有限核中χ_cJ的束缚态谱与质量能级的普适模式
Bound-state spectra of $χ_{cJ}$ in finite nuclei and the universal pattern of mass levels
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中文总结 AI 辅助
该研究基于非淬火框架构建χ_{cJ}-原子核势，计算多种核中χ_{cJ}束缚态谱，发现其能级差随核质量数呈A^{-2/3}减小的规律，相关结构可在JLab实验中检验。
中文摘要 AI 辅助
本研究在非淬火框架内，利用虚D^(*)\bar{D}^{(*)}圈产生的介质内质量移动，探究J=0、1、2的χ_{cJ}与原子核形成的可能束缚态。采用局域密度近似构建χ_{cJ}-原子核势，并对^{12}C、^{16}O、^{40}Ca、^{90}Zr、^{197}Au及^{208}Pb计算束缚态谱，所有研究体系均得到束缚态。χ_{c0}(1P)与χ_{c1}(1P)的谱近简并，而χ_{c2}(1P)更大的介质内质量移动导致其束缚更深。尽管绝对束缚态能量显著依赖截断参数，但相对于1s能级的能量差对其敏感度低得多，呈现随核质量数A增大近似按A^{-2/3}减小的规律。具有共同核几何的双曲余弦型势可对这些谱给出简洁描述，预测的束缚态结构与能级间距系统学可在未来升级后JLab装置的高统计近阈值光生实验中开展研究。
英文摘要
In this work, we investigate possible $χ_{cJ}$--nuclear bound states with $J=0,1,2$ using in-medium mass shifts generated by virtual $D^{(*)}\bar{D}^{(*)}$ loops within an unquenched framework. The resulting $χ_{cJ}$--nucleus potentials are constructed in the local density approximation, and the bound state spectra are calculated for $^{12}{\rm C}$, $^{16}{\rm O}$, $^{40}{\rm Ca}$, $^{90}{\rm Zr}$, $^{197}{\rm Au}$, and $^{208}{\rm Pb}$. Bound states are obtained for all systems considered. The $χ_{c0}(1P)$ and $χ_{c1}(1P)$ spectra are nearly degenerate, whereas the larger in-medium mass shift of $χ_{c2}(1P)$ leads to deeper binding. Although the absolute bound state energies depend appreciably on the cutoff parameter, the energy differences relative to the $1s$ level are considerably less sensitive to it and exhibit a regular pattern that decreases approximately as $A^{-2/3}$ with increasing nuclear mass number. A cosh-type potential with a common nuclear geometry provides a compact description of these spectra. The predicted bound-state structures and level-spacing systematics could be investigated in future high-statistics near-threshold photoproduction experiments at the upgraded JLab facility.
