Influence of the chameleon field potential on transition frequencies of gravitationally bound quantum states of ultracold neutrons
Influence of the chameleon field potential on transition frequencies of gravitationally bound quantum states of ultracold neutrons
复制标题
DOI：
10.1103/physrevd.87.105013
复制
发表时间：
2012-07
影响因子：
5
通讯作者：
A. Ivanov;R. Höllwieser;T. Jenke;M. Wellenzohn;Hartmut Abele
中科院分区：
文献类型：
--
作者：
A. Ivanov;R. Höllwieser;T. Jenke;M. Wellenzohn;Hartmut Abele
我们计算了在地球引力场中，在一个中子镜上或两个中子镜之间反弹的超冷中子的变色龙场势。对于所得到的非线性运动方程，我们给出了近似的解析解，并与我们提出的解析拟合的精确数值解进行了比较。所得解可用于定量分析变色龙场对束缚在地球引力场中的超冷中子量子态跃迁频率的贡献。
We calculate the chameleon field potential for ultracold neutrons, bouncing on top of one or between two neutron mirrors in the gravitational field of the Earth. For the resulting non--linear equations of motion we give approximate analytical solutions and compare them with exact numerical ones for which we propose the analytical fit. The obtained solutions may be used for the quantitative analysis of contributions of a chameleon field to the transition frequencies of quantum states of ultra-cold neutrons bound in the gravitational field of the Earth.