{"title":"双原子系统的结合能和散射长度","authors":"B. Gao","doi":"10.1088/0953-4075/37/21/004","DOIUrl":null,"url":null,"abstract":"We discuss the relationship between scattering length and binding energy for a diatomic system with long-range van der Waals interaction. The well-known relation, ϵ0 = −(ℏ2/2μ)(1/a0)2, is generalized to much higher orders for the s wave. Analytic results for the binding energies of p and higher angular momentum states are also presented.","PeriodicalId":16799,"journal":{"name":"Journal of Physics B","volume":"18 1","pages":"4273-4279"},"PeriodicalIF":0.0000,"publicationDate":"2004-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"19","resultStr":"{\"title\":\"Binding energy and scattering length for diatomic systems\",\"authors\":\"B. Gao\",\"doi\":\"10.1088/0953-4075/37/21/004\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We discuss the relationship between scattering length and binding energy for a diatomic system with long-range van der Waals interaction. The well-known relation, ϵ0 = −(ℏ2/2μ)(1/a0)2, is generalized to much higher orders for the s wave. Analytic results for the binding energies of p and higher angular momentum states are also presented.\",\"PeriodicalId\":16799,\"journal\":{\"name\":\"Journal of Physics B\",\"volume\":\"18 1\",\"pages\":\"4273-4279\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2004-11-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"19\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Physics B\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1088/0953-4075/37/21/004\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Physics B","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/0953-4075/37/21/004","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Binding energy and scattering length for diatomic systems
We discuss the relationship between scattering length and binding energy for a diatomic system with long-range van der Waals interaction. The well-known relation, ϵ0 = −(ℏ2/2μ)(1/a0)2, is generalized to much higher orders for the s wave. Analytic results for the binding energies of p and higher angular momentum states are also presented.
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