In this work, the CPT-violating (CPTV) interactions on neutrons’ gravitational bound state are studied. With simple analytical solutions, we provide a preliminary investigation into the Lorentz-violation (LV)-induced spin precession due to the ##IMG## [http://ej.iop.org/images/0954-3899/47/8/085002/gab8c30ieqn1.gif] {$\to {\sigma }\cdot \to {\tilde {b}}\left(1+gz\right)$} and ##IMG## [http://ej.iop.org/images/0954-3899/47/8/085002/gab8c30ieqn2.gif] {$\overline{b}/{m}_{I}\to {\sigma }\cdot \hat{\to {p}}$} couplings, where ##IMG## [http://ej.iop.org/images/0954-3899/47/8/085002/gab8c30ieqn3.gif] {$\to {\tilde {b}}$} and ##IMG## [http://ej.iop.org/images/0954-3899/47/8/085002/gab8c30ieqn4.gif] {$\overline{b}$} represent LV coefficients. The helicity-dependent couplings can induce unusual phase evolutions with position and momentum dependence. As ##IMG## [...] {$\to {\tilde {b}}$}

中文翻译：

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违反CPT对中子引力束缚态的影响

在这项工作中，研究了中子万有引力束缚态上违反CPT的相互作用。通过简单的分析解决方案，我们对由于## IMG ## [http://ej.iop.org/images/0954-3899/47/8 /085002/gab8c30ieqn1.gif] {$ \ to {\ sigma} \ cdot \ to {\ tilde {b}} \ left（1 + gz \ right）$}和## IMG ## [http：// ej。 iop.org/images/0954-3899/47/8/085002/gab8c30ieqn2.gif] {$ \ overline {b} / {m} _ {I} \ to {\ sigma} \ cdot \ hat {\ to {p }} $}耦合，其中## IMG ## [http://ej.iop.org/images/0954-3899/47/8/085002/gab8c30ieqn3.gif] {$ \ to {\ tilde {b}} $}和## IMG ## [http://ej.iop.org/images/0954-3899/47/8/085002/gab8c30ieqn4.gif] {$ \ overline {b} $}代表LV系数。依赖于螺旋度的耦合会引起与位置和动量有关的异常相变。