扩展矢量介子主导模型中的 e+e-→Λc+Λ¯c- 截面和Λc+ 电磁形式因子

IF 3.5 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY
Cheng Chen, Bing Yan, Ju-Jun Xie
{"title":"扩展矢量介子主导模型中的 e+e-→Λc+Λ¯c- 截面和Λc+ 电磁形式因子","authors":"Cheng Chen, Bing Yan, Ju-Jun Xie","doi":"10.1088/0256-307x/41/2/021302","DOIUrl":null,"url":null,"abstract":"Within the extended vector meson dominance model, we investigate the <inline-formula>\n<tex-math>\n<?CDATA ${e}^{+}{e}^{-}\\to {\\varLambda }_{c}^{+}{\\bar{\\varLambda }}_{c}^{-}$?>\n</tex-math>\n<mml:math overflow=\"scroll\"><mml:mrow><mml:msup><mml:mi>e</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>e</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:msubsup><mml:mi>Λ</mml:mi><mml:mi>c</mml:mi><mml:mo>+</mml:mo></mml:msubsup><mml:msubsup><mml:mover accent=\"true\"><mml:mi>Λ</mml:mi><mml:mo>¯</mml:mo></mml:mover><mml:mi>c</mml:mi><mml:mo>−</mml:mo></mml:msubsup></mml:mrow></mml:math>\n<inline-graphic xlink:href=\"cpl_41_2_021302_ieqn5.gif\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> reaction and the electromagnetic form factors of the charmed baryon <inline-formula>\n<tex-math>\n<?CDATA ${\\varLambda }_{c}^{+}$?>\n</tex-math>\n<mml:math overflow=\"scroll\"><mml:mrow><mml:msubsup><mml:mi>Λ</mml:mi><mml:mi>c</mml:mi><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math>\n<inline-graphic xlink:href=\"cpl_41_2_021302_ieqn6.gif\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula>. The model parameters are determined by fitting them to the cross sections of the process <inline-formula>\n<tex-math>\n<?CDATA ${e}^{+}{e}^{-}\\to {\\varLambda }_{c}^{+}{\\bar{\\varLambda }}_{c}^{-}$?>\n</tex-math>\n<mml:math overflow=\"scroll\"><mml:mrow><mml:msup><mml:mi>e</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>e</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:msubsup><mml:mi>Λ</mml:mi><mml:mi>c</mml:mi><mml:mo>+</mml:mo></mml:msubsup><mml:msubsup><mml:mover accent=\"true\"><mml:mi>Λ</mml:mi><mml:mo>¯</mml:mo></mml:mover><mml:mi>c</mml:mi><mml:mo>−</mml:mo></mml:msubsup></mml:mrow></mml:math>\n<inline-graphic xlink:href=\"cpl_41_2_021302_ieqn7.gif\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> and the magnetic form factor |<italic toggle=\"yes\">G</italic>\n<sub>M</sub>| of <inline-formula>\n<tex-math>\n<?CDATA ${\\varLambda }_{c}^{+}$?>\n</tex-math>\n<mml:math overflow=\"scroll\"><mml:mrow><mml:msubsup><mml:mi>Λ</mml:mi><mml:mi>c</mml:mi><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math>\n<inline-graphic xlink:href=\"cpl_41_2_021302_ieqn8.gif\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula>. By considering four charmonium-like states, called <italic toggle=\"yes\">ψ</italic>(4500), <italic toggle=\"yes\">ψ</italic>(4660), <italic toggle=\"yes\">ψ</italic>(4790), and <italic toggle=\"yes\">ψ</italic>(4900), we can well describe the current data on the <inline-formula>\n<tex-math>\n<?CDATA ${e}^{+}{e}^{-}\\to {\\varLambda }_{c}^{+}{\\bar{\\varLambda }}_{c}^{-}$?>\n</tex-math>\n<mml:math overflow=\"scroll\"><mml:mrow><mml:msup><mml:mi>e</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>e</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:msubsup><mml:mi>Λ</mml:mi><mml:mi>c</mml:mi><mml:mo>+</mml:mo></mml:msubsup><mml:msubsup><mml:mover accent=\"true\"><mml:mi>Λ</mml:mi><mml:mo>¯</mml:mo></mml:mover><mml:mi>c</mml:mi><mml:mo>−</mml:mo></mml:msubsup></mml:mrow></mml:math>\n<inline-graphic xlink:href=\"cpl_41_2_021302_ieqn9.gif\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> reaction from the reaction threshold up to 4.96 GeV. In addition to the total cross sections and |<italic toggle=\"yes\">G</italic>\n<sub>M</sub>|, the ratio |<italic toggle=\"yes\">G</italic>\n<sub>E</sub>/<italic toggle=\"yes\">G</italic>\n<sub>M</sub>| and the effective form factor |<italic toggle=\"yes\">G</italic>\n<sub>eff</sub>| for <inline-formula>\n<tex-math>\n<?CDATA ${\\varLambda }_{c}^{+}$?>\n</tex-math>\n<mml:math overflow=\"scroll\"><mml:mrow><mml:msubsup><mml:mi>Λ</mml:mi><mml:mi>c</mml:mi><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math>\n<inline-graphic xlink:href=\"cpl_41_2_021302_ieqn10.gif\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> are also calculated, and found that these calculations are consistent with the experimental data. Within the fitted model parameters, we have also estimated the charge radius of the charmed <inline-formula>\n<tex-math>\n<?CDATA ${\\varLambda }_{c}^{+}$?>\n</tex-math>\n<mml:math overflow=\"scroll\"><mml:mrow><mml:msubsup><mml:mi>Λ</mml:mi><mml:mi>c</mml:mi><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math>\n<inline-graphic xlink:href=\"cpl_41_2_021302_ieqn11.gif\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> baryon.","PeriodicalId":10344,"journal":{"name":"Chinese Physics Letters","volume":"176 1","pages":""},"PeriodicalIF":3.5000,"publicationDate":"2024-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"e+e−→Λc+Λ¯c− Cross Sections and the Λc+ Electromagnetic Form Factors within the Extended Vector Meson Dominance Model\",\"authors\":\"Cheng Chen, Bing Yan, Ju-Jun Xie\",\"doi\":\"10.1088/0256-307x/41/2/021302\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Within the extended vector meson dominance model, we investigate the <inline-formula>\\n<tex-math>\\n<?CDATA ${e}^{+}{e}^{-}\\\\to {\\\\varLambda }_{c}^{+}{\\\\bar{\\\\varLambda }}_{c}^{-}$?>\\n</tex-math>\\n<mml:math overflow=\\\"scroll\\\"><mml:mrow><mml:msup><mml:mi>e</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>e</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:msubsup><mml:mi>Λ</mml:mi><mml:mi>c</mml:mi><mml:mo>+</mml:mo></mml:msubsup><mml:msubsup><mml:mover accent=\\\"true\\\"><mml:mi>Λ</mml:mi><mml:mo>¯</mml:mo></mml:mover><mml:mi>c</mml:mi><mml:mo>−</mml:mo></mml:msubsup></mml:mrow></mml:math>\\n<inline-graphic xlink:href=\\\"cpl_41_2_021302_ieqn5.gif\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula> reaction and the electromagnetic form factors of the charmed baryon <inline-formula>\\n<tex-math>\\n<?CDATA ${\\\\varLambda }_{c}^{+}$?>\\n</tex-math>\\n<mml:math overflow=\\\"scroll\\\"><mml:mrow><mml:msubsup><mml:mi>Λ</mml:mi><mml:mi>c</mml:mi><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math>\\n<inline-graphic xlink:href=\\\"cpl_41_2_021302_ieqn6.gif\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula>. The model parameters are determined by fitting them to the cross sections of the process <inline-formula>\\n<tex-math>\\n<?CDATA ${e}^{+}{e}^{-}\\\\to {\\\\varLambda }_{c}^{+}{\\\\bar{\\\\varLambda }}_{c}^{-}$?>\\n</tex-math>\\n<mml:math overflow=\\\"scroll\\\"><mml:mrow><mml:msup><mml:mi>e</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>e</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:msubsup><mml:mi>Λ</mml:mi><mml:mi>c</mml:mi><mml:mo>+</mml:mo></mml:msubsup><mml:msubsup><mml:mover accent=\\\"true\\\"><mml:mi>Λ</mml:mi><mml:mo>¯</mml:mo></mml:mover><mml:mi>c</mml:mi><mml:mo>−</mml:mo></mml:msubsup></mml:mrow></mml:math>\\n<inline-graphic xlink:href=\\\"cpl_41_2_021302_ieqn7.gif\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula> and the magnetic form factor |<italic toggle=\\\"yes\\\">G</italic>\\n<sub>M</sub>| of <inline-formula>\\n<tex-math>\\n<?CDATA ${\\\\varLambda }_{c}^{+}$?>\\n</tex-math>\\n<mml:math overflow=\\\"scroll\\\"><mml:mrow><mml:msubsup><mml:mi>Λ</mml:mi><mml:mi>c</mml:mi><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math>\\n<inline-graphic xlink:href=\\\"cpl_41_2_021302_ieqn8.gif\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula>. By considering four charmonium-like states, called <italic toggle=\\\"yes\\\">ψ</italic>(4500), <italic toggle=\\\"yes\\\">ψ</italic>(4660), <italic toggle=\\\"yes\\\">ψ</italic>(4790), and <italic toggle=\\\"yes\\\">ψ</italic>(4900), we can well describe the current data on the <inline-formula>\\n<tex-math>\\n<?CDATA ${e}^{+}{e}^{-}\\\\to {\\\\varLambda }_{c}^{+}{\\\\bar{\\\\varLambda }}_{c}^{-}$?>\\n</tex-math>\\n<mml:math overflow=\\\"scroll\\\"><mml:mrow><mml:msup><mml:mi>e</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>e</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:msubsup><mml:mi>Λ</mml:mi><mml:mi>c</mml:mi><mml:mo>+</mml:mo></mml:msubsup><mml:msubsup><mml:mover accent=\\\"true\\\"><mml:mi>Λ</mml:mi><mml:mo>¯</mml:mo></mml:mover><mml:mi>c</mml:mi><mml:mo>−</mml:mo></mml:msubsup></mml:mrow></mml:math>\\n<inline-graphic xlink:href=\\\"cpl_41_2_021302_ieqn9.gif\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula> reaction from the reaction threshold up to 4.96 GeV. In addition to the total cross sections and |<italic toggle=\\\"yes\\\">G</italic>\\n<sub>M</sub>|, the ratio |<italic toggle=\\\"yes\\\">G</italic>\\n<sub>E</sub>/<italic toggle=\\\"yes\\\">G</italic>\\n<sub>M</sub>| and the effective form factor |<italic toggle=\\\"yes\\\">G</italic>\\n<sub>eff</sub>| for <inline-formula>\\n<tex-math>\\n<?CDATA ${\\\\varLambda }_{c}^{+}$?>\\n</tex-math>\\n<mml:math overflow=\\\"scroll\\\"><mml:mrow><mml:msubsup><mml:mi>Λ</mml:mi><mml:mi>c</mml:mi><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math>\\n<inline-graphic xlink:href=\\\"cpl_41_2_021302_ieqn10.gif\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula> are also calculated, and found that these calculations are consistent with the experimental data. Within the fitted model parameters, we have also estimated the charge radius of the charmed <inline-formula>\\n<tex-math>\\n<?CDATA ${\\\\varLambda }_{c}^{+}$?>\\n</tex-math>\\n<mml:math overflow=\\\"scroll\\\"><mml:mrow><mml:msubsup><mml:mi>Λ</mml:mi><mml:mi>c</mml:mi><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math>\\n<inline-graphic xlink:href=\\\"cpl_41_2_021302_ieqn11.gif\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula> baryon.\",\"PeriodicalId\":10344,\"journal\":{\"name\":\"Chinese Physics Letters\",\"volume\":\"176 1\",\"pages\":\"\"},\"PeriodicalIF\":3.5000,\"publicationDate\":\"2024-02-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Chinese Physics Letters\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1088/0256-307x/41/2/021302\",\"RegionNum\":2,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chinese Physics Letters","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1088/0256-307x/41/2/021302","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0

摘要

在扩展的矢量介子主导模型中,我们研究了e+e-→Λc+Λ¯c-反应和粲重子Λc+的电磁形式因子。模型参数是通过拟合过程 e+e-→Λc+Λ¯c- 的截面和Λc+的磁形式因子|GM|来确定的。通过考虑四种类粲态,即ψ(4500)、ψ(4660)、ψ(4790)和ψ(4900),我们可以很好地描述目前从反应阈值到4.96 GeV的e+e-→Λc+Λ¯c-反应的数据。除了总截面和|GM|之外,我们还计算了Λc+的比值|GE/GM|和有效形式因子|Geff|,发现这些计算与实验数据是一致的。在拟合的模型参数范围内,我们还估算了粲Λc+重子的电荷半径。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
e+e−→Λc+Λ¯c− Cross Sections and the Λc+ Electromagnetic Form Factors within the Extended Vector Meson Dominance Model
Within the extended vector meson dominance model, we investigate the e+eΛc+Λ¯c reaction and the electromagnetic form factors of the charmed baryon Λc+ . The model parameters are determined by fitting them to the cross sections of the process e+eΛc+Λ¯c and the magnetic form factor |G M| of Λc+ . By considering four charmonium-like states, called ψ(4500), ψ(4660), ψ(4790), and ψ(4900), we can well describe the current data on the e+eΛc+Λ¯c reaction from the reaction threshold up to 4.96 GeV. In addition to the total cross sections and |G M|, the ratio |G E/G M| and the effective form factor |G eff| for Λc+ are also calculated, and found that these calculations are consistent with the experimental data. Within the fitted model parameters, we have also estimated the charge radius of the charmed Λc+ baryon.
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来源期刊
Chinese Physics Letters
Chinese Physics Letters 物理-物理:综合
CiteScore
5.90
自引率
8.60%
发文量
13238
审稿时长
4 months
期刊介绍: Chinese Physics Letters provides rapid publication of short reports and important research in all fields of physics and is published by the Chinese Physical Society and hosted online by IOP Publishing.
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