers</topic><topic>Galaxies</topic><topic>Gamma rays</topic><topic>Hubble Space Telescope</topic><topic>Infrared photometry</topic><topic>Light curve</topic><topic>Photometry</topic><topic>Physics - Cosmology and Nongalactic Astrophysics</topic><topic>Silicon</topic><topic>Space telescopes</topic><topic>Supernovae</topic><topic>Ultraviolet spectra</topic><toplevel>online_resources</toplevel><creatorcontrib>Krisciunas, Kevin</creatorcontrib><creatorcontrib>Li, Weidong</creatorcontrib><creatorcontrib>Matheson, Thomas</creatorcontrib><creatorcontrib>Howell, D Andrew</creatorcontrib><creatorcontrib>Stritzinger, Maximilian</creatorcontrib><creatorcontrib>Aldering, Greg</creatorcontrib><creatorcontrib>Berlind, Perry L</creatorcontrib><creatorcontrib>Calkins, M</creatorcontrib><creatorcontrib>Challis, Peter</creatorcontrib><creatorcontrib>Ryan Chornock</creatorcontrib><creatorcontrib>Conley, Alexander</creatorcontrib><creatorcontrib>Filippenko, Alexei V</creatorcontrib><creatorcontrib>Mohan Ganeshalingam</creatorcontrib><creatorcontrib>Germany, Lisa</creatorcontrib><creatorcontrib>Gonzalez, Sergio</creatorcontrib><creatorcontrib>Gooding, Samuel D</creatorcontrib><creatorcontrib>Hsiao, Eric</creatorcontrib><creatorcontrib>Kasen, Daniel</creatorcontrib><creatorcontrib>Kirshner, Robert P</creatorcontrib><creatorcontrib>G H "Howie" Marion</creatorcontrib><creatorcontrib>Muena, Cesar</creatorcontrib><creatorcontrib>Nugent, Peter E</creatorcontrib><creatorcontrib>Phelps, M</creatorcontrib><creatorcontrib>Phillips, Mark M</creatorcontrib><creatorcontrib>Qiu, Yulei</creatorcontrib><creatorcontrib>Quimby, Robert</creatorcontrib><creatorcontrib>Rines, K</creatorcontrib><creatorcontrib>Silverman, Jeffrey M</creatorcontrib><creatorcontrib>Suntzeff, Nicholas B</creatorcontrib><creatorcontrib>Thomas, Rollin C</creatorcontrib><creatorcontrib>Wang, Lifan</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Access via ProQuest (Open Access)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Krisciunas, Kevin</au><au>Li, Weidong</au><au>Matheson, Thomas</au><au>Howell, D Andrew</au><au>Stritzinger, Maximilian</au><au>Aldering, Greg</au><au>Berlind, Perry L</au><au>Calkins, M</au><au>Challis, Peter</au><au>Ryan Chornock</au><au>Conley, Alexander</au><au>Filippenko, Alexei V</au><au>Mohan Ganeshalingam</au><au>Germany, Lisa</au><au>Gonzalez, Sergio</au><au>Gooding, Samuel D</au><au>Hsiao, Eric</au><au>Kasen, Daniel</au><au>Kirshner, Robert P</au><au>G H "Howie" Marion</au><au>Muena, Cesar</au><au>Nugent, Peter E</au><au>Phelps, M</au><au>Phillips, Mark M</au><au>Qiu, Yulei</au><au>Quimby, Robert</au><au>Rines, K</au><au>Silverman, Jeffrey M</au><au>Suntzeff, Nicholas B</au><au>Thomas, Rollin C</au><au>Wang, Lifan</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The Most Slowly Declining Type Ia Supernova 2001ay</atitle><jtitle>arXiv.org</jtitle><date>2011-06-21</date><risdate>2011</risdate><eissn>2331-8422</eissn><abstract>We present optical and near-infrared photometry, as well as ground-based optical spectra and Hubble Space Telescope ultraviolet spectra, of the Type Ia supernova (SN) 2001ay. At maximum light the Si II and Mg II lines indicated expansion velocities of 14,000 km/sec, while Si III and S II showed velocities of 9,000 km/sec There is also evidence for some unburned carbon at 12,000 km/sec. SN 2001ay exhibited a decline-rate parameter Delta m_15(B) = 0.68 \pm 0.05 mag; this and the B-band photometry at t > +25 d past maximum make it the most slowly declining Type Ia SN yet discovered. Three of four super-Chandrasekhar-mass candidates have decline rates almost as slow as this. After correction for Galactic and host-galaxy extinction, SN 2001ay had M_B = -19.19 and M_V = -19.17 mag at maximum light; thus, it was not overluminous in optical bands. In near-infrared bands it was overluminous only at the 2-sigma level at most. For a rise time of 18 d (explosion to bolometric maximum) the implied Ni-56 yield was (0.58 \pm 0.15)/alpha M_Sun, with alpha = L_max/E_Ni probably in the range 1.0 to 1.2. The Ni-56 yield is comparable to that of many Type Ia supernovae. The "normal" Ni-56 yield and the typical peak optical brightness suggest that the very broad optical light curve is explained by the trapping of the gamma rays in the inner regions.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.1106.3968</doi><oa>free_for_read</oa></addata></record> |
fulltext | fulltext |
identifier | EISSN: 2331-8422 |
ispartof | arXiv.org, 2011-06 |
issn | 2331-8422 |
language | eng |
recordid | cdi_arxiv_primary_1106_3968 |
source | arXiv.org; Free E- Journals |
subjects | Bolometers Galaxies Gamma rays Hubble Space Telescope Infrared photometry Light curve Photometry Physics - Cosmology and Nongalactic Astrophysics Silicon Space telescopes Supernovae Ultraviolet spectra |
title | The Most Slowly Declining Type Ia Supernova 2001ay |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-19T18%3A35%3A24IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_arxiv&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=The%20Most%20Slowly%20Declining%20Type%20Ia%20Supernova%202001ay&rft.jtitle=arXiv.org&rft.au=Krisciunas,%20Kevin&rft.date=2011-06-21&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.1106.3968&rft_dat=%3Cproquest_arxiv%3E2082244179%3C/proquest_arxiv%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2082244179&rft_id=info:pmid/&rfr_iscdi=true |