𝑎1(1260)介子在𝑒+𝑒-→𝜋+𝜋-𝜋0过程中的表现形式

IF 5 2区物理与天体物理 Q1 Physics and Astronomy Physical Review D Pub Date : 2024-11-05 DOI:10.1103/physrevd.110.094003

I. V. Obraztsov, A. S. Rudenko, A. I. Milstein

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data-semantic-role=\"implicit\" data-semantic-type=\"infixop\" space=\"4\"><mjx-msup data-semantic-children=\"7,8\" data-semantic- data-semantic-owns=\"7 8\" data-semantic-parent=\"20\" data-semantic-role=\"greekletter\" data-semantic-type=\"superscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"9\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\"><mjx-c>𝜋</mjx-c></mjx-mi><mjx-script style=\"vertical-align: 0.363em;\"><mjx-mo data-semantic- data-semantic-parent=\"9\" data-semantic-role=\"addition\" data-semantic-type=\"operator\" size=\"s\"><mjx-c>+</mjx-c></mjx-mo></mjx-script></mjx-msup><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"20\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-msup data-semantic-children=\"10,11\" data-semantic- data-semantic-owns=\"10 11\" data-semantic-parent=\"20\" data-semantic-role=\"greekletter\" data-semantic-type=\"superscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"12\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\"><mjx-c>𝜋</mjx-c></mjx-mi><mjx-script style=\"vertical-align: 0.363em;\"><mjx-mo data-semantic- data-semantic-parent=\"12\" data-semantic-role=\"subtraction\" data-semantic-type=\"operator\" size=\"s\"><mjx-c>−</mjx-c></mjx-mo></mjx-script></mjx-msup><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"20\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-msup data-semantic-children=\"13,14\" data-semantic- data-semantic-owns=\"13 14\" data-semantic-parent=\"20\" data-semantic-role=\"greekletter\" data-semantic-type=\"superscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"15\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\"><mjx-c>𝜋</mjx-c></mjx-mi><mjx-script style=\"vertical-align: 0.363em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"15\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>0</mjx-c></mjx-mn></mjx-script></mjx-msup></mjx-mrow></mjx-math></mjx-container> is studied taking into account a longitudinal polarization of electrons (positrons). The asymmetry arises due to interference of amplitudes corresponding to production of pions in states with charge parity odd and charge parity even. It is a manifestation of <mjx-container ctxtmenu_counter=\"29\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-annotation=\"clearspeak:simple\" data-semantic-children=\"2,6\" data-semantic-content=\"7,0\" data-semantic- data-semantic-owns=\"2 7 6\" data-semantic-role=\"simple function\" data-semantic-speech=\"a 1 left parenthesis 1260 right parenthesis\" data-semantic-structure=\"(8 (2 0 1) 7 (6 3 4 5))\" data-semantic-type=\"appl\"><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-owns=\"0 1\" data-semantic-parent=\"8\" data-semantic-role=\"simple function\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-operator=\"appl\" data-semantic-parent=\"2\" data-semantic-role=\"simple function\" data-semantic-type=\"identifier\"><mjx-c>𝑎</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>1</mjx-c></mjx-mn></mjx-script></mjx-msub><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"appl\" data-semantic-parent=\"8\" data-semantic-role=\"application\" data-semantic-type=\"punctuation\"><mjx-c>⁡</mjx-c></mjx-mo><mjx-mrow data-semantic-added=\"true\" data-semantic-children=\"4\" data-semantic-content=\"3,5\" data-semantic- data-semantic-owns=\"3 4 5\" data-semantic-parent=\"8\" data-semantic-role=\"leftright\" data-semantic-type=\"fenced\"><mjx-mo data-semantic- data-semantic-operator=\"fenced\" data-semantic-parent=\"6\" data-semantic-role=\"open\" data-semantic-type=\"fence\" style=\"vertical-align: -0.02em;\"><mjx-c>(</mjx-c></mjx-mo><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"6\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c noic=\"true\" style=\"padding-top: 0.646em;\">1</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.646em;\">2</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.646em;\">6</mjx-c><mjx-c style=\"padding-top: 0.646em;\">0</mjx-c></mjx-mn><mjx-mo data-semantic- data-semantic-operator=\"fenced\" data-semantic-parent=\"6\" data-semantic-role=\"close\" data-semantic-type=\"fence\" style=\"vertical-align: -0.02em;\"><mjx-c>)</mjx-c></mjx-mo></mjx-mrow></mjx-math></mjx-container> meson in the intermediate state. Polarization leads to additional correlations in the differential cross section, which simplifies the experimental study of the process. It is shown that the charge asymmetry can reach several percent.","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"87 1","pages":""},"PeriodicalIF":5.0000,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Manifestation of𝑎1⁡(1260)meson in the process𝑒+⁢𝑒−→𝜋+⁢𝜋−⁢𝜋0\",\"authors\":\"I. V. Obraztsov, A. S. Rudenko, A. I. 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size=\\\"s\\\"><mjx-c>−</mjx-c></mjx-mo></mjx-script></mjx-msup><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"infixop,⁢\\\" data-semantic-parent=\\\"20\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-msup data-semantic-children=\\\"13,14\\\" data-semantic- data-semantic-owns=\\\"13 14\\\" data-semantic-parent=\\\"20\\\" data-semantic-role=\\\"greekletter\\\" data-semantic-type=\\\"superscript\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"15\\\" data-semantic-role=\\\"greekletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝜋</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: 0.363em;\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"15\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c>0</mjx-c></mjx-mn></mjx-script></mjx-msup></mjx-mrow></mjx-math></mjx-container> is studied taking into account a longitudinal polarization of electrons (positrons). The asymmetry arises due to interference of amplitudes corresponding to production of pions in states with charge parity odd and charge parity even. It is a manifestation of <mjx-container ctxtmenu_counter=\\\"29\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-children=\\\"2,6\\\" data-semantic-content=\\\"7,0\\\" data-semantic- data-semantic-owns=\\\"2 7 6\\\" data-semantic-role=\\\"simple function\\\" data-semantic-speech=\\\"a 1 left parenthesis 1260 right parenthesis\\\" data-semantic-structure=\\\"(8 (2 0 1) 7 (6 3 4 5))\\\" data-semantic-type=\\\"appl\\\"><mjx-msub data-semantic-children=\\\"0,1\\\" data-semantic- data-semantic-owns=\\\"0 1\\\" data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"simple function\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-operator=\\\"appl\\\" data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"simple function\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝑎</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em;\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c>1</mjx-c></mjx-mn></mjx-script></mjx-msub><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"appl\\\" data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"application\\\" data-semantic-type=\\\"punctuation\\\"><mjx-c>⁡</mjx-c></mjx-mo><mjx-mrow data-semantic-added=\\\"true\\\" data-semantic-children=\\\"4\\\" data-semantic-content=\\\"3,5\\\" data-semantic- data-semantic-owns=\\\"3 4 5\\\" data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"leftright\\\" data-semantic-type=\\\"fenced\\\"><mjx-mo data-semantic- data-semantic-operator=\\\"fenced\\\" data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"open\\\" data-semantic-type=\\\"fence\\\" style=\\\"vertical-align: -0.02em;\\\"><mjx-c>(</mjx-c></mjx-mo><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.646em;\\\">1</mjx-c><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.646em;\\\">2</mjx-c><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.646em;\\\">6</mjx-c><mjx-c style=\\\"padding-top: 0.646em;\\\">0</mjx-c></mjx-mn><mjx-mo data-semantic- data-semantic-operator=\\\"fenced\\\" data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"close\\\" data-semantic-type=\\\"fence\\\" style=\\\"vertical-align: -0.02em;\\\"><mjx-c>)</mjx-c></mjx-mo></mjx-mrow></mjx-math></mjx-container> meson in the intermediate state. Polarization leads to additional correlations in the differential cross section, which simplifies the experimental study of the process. It is shown that the charge asymmetry can reach several percent.\",\"PeriodicalId\":20167,\"journal\":{\"name\":\"Physical Review D\",\"volume\":\"87 1\",\"pages\":\"\"},\"PeriodicalIF\":5.0000,\"publicationDate\":\"2024-11-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physical Review D\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1103/physrevd.110.094003\",\"RegionNum\":2,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Physics and Astronomy\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review D","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevd.110.094003","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}

引用次数: 0

摘要

考虑到电子（正电子）的纵向极化，研究了𝑒+𝑒-→𝜋+𝜋-𝜋0过程中的电荷不对称性。这种不对称性是由于在电荷奇偶性和电荷偶奇偶性状态下产生的离子所对应的振幅相互干扰而产生的。这是𝑎1(1260)介子在中间态的一种表现形式。极化导致了微分截面的额外相关性，从而简化了这一过程的实验研究。实验表明，电荷不对称可以达到百分之几。

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Manifestation of𝑎1⁡(1260)meson in the process𝑒+⁢𝑒−→𝜋+⁢𝜋−⁢𝜋0

The charge asymmetry in the process

𝑒 + 𝑒 - \to 𝜋 + 𝜋 - 𝜋 0

is studied taking into account a longitudinal polarization of electrons (positrons). The asymmetry arises due to interference of amplitudes corresponding to production of pions in states with charge parity odd and charge parity even. It is a manifestation of

𝑎 1 (1260)

meson in the intermediate state. Polarization leads to additional correlations in the differential cross section, which simplifies the experimental study of the process. It is shown that the charge asymmetry can reach several percent.

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来源期刊

Physical Review D 物理-天文与天体物理

CiteScore

9.20

自引率

36.00%

发文量

审稿时长

2 months

期刊介绍： Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics. PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including: Particle physics experiments, Electroweak interactions, Strong interactions, Lattice field theories, lattice QCD, Beyond the standard model physics, Phenomenological aspects of field theory, general methods, Gravity, cosmology, cosmic rays, Astrophysics and astroparticle physics, General relativity, Formal aspects of field theory, field theory in curved space, String theory, quantum gravity, gauge/gravity duality.