中文摘要：

文章采用平均场理论近似研究球对称玻色-爱因斯坦凝聚中三个低能呼吸模的朗道阻尼和频移,解析计算阻尼系数和频移大小及它们的温度依赖,以期对理论和实验研究提供一定的参考价值。

英文摘要：

The Landau damping and frequency-shift of three low-energy breathing mode in a spherical BoseEinstein condensate are investigated by using the mean-field theory approximation. The damping rate and frequency-shift magnitude and their temperature dependence are analytically calculated in order to provide the certain reference value for theoretical and experimental research.