论文标题

基于$ y_c n $的诱人核的预测,从晶格QCD模拟推论

Predictions for charmed nuclei based on $Y_c N$ forces inferred from lattice QCD simulations

论文作者

Haidenbauer, Johann, Nogga, Andreas, Vidaña, Isaac

论文摘要

使用$λ_cn $和$σ_cn $交互作用的魅力核进行了研究,这些交互已从lattice QCD模拟中以$m_π= 410 $ - $ 570 $ - $ 570 $ MEV作为指导线作为指南。从$^{\ 5} _ {λ_C} $ li到$^{209} _ {209} _ {λ_C} $ BI的$λ_C$单粒子结合状态的能量的计算。这种方法允许人们确定有限核$λ_c$自我能源,从中可以从中获得不同结合态的能量。尽管从晶格结果推断出的$λ_cn $相互作用只是中等吸引人,但它支持了Charmed Nuclei的存在。已经发现最轻的核已经被发现是结合的。 P-和D波状态的自旋轨道分裂事实很小,例如单$λ$ hypernuclei。基于FADDEEV-YAKUBOVSKY方程的其他计算表明,涉及$λ_C$ BARYON的$ A = 4 $系统可能会受到绑定,但排除了绑定的$^{\,3} _ {λ_c} $ he state。

Charmed nuclei are investigated utilizing $Λ_c N$ and $Σ_c N$ interactions that have been extrapolated from lattice QCD simulations at unphysical masses of $m_π= 410$--$570$ MeV to the physical point using chiral effective field theory as guideline. Calculations of the energies of $Λ_c$ single-particle bound states for various charmed nuclei from $^{\ 5}_{Λ_c}$Li to $^{209}_{Λ_c}$Bi are performed using a perturbative many-body approach. This approach allows one to determine the finite nuclei $Λ_c$ self-energy from which the energies of the different bound states can be obtained. Though the $Λ_c N$ interaction inferred from the lattice results is only moderately attractive, it supports the existence of charmed nuclei. Already the lightest nucleus considered is found to be bound. The spin-orbit splitting of the p- and d-wave states turns out to be small, as in the case of single $Λ$ hypernuclei. Additional calculations based on the Faddeev-Yakubovsky equations suggest that also $A=4$ systems involving a $Λ_c$ baryon are likely to be bound, but exclude a bound $^{\, 3}_{Λ_c}$He state.

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