{"title":"On the Ground-state Energy of a Mixture of Two Different Oppositely Polarized Fermionic Gases","authors":"P. Chankowski, J. Wojtkiewicz","doi":"10.5506/aphyspolb.53.1-a3","DOIUrl":null,"url":null,"abstract":"We report the results of the computation of the order ( k F a 0 ) 2 correction, where k F = 3 π 2 ρ is the Fermi wave vector and a 0 the s -wave scattering length of the repulsive interaction, to the ground-state energy of a mixture of oppositely polarized N a spin 1 / 2 fermions a of masses m a and N b spin 1 / 2 fermions b of masses m b ( ρ = N/V , N = N a + N b ). It is shown that the results of the paper [1] in which the same correction has been computed entirely numerically, using a more traditional approach, can be easily and semianalytically reproduced using the effective field theory technique.","PeriodicalId":7060,"journal":{"name":"Acta Physica Polonica B","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2021-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Physica Polonica B","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.5506/aphyspolb.53.1-a3","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 1
Abstract
We report the results of the computation of the order ( k F a 0 ) 2 correction, where k F = 3 π 2 ρ is the Fermi wave vector and a 0 the s -wave scattering length of the repulsive interaction, to the ground-state energy of a mixture of oppositely polarized N a spin 1 / 2 fermions a of masses m a and N b spin 1 / 2 fermions b of masses m b ( ρ = N/V , N = N a + N b ). It is shown that the results of the paper [1] in which the same correction has been computed entirely numerically, using a more traditional approach, can be easily and semianalytically reproduced using the effective field theory technique.
我们报告的结果计算的顺序(k F(0) 2校正,其中2 k F = 3πρ是费米波矢和0 s波散射长度的排斥作用,面对面的混合物的基态能量极化N自旋1 / 2费米子质量m和N b旋转1 / 2费米子质量m b(ρ= N / V, N = N + N b)。结果表明,采用更传统的方法完全用数值方法计算相同的修正量,可以很容易地用有效场论技术半解析地再现。
期刊介绍:
Acta Physica Polonica B covers the following areas of physics:
-General and Mathematical Physics-
Particle Physics and Field Theory-
Nuclear Physics-
Theory of Relativity and Astrophysics-
Statistical Physics