{"title":"以矢量耦合常数gρ = 为值的NJL模型中e+e− → π+π−和τ− → π−π0ντ过程的描述","authors":"M.K. Volkov , A.A. Pivovarov , K. Nurlan","doi":"10.1016/j.nuclphysa.2024.122992","DOIUrl":null,"url":null,"abstract":"<div><div>It is shown that the processes <span><math><msup><mrow><mi>e</mi></mrow><mrow><mo>+</mo></mrow></msup><msup><mrow><mi>e</mi></mrow><mrow><mo>−</mo></mrow></msup><mo>→</mo><msup><mrow><mi>π</mi></mrow><mrow><mo>+</mo></mrow></msup><msup><mrow><mi>π</mi></mrow><mrow><mo>−</mo></mrow></msup></math></span> and <span><math><msup><mrow><mi>τ</mi></mrow><mrow><mo>−</mo></mrow></msup><mo>→</mo><msup><mrow><mi>π</mi></mrow><mrow><mo>−</mo></mrow></msup><msup><mrow><mi>π</mi></mrow><mrow><mn>0</mn></mrow></msup><msub><mrow><mi>ν</mi></mrow><mrow><mi>τ</mi></mrow></msub></math></span> can be described in a unified approach in satisfactory agreement with experiment using the vector coupling constant <span><math><msub><mrow><mi>g</mi></mrow><mrow><mi>ρ</mi></mrow></msub><mo>=</mo><mn>6</mn></math></span>. In this case, in addition to quark loops, it is also necessary to take into account meson loops corresponding to the next order in <span><math><mn>1</mn><mo>/</mo><msub><mrow><mi>N</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span>. These loops must be taken into account when describing the <span><math><mi>γ</mi><mo>(</mo><mi>W</mi><mo>)</mo><mo>→</mo><mi>ρ</mi></math></span> transition, as well as in interaction of mesons in the final state.</div></div>","PeriodicalId":19246,"journal":{"name":"Nuclear Physics A","volume":"1054 ","pages":"Article 122992"},"PeriodicalIF":1.7000,"publicationDate":"2024-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Description of the processes e+e− → π+π− and τ− → π−π0ντ in the NJL model with value of the vector coupling constant gρ = 6\",\"authors\":\"M.K. Volkov , A.A. Pivovarov , K. Nurlan\",\"doi\":\"10.1016/j.nuclphysa.2024.122992\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>It is shown that the processes <span><math><msup><mrow><mi>e</mi></mrow><mrow><mo>+</mo></mrow></msup><msup><mrow><mi>e</mi></mrow><mrow><mo>−</mo></mrow></msup><mo>→</mo><msup><mrow><mi>π</mi></mrow><mrow><mo>+</mo></mrow></msup><msup><mrow><mi>π</mi></mrow><mrow><mo>−</mo></mrow></msup></math></span> and <span><math><msup><mrow><mi>τ</mi></mrow><mrow><mo>−</mo></mrow></msup><mo>→</mo><msup><mrow><mi>π</mi></mrow><mrow><mo>−</mo></mrow></msup><msup><mrow><mi>π</mi></mrow><mrow><mn>0</mn></mrow></msup><msub><mrow><mi>ν</mi></mrow><mrow><mi>τ</mi></mrow></msub></math></span> can be described in a unified approach in satisfactory agreement with experiment using the vector coupling constant <span><math><msub><mrow><mi>g</mi></mrow><mrow><mi>ρ</mi></mrow></msub><mo>=</mo><mn>6</mn></math></span>. In this case, in addition to quark loops, it is also necessary to take into account meson loops corresponding to the next order in <span><math><mn>1</mn><mo>/</mo><msub><mrow><mi>N</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span>. These loops must be taken into account when describing the <span><math><mi>γ</mi><mo>(</mo><mi>W</mi><mo>)</mo><mo>→</mo><mi>ρ</mi></math></span> transition, as well as in interaction of mesons in the final state.</div></div>\",\"PeriodicalId\":19246,\"journal\":{\"name\":\"Nuclear Physics A\",\"volume\":\"1054 \",\"pages\":\"Article 122992\"},\"PeriodicalIF\":1.7000,\"publicationDate\":\"2024-11-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nuclear Physics A\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S037594742400174X\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, NUCLEAR\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nuclear Physics A","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S037594742400174X","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, NUCLEAR","Score":null,"Total":0}
Description of the processes e+e− → π+π− and τ− → π−π0ντ in the NJL model with value of the vector coupling constant gρ = 6
It is shown that the processes and can be described in a unified approach in satisfactory agreement with experiment using the vector coupling constant . In this case, in addition to quark loops, it is also necessary to take into account meson loops corresponding to the next order in . These loops must be taken into account when describing the transition, as well as in interaction of mesons in the final state.
期刊介绍:
Nuclear Physics A focuses on the domain of nuclear and hadronic physics and includes the following subsections: Nuclear Structure and Dynamics; Intermediate and High Energy Heavy Ion Physics; Hadronic Physics; Electromagnetic and Weak Interactions; Nuclear Astrophysics. The emphasis is on original research papers. A number of carefully selected and reviewed conference proceedings are published as an integral part of the journal.