{"title":"通过修正有效范围理论研究原子和分子低能正电子散射中的虚拟态和束缚态","authors":"K. Fedus, Grzegorz Karwasz","doi":"10.1088/2399-6528/ad4001","DOIUrl":null,"url":null,"abstract":"\n Modified effective range theory is applied as a tool to determine bound and virtual state energies in low-energy positron elastic scattering by atoms and molecules. This is achieved by the S-matrix continuation into the complex momentum plane, allowing to identify poles related to shallow energy states. The influence of the long-range polarization potential (~r^-4) on the bound and virtual-state pole positions is analyzed for noble gases and nonpolar molecules such as H2, N2, and CH4. The quantitative relations between the S-matrix poles and the s-wave scattering length accounting for dipole polarization are introduced.","PeriodicalId":47089,"journal":{"name":"Journal of Physics Communications","volume":null,"pages":null},"PeriodicalIF":1.1000,"publicationDate":"2024-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Virtual and bound states in low-energy positron scattering by atoms and molecules via modified effective range theory\",\"authors\":\"K. Fedus, Grzegorz Karwasz\",\"doi\":\"10.1088/2399-6528/ad4001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"\\n Modified effective range theory is applied as a tool to determine bound and virtual state energies in low-energy positron elastic scattering by atoms and molecules. This is achieved by the S-matrix continuation into the complex momentum plane, allowing to identify poles related to shallow energy states. The influence of the long-range polarization potential (~r^-4) on the bound and virtual-state pole positions is analyzed for noble gases and nonpolar molecules such as H2, N2, and CH4. The quantitative relations between the S-matrix poles and the s-wave scattering length accounting for dipole polarization are introduced.\",\"PeriodicalId\":47089,\"journal\":{\"name\":\"Journal of Physics Communications\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2024-04-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Physics Communications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1088/2399-6528/ad4001\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Physics Communications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/2399-6528/ad4001","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
摘要
在原子和分子的低能正电子弹性散射中,修正有效范围理论被用作确定束缚态和虚拟态能量的工具。这是通过将 S 矩阵延续到复动量平面来实现的,从而确定了与浅能态相关的极点。针对惰性气体和非极性分子(如 H2、N2 和 CH4),分析了长程极化势 (~r^-4) 对束缚态和虚态极点位置的影响。介绍了 S 矩阵极点与考虑偶极极化的 s 波散射长度之间的定量关系。
Virtual and bound states in low-energy positron scattering by atoms and molecules via modified effective range theory
Modified effective range theory is applied as a tool to determine bound and virtual state energies in low-energy positron elastic scattering by atoms and molecules. This is achieved by the S-matrix continuation into the complex momentum plane, allowing to identify poles related to shallow energy states. The influence of the long-range polarization potential (~r^-4) on the bound and virtual-state pole positions is analyzed for noble gases and nonpolar molecules such as H2, N2, and CH4. The quantitative relations between the S-matrix poles and the s-wave scattering length accounting for dipole polarization are introduced.