{"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}
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+e−→Λc+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+e−→Λc+Λ¯c− and the magnetic form factor |GM| 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+e−→Λc+Λ¯c− reaction from the reaction threshold up to 4.96 GeV. In addition to the total cross sections and |GM|, the ratio |GE/GM| and the effective form factor |Geff| 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.
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.