论文标题

$ {_λ^4} {\ rm H} {\ rm h} - {_λ^4} {\ rm he} $ he} $ he} $ he}

In-medium $Λ$ isospin impurity from charge symmetry breaking in the ${_Λ^4}{\rm H}-{_Λ^4}{\rm He}$ mirror hypernuclei

论文作者

Schäfer, M., Barnea, N., Gal, A.

论文摘要

镜子中的$λ$分离能量hypernuclei $ {_λ^4} {\ rm h} - {_λ^4} {\ rm he} $表现出大型电荷对称性破坏(CSB)。在使用部分保守的Baryon-Baryon SU(3)风味对称性的同时分析该CSB,我们推断出A $λ-σ^0 $诱导的中混合振幅振幅$ {\ cal a} _ {i = 1}我们的结果证实了自由空间值$ {\ cal a}^{(0)} _ {i = 1} $直接在1964年由Dalitz和Von-Hippel在SU(3)Baryon Octet中推断,并在最新的QCD+QED lattice计算中重申。此外,探索SU(3)风味对称性对$λ$ -Nucleon互动的后果,我们发现CSB有望影响$ s = 1 $和$ s = 0 $ s = 0 $ spin频道的方向相反,后者以一定的命令命令占主导地位。这些观察结果解释了$λ$ -Nucleon CSB强度的扣除。

The $Λ$ separation energies in the mirror hypernuclei ${_Λ^4}{\rm H}-{_Λ^4}{\rm He}$ exhibit large charge symmetry breaking (CSB). Analyzing this CSB within pionless effective field theory while using partially conserved baryon-baryon SU(3) flavor symmetry, we deduce a $Λ-Σ^0$ induced in-medium admixture amplitude ${\cal A}_{I=1}\approx 1.5\%$ in the dominantly isospin $I=0$ $Λ$ hyperon. Our results confirm the free-space value ${\cal A}^{(0)}_{I=1}$ inferred directly within the SU(3) baryon octet by Dalitz and von-Hippel in 1964 and reaffirmed in a recent QCD+QED lattice calculation. Furthermore, exploring the consequences of SU(3) flavor symmetry on the $Λ$-nucleon interaction, we find that CSB is expected to impact the $S=1$ and $S=0$ spin channels in opposite directions, with the latter dominating by an order of magnitude. These observations explain a recent deduction of $Λ$-nucleon CSB strengths.

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