We investigate the singly-excited and doubly-excited ${}^{\mathrm{1,3}}$P${}^{\mathrm{o}}$ states of screened-heliumlike atoms (Z=3-10), starting from Li${}^{+}$ to Ne${}^{8+}$ under the influence of exponential cosine-screened (ECS) Coulomb potentials. Pseudo-random-parameters dependent correlated exponential wave functions are used to represent the correlation effects between the charged particles. The singly-excited 1s2p ${}^{\mathrm{1,3}}$P states are also estimated based on the Ritz variational method. The doubly excited resonance energies and widths are determined using the stabilization method. A total of 9 P-wave resonances including four members in the 2snp${}_{+}$ (2 $\le$n $\le$ 5) series, three members in the 2snp${}_{-}$(3 $\le$ n $\le$ 5) series, and two members in the 2pnd ($n=3$, 4) series for each screened-systems below the 2s 2S thresholds of the respective one-electron subsystems are reported. The singly-excited state energies for each system and each screening parameter below the $n=1$ thresholds of the respective subsystems are also reported. The singly-excited states of ECS-heliumlike systems ($Z=$ 6–10) and the doubly-excited ${}^{\mathrm{1,3}}$P${}^{\mathrm{o}}$ states of the ECS-heliumlike systems are presented for the first time in the literature.

我们研究了单激和双激 ${}^{\mathrm{1,3}}$磷${}^{\mathrm{○}}$ 筛选的类氦原子的状态 (Z=3-10)，从 Li 开始${}^{+}$ 语气${}^{8+}$在指数余弦筛选 (ECS) 库仑势的影响下。伪随机参数相关的相关指数波函数用于表示带电粒子之间的相关效应。单激1s2p${}^{\mathrm{1,3}}$P 状态也是基于 Ritz 变分方法估计的。使用稳定化方法确定双激发共振能量和宽度。总共 9 个 P 波共振，包括 2s n p中的四个成员${}_{+}$ (2 $\le$n $\le$ 5）系列，2snp中的三名成员${}_{-}$(3 $\le$ n $\le$5) 系列，以及 2p n d ($n=3$, 4) 报告了低于相应单电子子系统的 2s 2S 阈值的每个筛选系统的系列。每个系统和每个屏蔽参数的单激发态能量低于$n=1$还报告了各个子系统的阈值。ECS-类氦系统的单激发态（$Z=$ 6-10) 和双兴奋 ${}^{\mathrm{1,3}}$磷${}^{\mathrm{○}}$ 文献中首次介绍了 ECS 类氦系统的状态。