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arXiv 2109.06648nucl-th
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基于手征有效场论的$A=4-7$ $Ξ$超核

$A=4-7$ $Ξ$ hypernuclei based on interactions from chiral effective field theory

Hoai Le, Johann Haidenbauer, Ulf-G. Meißner, Andreas Nogga

摘要:

我们使用Jacobi NCSM方法结合手征NN和$Ξ$ N相互作用研究了含$A=4-7$重子的系统中束缚$Ξ$ \break态的存在性。我们发现三个浅束缚态的NNN $Ξ$系统(与$(J^π,T)=(1^+,0)$,$(0^+,1)$和$(1^+,1)$)具有非常相似的结合能。$^5_Ξ\mathrm{H}(\frac{1}{2}^+,\frac{1}{2})$和$^7_Ξ\mathrm{H}(\frac{1}{2}^+,\frac{3}{2})$超核也分别相对于阈值$^4\mathrm{He} + Ξ$和$^6\mathrm{He} +Ξ$明显结合。所有这些$Ξ$系统的结合主要是由于$^{33}S_1$通道中手性$Ξ$ N势的吸引。微扰估计表明,所有观察到的状态的衰减宽度可能相当小。

英文摘要:

We investigate the existence of bound $Ξ$ \break states in systems with $A=4-7$ baryons using the Jacobi NCSM approach in combination with chiral NN and $Ξ$N interactions. We find three shallow bound states for the NNN$Ξ$ system (with $(J^π,T)=(1^+,0)$, $(0^+,1)$ and $(1^+,1)$) with quite similar binding energies. The $^5_Ξ\mathrm{H}(\frac{1}{2}^+,\frac{1}{2})$ and $^7_Ξ\mathrm{H}(\frac{1}{2}^+,\frac{3}{2})$ hypernuclei are also clearly bound with respect to the thresholds $^4\mathrm{He} + Ξ$ and $^6\mathrm{He} +Ξ$, respectively. The binding of all these $Ξ$ systems is predominantly due to the attraction of the chiral $Ξ$N potential in the $^{33}S_1$ channel. A perturbative estimation suggests that the decay widths of all the observed states could be rather small.

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