发表机构
School of Physics, University of New South Wales（新南威尔士大学物理学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究推导了有质量自旋1和自旋2玻色子与费米子耦合产生的自旋相关两费米子势，将新相互作用映射到Dobrescu-Mocioiu的16势基，得到了不同媒介子质量下耦合乘积的数值限制。
AI 中文摘要
对弱自旋相关力的搜索通常根据16种旋转不变的两费米子势V₁₋₁₆的基进行解释，其中包括破坏宇称（P）和时间反演（T）不变性的势。我们推导了与狄拉克费米子具有矢量、轴矢量、张量和赝张量耦合的有质量自旋1玻色子产生的有限范围坐标空间势。除了常见的矢量-矢量、矢量-轴矢量和轴矢量-轴矢量相互作用外，我们还得到了混合的矢量-张量、矢量-赝张量、轴矢量-张量和轴矢量-赝张量势，以及张量-张量、张量-赝张量和赝张量-赝张量项。我们保留了原子尺度应用所需的接触项，并给出了包含不等价费米子顶点两种序的紧凑表达式。随后，我们将分析扩展到由对称Fierz-Pauli场描述的有质量自旋2媒介子。除了与守恒费米子能量-动量张量的常规耦合外，我们还考虑了对称轴张量流。对于有质量费米子，该流不守恒，这使得纵向自旋2螺旋度对轴张量-轴张量交换有贡献。主导的最小自旋2相互作用要么是P、T偶，要么是P奇、T偶；特别地，它们不会产生T奇的势。我们还讨论了重媒介子接触极限，以及M→0的有质量自旋2极限与真正无质量引力子之间的区别。我们将新的相互作用映射到Dobrescu-Mocioiu的16种势基上，并利用该映射在小和大媒介子质量区域中获得了自旋1和自旋2耦合乘积现有限制的数值转换结果，同时给出了有限媒介子质量下的代表性限制。
英文摘要
Searches for weak spin-dependent forces are commonly interpreted in terms of a basis of sixteen rotationally invariant two-fermion potentials, including potentials which violate parity (P) and time-reversal (T) invariance. We derive finite-range coordinate-space potentials generated by a massive spin-1 boson with vector, axial-vector, tensor, and pseudotensor couplings to Dirac fermions. In addition to the familiar vector--vector, vector--axial-vector, and axial-vector--axial-vector interactions, we obtain the mixed vector--tensor, vector--pseudotensor, axial-vector--tensor, and axial-vector--pseudotensor potentials, together with tensor--tensor, tensor--pseudotensor, and pseudotensor--pseudotensor terms. We retain the contact terms needed in atomic-scale applications and give compact expressions that include both orderings of inequivalent fermion vertices. We then extend the analysis to a massive spin-2 mediator described by a symmetric Fierz--Pauli field. Besides the conventional coupling to the conserved fermion energy--momentum tensor, we consider a symmetric axial-tensor current. Its nonconservation for massive fermions makes the longitudinal spin-2 helicities contribute to axial-tensor--axial-tensor exchange. The leading minimal spin-2 interactions are either P,T even or P odd and T even; in particular, they do not generate a T-odd potential. We map the resulting interactions onto the sixteen-potential Dobrescu--Mocioiu basis and use this mapping to translate existing experimental constraints into numerical limits on spin-1 and spin-2 coupling products in the small- and large-mediator-mass regimes, together with representative limits at finite mediator masses. The derived relations between the boson-exchange coupling constants and the coefficients of the basis potentials also allow published exclusion curves to be rescaled to arbitrary mediator masses.
