发表机构
Center for Theoretical Physics, Hainan University; School of Physics and Optoelectronic Engineering, Hainan University（海南大学理论物理中心; 海南大学物理与电子工程学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究探究dtμ分子离子近阈共振对原子2s-2p劈裂的响应，通过三体复吸收势计算发现劈裂使共振更靠近dμ(2s)+t阈且宽度减小，或可截断共振的无限积累。
AI 中文摘要
对于非相对论三体库仑哈密顿量，氘-氚μ分子离子（dtμ）的近阈共振由简并原子2s与2p态之间的长程偶极耦合支撑。本研究探讨原子2s-2p劈裂对这些共振的位置与衰变宽度的影响。通过三体复吸收势计算，研究人员分辨出L^π=0^+和1^-系列的更多成员，其几何间距符合1/R²偶极吸引的预期（R为原子-核间距）。为评估劈裂效应，研究人员在自旋无关的非相对论哈密顿量中采用有效势扫描规定的2s-2p区间，该模型无需显式计算兰姆移位即可模拟原子劈裂。在该模型中，所研究的共振相比简并情况更靠近dμ(2s)+t阈，且具有更小的库仑衰变宽度。在0.2eV的有效区间下，第7个1^-成员与该阈的间距小于2meV，全宽度约为4meV，而简并情况下对应值为48meV和15.6meV。这些数值表征了所测试数值表示下的响应，其宽度减小，但与阈的间距减小得更显著。长程分析将这些位移和宽度减小归因于偶极混合的改变，进一步表明原子2s-2p劈裂可能会截断简并原子2s与2p能级所预测的共振无限积累现象。
英文摘要
For the nonrelativistic three-body Coulomb Hamiltonian, near-threshold resonances of the deuterium--tritium muonic molecular ion ($dtμ$) are supported by the long-range dipole coupling between degenerate atomic $2s$ and $2p$ states. We study the effect of atomic $2s$--$2p$ splitting on their positions and decay widths. Three-body complex-absorbing-potential calculations resolve additional members of the $L^π=0^+$ and $1^-$ series. Their geometric spacing agrees with that expected from the $1/R^2$ dipole attraction, where $R$ is the atom--nucleus separation. To assess the effect of splitting, we scan a prescribed $2s$--$2p$ interval using an effective potential in a spin-independent, nonrelativistic Hamiltonian. This models the atomic splitting without an explicit Lamb-shift calculation. Within this model, the studied resonances lie closer to the $dμ(2s)+t$ threshold and have smaller Coulomb decay widths than in the degenerate case. At an effective interval of $0.2\eV$, the seventh $1^-$ member lies within $2\meV$ of this threshold with a full width of about $4\meV$, compared with $48$ and $15.6\meV$ at degeneracy. These values characterize the response within the tested numerical representations. Its width decreases, but its separation from the threshold decreases more strongly. The long-range analysis attributes these shifts and width reductions to modified dipole mixing. It further suggests that atomic $2s$--$2p$ splitting may truncate the infinite accumulation of resonances predicted for degenerate atomic $2s$ and $2p$ levels.
