Using collision data collected with the BESIII detector operating at the BEPCII collider, the Born cross sections of and are measured for the first time at center-of-mass energies of and 4950.9 MeV. Nonzero cross sections are observed very close to the production threshold. The measured Born cross sections of are about 2–3 times greater than those of , providing the similar behavior as semileptonic decays of , but different behavior from that in the hadronic decays of . The Born cross sections are and for , and are and for at and 4950.9 MeV, respectively. Based on the polar angle distributions of the and , the form-factor ratios are determined for for the first time, which are and at and 4950.9 MeV, respectively. All of these first uncertainties are statistical and second systematic.
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Zhou", "affiliations": [ { "country": "China", "value": "Jilin University, Changchun 130012, People\u2019s Republic of China" } ], "surname": "Zhou", "given_names": "J.\u2009Y.", "full_name": "Zhou, J.\u2009Y." }, { "raw_name": "L.\u2009P. Zhou", "affiliations": [ { "country": "China", "value": "Institute of High Energy Physics, Beijing 100049, People\u2019s Republic of China" }, { "country": "China", "value": "University of Chinese Academy of Sciences, Beijing 100049, People\u2019s Republic of China" } ], "surname": "Zhou", "given_names": "L.\u2009P.", "full_name": "Zhou, L.\u2009P." }, { "raw_name": "X. Zhou", "affiliations": [ { "country": "China", "value": "Wuhan University, Wuhan 430072, People\u2019s Republic of China" } ], "surname": "Zhou", "given_names": "X.", "full_name": "Zhou, X." }, { "raw_name": "X.\u2009K. Zhou", "affiliations": [ { "country": "China", "value": "Central China Normal University, Wuhan 430079, People\u2019s Republic of China" } ], "surname": "Zhou", "given_names": "X.\u2009K.", "full_name": "Zhou, X.\u2009K." }, { "raw_name": "X.\u2009R. Zhou", "affiliations": [ { "country": "China", "value": "State Key Laboratory of Particle Detection and Electronics, Beijing 100049, Hefei 230026, People\u2019s Republic of China" }, { "country": "China", "value": "University of Science and Technology of China, Hefei 230026, People\u2019s Republic of China" } ], "surname": "Zhou", "given_names": "X.\u2009R.", "full_name": "Zhou, X.\u2009R." }, { "raw_name": "X.\u2009Y. Zhou", "affiliations": [ { "country": "China", "value": "Liaoning Normal University, Dalian 116029, People\u2019s Republic of China" } ], "surname": "Zhou", "given_names": "X.\u2009Y.", "full_name": "Zhou, X.\u2009Y." }, { "raw_name": "Y.\u2009Z. Zhou", "affiliations": [ { "country": "China", "value": "Fudan University, Shanghai 200433, People\u2019s Republic of China" } ], "surname": "Zhou", "given_names": "Y.\u2009Z.", "full_name": "Zhou, Y.\u2009Z." }, { "raw_name": "J. Zhu", "affiliations": [ { "country": "China", "value": "Nankai University, Tianjin 300071, People\u2019s Republic of China" } ], "surname": "Zhu", "given_names": "J.", "full_name": "Zhu, J." }, { "raw_name": "K. Zhu", "affiliations": [ { "country": "China", "value": "Institute of High Energy Physics, Beijing 100049, People\u2019s Republic of China" } ], "surname": "Zhu", "given_names": "K.", "full_name": "Zhu, K." }, { "raw_name": "K.\u2009J. Zhu", "affiliations": [ { "country": "China", "value": "Institute of High Energy Physics, Beijing 100049, People\u2019s Republic of China" }, { "country": "China", "value": "State Key Laboratory of Particle Detection and Electronics, Beijing 100049, Hefei 230026, People\u2019s Republic of China" }, { "country": "China", "value": "University of Chinese Academy of Sciences, Beijing 100049, People\u2019s Republic of China" } ], "surname": "Zhu", "given_names": "K.\u2009J.", "full_name": "Zhu, K.\u2009J." }, { "raw_name": "L. Zhu", "affiliations": [ { "country": "China", "value": "Jilin University, Changchun 130012, People\u2019s Republic of China" } ], "surname": "Zhu", "given_names": "L.", "full_name": "Zhu, L." }, { "raw_name": "L.\u2009X. Zhu", "affiliations": [ { "country": "China", "value": "University of Chinese Academy of Sciences, Beijing 100049, People\u2019s Republic of China" } ], "surname": "Zhu", "given_names": "L.\u2009X.", "full_name": "Zhu, L.\u2009X." }, { "raw_name": "S.\u2009H. Zhu", "affiliations": [ { "country": "China", "value": "University of Science and Technology Liaoning, Anshan 114051, People\u2019s Republic of China" } ], "surname": "Zhu", "given_names": "S.\u2009H.", "full_name": "Zhu, S.\u2009H." }, { "raw_name": "S.\u2009Q. Zhu", "affiliations": [ { "country": "China", "value": "Nanjing University, Nanjing 210093, People\u2019s Republic of China" } ], "surname": "Zhu", "given_names": "S.\u2009Q.", "full_name": "Zhu, S.\u2009Q." }, { "raw_name": "T.\u2009J. Zhu", "affiliations": [ { "country": "China", "value": "Fudan University, Shanghai 200433, People\u2019s Republic of China" } ], "surname": "Zhu", "given_names": "T.\u2009J.", "full_name": "Zhu, T.\u2009J." }, { "raw_name": "W.\u2009J. Zhu", "affiliations": [ { "country": "China", "value": "Fudan University, Shanghai 200433, People\u2019s Republic of China" } ], "surname": "Zhu", "given_names": "W.\u2009J.", "full_name": "Zhu, W.\u2009J." }, { "raw_name": "Y.\u2009C. Zhu", "affiliations": [ { "country": "China", "value": "State Key Laboratory of Particle Detection and Electronics, Beijing 100049, Hefei 230026, People\u2019s Republic of China" }, { "country": "China", "value": "University of Science and Technology of China, Hefei 230026, People\u2019s Republic of China" } ], "surname": "Zhu", "given_names": "Y.\u2009C.", "full_name": "Zhu, Y.\u2009C." }, { "raw_name": "Z.\u2009A. Zhu", "affiliations": [ { "country": "China", "value": "Institute of High Energy Physics, Beijing 100049, People\u2019s Republic of China" }, { "country": "China", "value": "University of Chinese Academy of Sciences, Beijing 100049, People\u2019s Republic of China" } ], "surname": "Zhu", "given_names": "Z.\u2009A.", "full_name": "Zhu, Z.\u2009A." }, { "raw_name": "J.\u2009H. Zou", "affiliations": [ { "country": "China", "value": "Institute of High Energy Physics, Beijing 100049, People\u2019s Republic of China" } ], "surname": "Zou", "given_names": "J.\u2009H.", "full_name": "Zou, J.\u2009H." }, { "raw_name": "J. Zu", "affiliations": [ { "country": "China", "value": "State Key Laboratory of Particle Detection and Electronics, Beijing 100049, Hefei 230026, People\u2019s Republic of China" }, { "country": "China", "value": "University of Science and Technology of China, Hefei 230026, People\u2019s Republic of China" } ], "surname": "Zu", "given_names": "J.", "full_name": "Zu, J." } ], "titles": [ { "source": "APS", "title": "Measurements of Born cross sections for <math><mrow><msup><mrow><mi>e</mi></mrow><mrow><mo>+</mo></mrow></msup><msup><mrow><mi>e</mi></mrow><mrow><mo>\u2212</mo></mrow></msup><mo>\u2192</mo><msubsup><mrow><mi>\u039b</mi></mrow><mrow><mi>c</mi></mrow><mrow><mo>+</mo></mrow></msubsup><msub><mrow><mover><mrow><mi>\u039b</mi></mrow><mrow><mo>\u00af</mo></mrow></mover></mrow><mrow><mi>c</mi></mrow></msub><mo>(</mo><mn>2595</mn><msup><mrow><mo>)</mo></mrow><mrow><mo>\u2212</mo></mrow></msup><mo>+</mo><mi>c</mi><mo>.</mo><mi>c</mi><mo>.</mo></mrow></math> and <math><mrow><msup><mrow><mi>e</mi></mrow><mrow><mo>+</mo></mrow></msup><msup><mrow><mi>e</mi></mrow><mrow><mo>\u2212</mo></mrow></msup><mo>\u2192</mo><msubsup><mrow><mi>\u039b</mi></mrow><mrow><mi>c</mi></mrow><mrow><mo>+</mo></mrow></msubsup><msub><mrow><mover><mrow><mi>\u039b</mi></mrow><mrow><mo>\u00af</mo></mrow></mover></mrow><mrow><mi>c</mi></mrow></msub><mo>(</mo><mn>2625</mn><msup><mrow><mo>)</mo></mrow><mrow><mo>\u2212</mo></mrow></msup><mo>+</mo><mi>c</mi><mo>.</mo><mi>c</mi><mo>.</mo></mrow></math> at <math><mrow><msqrt><mrow><mi>s</mi></mrow></msqrt><mo>=</mo><mn>4918.0</mn></mrow></math> and 4950.9 MeV" } ], "dois": [ { "value": "10.1103/PhysRevD.109.L071104" } ], "publication_info": [ { "journal_volume": "109", "journal_title": "Physical Review D", "material": "other", "journal_issue": "7", "year": 2024 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2024-05-23T00:30:16.629076", "source": "APS", "method": "APS", "submission_number": "96c7ab6a189b11efa96f6a3e651b8b98" }, "page_nr": [ 10 ], "license": [ { "url": "https://creativecommons.org/licenses/by/4.0/", "license": "CC-BY-4.0" } ], "copyright": [ { "statement": "Published by the American Physical Society", "year": "2024" } ], "control_number": "85060", "collaborations": [ { "value": "BESIII Collaboration" } ], "_files": [ { "checksum": "md5:a1664001ec658dbc2452aae2504fa3ec", "filetype": "pdf", "bucket": "0e4ce774-7b61-4485-b540-d1decf9f8326", "version_id": "6f3568d9-2c1c-4f63-bab4-99c851e878c5", "key": "10.1103/PhysRevD.109.L071104.pdf", "size": 407193 }, { "checksum": "md5:bc4f24457da4ee944749d36b3477f1f9", "filetype": "xml", "bucket": "0e4ce774-7b61-4485-b540-d1decf9f8326", "version_id": "6cf996a3-2dd6-42c8-b321-8d5d76236a5d", "key": "10.1103/PhysRevD.109.L071104.xml", "size": 313096 } ], "record_creation_date": "2024-04-30T16:30:03.462200", "collections": [ { "primary": "HEP" }, { "primary": "Citeable" }, { "primary": "Published" } ], "arxiv_eprints": [ { "categories": [ "hep-ex" ], "value": "2312.08414" } ], "abstracts": [ { "source": "APS", "value": "Using <math><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>\u2212</mo></msup></math> collision data collected with the BESIII detector operating at the BEPCII collider, the Born cross sections of <math><mrow><msup><mrow><mi>e</mi></mrow><mrow><mo>+</mo></mrow></msup><msup><mrow><mi>e</mi></mrow><mrow><mo>\u2212</mo></mrow></msup><mo>\u2192</mo><msubsup><mrow><mi>\u039b</mi></mrow><mrow><mi>c</mi></mrow><mrow><mo>+</mo></mrow></msubsup><msub><mrow><mover><mrow><mi>\u039b</mi></mrow><mrow><mo>\u00af</mo></mrow></mover></mrow><mrow><mi>c</mi></mrow></msub><mo>(</mo><mn>2595</mn><msup><mrow><mo>)</mo></mrow><mrow><mo>\u2212</mo></mrow></msup><mo>+</mo><mi>c</mi><mo>.</mo><mi>c</mi><mo>.</mo></mrow></math> and <math><mrow><msup><mrow><mi>e</mi></mrow><mrow><mo>+</mo></mrow></msup><msup><mrow><mi>e</mi></mrow><mrow><mo>\u2212</mo></mrow></msup><mo>\u2192</mo><msubsup><mrow><mi>\u039b</mi></mrow><mrow><mi>c</mi></mrow><mrow><mo>+</mo></mrow></msubsup><msub><mrow><mover><mrow><mi>\u039b</mi></mrow><mrow><mo>\u00af</mo></mrow></mover></mrow><mrow><mi>c</mi></mrow></msub><mo>(</mo><mn>2625</mn><msup><mrow><mo>)</mo></mrow><mrow><mo>\u2212</mo></mrow></msup><mo>+</mo><mi>c</mi><mo>.</mo><mi>c</mi><mo>.</mo></mrow></math> are measured for the first time at center-of-mass energies of <math><msqrt><mi>s</mi></msqrt><mo>=</mo><mn>4918.0</mn></math> and 4950.9 MeV. Nonzero cross sections are observed very close to the production threshold. The measured Born cross sections of <math><mrow><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>\u2212</mo></msup><mo>\u2192</mo><msubsup><mi>\u039b</mi><mi>c</mi><mo>+</mo></msubsup><msub><mover><mi>\u039b</mi><mo>\u00af</mo></mover><mi>c</mi></msub><mo>(</mo><mn>2625</mn><msup><mo>)</mo><mo>\u2212</mo></msup></mrow><mo>+</mo><mi>c</mi><mo>.</mo><mi>c</mi><mo>.</mo></math> are about 2\u20133 times greater than those of <math><mrow><mrow><msup><mrow><mi>e</mi></mrow><mrow><mo>+</mo></mrow></msup><msup><mrow><mi>e</mi></mrow><mrow><mo>\u2212</mo></mrow></msup><mo>\u2192</mo><msubsup><mrow><mi>\u039b</mi></mrow><mrow><mi>c</mi></mrow><mrow><mo>+</mo></mrow></msubsup><msub><mrow><mover><mrow><mi>\u039b</mi></mrow><mrow><mo>\u00af</mo></mrow></mover></mrow><mrow><mi>c</mi></mrow></msub><mo>(</mo><mn>2595</mn><msup><mrow><mo>)</mo></mrow><mrow><mo>\u2212</mo></mrow></msup></mrow><mo>+</mo><mi>c</mi><mo>.</mo><mi>c</mi><mo>.</mo></mrow></math>, providing the similar behavior as semileptonic decays of <math><msubsup><mi>\u039b</mi><mi>b</mi><mn>0</mn></msubsup></math>, but different behavior from that in the hadronic decays of <math><msubsup><mi>\u039b</mi><mi>b</mi><mn>0</mn></msubsup></math>. The Born cross sections are <math><mrow><mn>15.6</mn><mo>\u00b1</mo><mn>3.1</mn><mo>\u00b1</mo><mn>0.9</mn><mtext> </mtext><mtext> </mtext><mi>pb</mi></mrow></math> and <math><mrow><mn>29.4</mn><mo>\u00b1</mo><mn>3.7</mn><mo>\u00b1</mo><mn>2.7</mn><mtext> </mtext><mtext> </mtext><mi>pb</mi></mrow></math> for <math><mrow><mrow><msup><mrow><mi>e</mi></mrow><mrow><mo>+</mo></mrow></msup><msup><mrow><mi>e</mi></mrow><mrow><mo>\u2212</mo></mrow></msup><mo>\u2192</mo><msubsup><mrow><mi>\u039b</mi></mrow><mrow><mi>c</mi></mrow><mrow><mo>+</mo></mrow></msubsup><msub><mrow><mover><mrow><mi>\u039b</mi></mrow><mrow><mo>\u00af</mo></mrow></mover></mrow><mrow><mi>c</mi></mrow></msub><mo>(</mo><mn>2595</mn><msup><mrow><mo>)</mo></mrow><mrow><mo>\u2212</mo></mrow></msup></mrow><mo>+</mo><mi>c</mi><mo>.</mo><mi>c</mi><mo>.</mo></mrow></math>, and are <math><mn>43.4</mn><mo>\u00b1</mo><mn>4.0</mn><mo>\u00b1</mo><mn>4.1</mn><mtext> </mtext><mtext> </mtext><mi>pb</mi></math> and <math><mn>76.8</mn><mo>\u00b1</mo><mn>6.5</mn><mo>\u00b1</mo><mn>4.2</mn><mtext> </mtext><mtext> </mtext><mi>pb</mi></math> for <math><mrow><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>\u2212</mo></msup><mo>\u2192</mo><msubsup><mi>\u039b</mi><mi>c</mi><mo>+</mo></msubsup><msub><mover><mi>\u039b</mi><mo>\u00af</mo></mover><mi>c</mi></msub><mo>(</mo><mn>2625</mn><msup><mo>)</mo><mo>\u2212</mo></msup></mrow><mo>+</mo><mi>c</mi><mo>.</mo><mi>c</mi><mo>.</mo></math> at <math><msqrt><mi>s</mi></msqrt><mo>=</mo><mn>4918.0</mn></math> and 4950.9 MeV, respectively. Based on the polar angle distributions of the <math><msub><mover><mi>\u039b</mi><mo>\u00af</mo></mover><mi>c</mi></msub><mo>(</mo><mn>2625</mn><msup><mo>)</mo><mo>\u2212</mo></msup></math> and <math><msub><mi>\u039b</mi><mi>c</mi></msub><mo>(</mo><mn>2625</mn><msup><mo>)</mo><mo>+</mo></msup></math>, the form-factor ratios <math><msqrt><mrow><mo>|</mo><msub><mi>G</mi><mi>E</mi></msub><msup><mo>|</mo><mn>2</mn></msup><mo>+</mo><mn>3</mn><mo>|</mo><msub><mi>G</mi><mi>M</mi></msub><msup><mo>|</mo><mn>2</mn></msup></mrow></msqrt><mo>/</mo><mo>|</mo><msub><mi>G</mi><mi>C</mi></msub><mo>|</mo></math> are determined for <math><mrow><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>\u2212</mo></msup><mo>\u2192</mo><msubsup><mi>\u039b</mi><mi>c</mi><mo>+</mo></msubsup><msub><mover><mi>\u039b</mi><mo>\u00af</mo></mover><mi>c</mi></msub><mo>(</mo><mn>2625</mn><msup><mo>)</mo><mo>\u2212</mo></msup></mrow><mo>+</mo><mi>c</mi><mo>.</mo><mi>c</mi><mo>.</mo></math> for the first time, which are <math><mn>5.95</mn><mo>\u00b1</mo><mn>4.07</mn><mo>\u00b1</mo><mn>0.15</mn></math> and <math><mn>0.94</mn><mo>\u00b1</mo><mn>0.32</mn><mo>\u00b1</mo><mn>0.02</mn></math> at <math><msqrt><mi>s</mi></msqrt><mo>=</mo><mn>4918.0</mn></math> and 4950.9 MeV, respectively. All of these first uncertainties are statistical and second systematic." } ], "imprints": [ { "date": "2024-04-30", "publisher": "APS" } ] }