AI 中文总结
该研究提出重整化子减除的pNRQCD公式用于重子系统精密光谱学，结合VMC/GFMC方法与NNLO势，用MRS稳定微扰收敛，调谐夸克质量预测重子质量，还应用于全重四夸克确定临界质量比和计算束缚能。
AI 中文摘要
我们提出了一种用于重子系统精密光谱学的重整化子减除的势非相对论性量子色动力学（pNRQCD）公式，将变分法和格林函数蒙特卡罗（VMC/GFMC）方法与NNLO静态两体和三体势相结合。最小重整化子减除（MRS）系统地求和主导的阶乘增长项，从而稳定微扰收敛并减少重整化标度依赖性。我们将粲夸克和底夸克质量调谐到自旋平均的$1S$夸克偶素态，并预测$\Omega_{ccc}$、$\Omega_{ccb}$、$\Omega_{cbb}$和$\Omega_{bbb}$重子质量，以及包含顶夸克的QCD稳定重子。NNLO MRS结果比格点量子色动力学低125 - 175 MeV，分数差异随$\sim 1/m_Q$减小，与忽略的$\mathcal{O}(1/m_Q)$修正一致。将这些方法应用于不等质量的全重四夸克，我们确定了束缚的临界重轻质量比，并计算了整个质量比范围内的束缚能。
英文摘要
We present a renormalon-subtracted formulation of potential nonrelativistic QCD (pNRQCD) for precision spectroscopy of heavy hadron systems, combining variational and Green's function Monte Carlo (VMC/GFMC) methods with NNLO static two- and three-body potentials. Minimal renormalon subtraction (MRS) systematically sums leading factorially growing terms, thereby stabilizing perturbative convergence and reducing renormalization-scale dependence. We tune charm and bottom quark masses to spin-averaged $1S$ quarkonium states and predict $Ω_{ccc}$, $Ω_{ccb}$, $Ω_{cbb}$, and $Ω_{bbb}$ baryon masses, as well as QCD-stable baryons containing top quarks. NNLO MRS results undershoot lattice QCD by 125--175~MeV, with fractional differences decreasing as $\sim 1/m_Q$, consistent with neglected $\mathcal{O}(1/m_Q)$ corrections. Applying these methods to unequal-mass fully-heavy tetraquarks, we determine the critical heavy-to-light mass ratio for binding and compute binding energies across the mass-ratio landscape.
Comments17 pages, 8 figures
