论文标题
玻色子键合键长度到近代领先顺序的有效现场理论分析
Effective field theory analysis of boson-trimer bond lengths to next-to-leading order
论文作者
论文摘要
冷氦原子是一个独特的系统，在该系统中自然会发生单个激发的三体efimov状态，而无需外部磁场。虽然先前已经研究过冷氦原子的三体结合状态能量，但最近的实验技术也可以研究其结构。氦原子之间的较弱相互作用导致氦螺旋（二聚体）散射长度，$ a $，比氦螺旋的有效相互作用范围大得多，$ r $。该特征是在系统地扩展$ r/a $（称为短范围有效田间理论（SREFT）的能力的理论中，该特征被利用，该功能已成功地用于研究冷原子系统的属性。使用SREFT，我们研究了三体基态下原子的平均键长，并激发了Efimov冷氦原子状态。在SREFT中的领先（临近领先顺序）下，我们发现$^4 $ He Trimer基态的平均债券长度为8.35（33）Å（10.29（2）Å），而激动的$^4 $ He Trimer Efimov efimov State的平均债券长度为103（4）Å（4）Å（4）Å（105.3（105.3（2））。
Cold Helium atoms are a unique system where a single excited three-body Efimov state occurs, naturally, without the need for an external magnetic field. While three-body bound state energies of cold Helium atoms have previously been investigated, recent experimental techniques have allowed their structure to also be studied. The weak interaction between Helium atoms leads to a helium-helium (dimer) scattering length, $a$, much larger than the helium-helium effective range of interaction, $r$. This feature is exploited in a theory that systematically expands observables in powers of $r/a$, known as short range effective field theory (srEFT), which has been used successfully to investigate properties of cold atom systems. Using srEFT we investigate the average bond length of atoms in the three-body ground state and excited Efimov state of cold Helium atoms. At leading-order (next-to-leading order) in srEFT, we find the average bond length of the $^4$He trimer ground state is 8.35(33) Å (10.29(2) Å) and the average bond length of the excited $^4$He trimer Efimov state is 103(4) Å (105.3(2) Å).
