AI 中文总结
本文计算多态玻色子星（MSBSs）的潮汐爱数，分类其背景解，分析稳定解分支的四极电、磁潮汐爱数，发现电爱数在特定参数下由正转负，磁爱数恒为负且绝对值更小。
AI 中文摘要
本文计算了由基态和第一激发态复标量场构成的多态玻色子星（MSBSs）的潮汐爱数。在同步和非同步频率条件下，MSBSs的背景解被分为单分支和双分支类型，讨论了不同解的场函数、ADM质量和结合能。随后，我们计算了包含稳定解分支的四极（ℓ=2）电和磁潮汐爱数。结果表明，电潮汐爱数初始为正，后突然转变为负值；当参数满足μ̃₁>0.891或ω̃₀>0.777时出现该现象，参数较小时电爱数保持为正。磁潮汐爱数始终为负，绝对值小于电潮汐爱数的绝对值。
英文摘要
In this paper, we calculate the tidal Love numbers of multi-state boson stars (MSBSs) composed of ground state and first excited state complex scalar fields. Under synchronized and nonsynchronized frequency conditions, the background solutions of MSBSs are classified into single-branch and double-branch types. The field functions, ADM mass, and binding energy of different solutions are discussed. We then calculate the quadrupolar ($\ell=2$) electric and magnetic tidal Love numbers for branches containing stable solutions. Our results show that the electric tidal Love numbers are initially positive and then suddenly transition to negative values. This phenomenon occurs when the parameters satisfy $\tildeμ_1 > 0.891$ or $\tildeω_0 > 0.777$; for smaller values of these parameters, the electric Love numbers remain positive. The magnetic tidal Love numbers are always negative, with absolute values smaller than those of the electric tidal Love numbers.
Comments30 pages, 15 figures
