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arXiv 2310.03087nucl-thhep-phnucl-ex
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超氚寿命

Hypertriton lifetime

D. Gazda, A. Pérez-Obiol, A. Gal, E. Friedman

AI总结:

本文利用基于手征有效场论的从头算无核壳模型研究超氚寿命之谜,发现寿命与Λ分离能强相关,理论不确定性限制了精度,且在最低分离能下的计算寿命与最新ALICE测量值吻合。

摘要:

在过去十年中,从相对论重离子(RHI)碰撞实验中提取出的超氚 ${}_Λ^3\mathrm{H}$ 寿命 $τ({}_Λ^3\mathrm{H})$ 存在相互冲突的值,其范围从与自由 $Λ$ 寿命 $τ_Λ$ 相容的值——正如对 ${}_Λ^3\mathrm{H}$ 中极弱束缚的 $Λ$ 的朴素预期——到短至 $τ({}_Λ^3\mathrm{H}) \approx (0.4-0.7)\\,τ_Λ$ 的寿命。在近期的一项工作 [Phys. Lett. B 811, 135916 (2020)] 中,我们使用在基于手征有效场理论导出的相互作用的 ab initio no-core shell model 方法中计算出的真实的三体 ${}_Λ^3\mathrm{H}$ 和 ${}^3\mathrm{He}$ 波函数,从理论上研究了这一 ${}_Λ^3\mathrm{H}$ 寿命之谜。具体而言,$τ({}_Λ^3\mathrm{H})$ 被发现与 ${}_Λ^3\mathrm{H}$ 中的 $Λ$ 分离能 $B_Λ$ 强相关,而 $B_Λ$ 的实验值相当不精确,此外,已知它还受到所采用的核与超核相互作用模型固有的巨大理论不确定性的影响。在本文中,我们发现这些不确定性会传递到 $τ({}_Λ^3\mathrm{H})$,从而大大限制了其计算值的理论精度。尽管这些相互冲突的 RHI 测量值 $τ({}_Λ^3\mathrm{H})$ 均无法被排除,而是可以归因于对 $B_Λ$ 的了解不足,但我们注意到,在我们所达到的最低值 $B_Λ=66$ keV 下计算出的寿命值 $τ({}_Λ^3\mathrm{H})=238(27)$ ps,与近期 ALICE 测量的寿命值 $τ^{\mathrm{ALICE}}({}_Λ^3\mathrm{H})=253(11)(6)$ ps(该值与 ALICE 测量的 $B_Λ$ 值 $B^{\mathrm{ALICE}}_Λ=102(63)(67)$ keV 相关联 [Phys. Rev. Lett. 131, 102302 (2023)])之间存在良好的一致性。

英文摘要:

Over the last decade, conflicting values of the hypertriton ${}_Λ^3\mathrm{H}$ lifetime $τ({}_Λ^3\mathrm{H})$ were extracted from relativistic heavy-ion (RHI) collision experiments, ranging from values compatible with the free-$Λ$ lifetime $τ_Λ$-as expected naively for a very weakly bound $Λ$ in ${}_Λ^3\mathrm{H}$-to lifetimes as short as $τ({}_Λ^3\mathrm{H}) \approx (0.4-0.7)\,τ_Λ$. In a recent work [Phys. Lett. B 811, 135916 (2020)] we studied this ${}_Λ^3\mathrm{H}$ lifetime puzzle theoretically using realistic three-body ${}_Λ^3\mathrm{H}$ and ${}^3\mathrm{He}$ wave functions computed within the ab initio no-core shell model approach with interactions derived from chiral effective field theory. In particular, $τ({}_Λ^3\mathrm{H})$ was found to be strongly correlated with the $Λ$ separation energy $B_Λ$ in ${}_Λ^3\mathrm{H}$, the value of which is rather poorly known experimentally and, in addition, is known to suffer from sizable theoretical uncertainties inherent in the employed nuclear and hypernuclear interaction models. In the present work we find that these uncertainties propagate into $τ({}_Λ^3\mathrm{H})$, and thus limit considerably the theoretical precision of its computed value. Although none of the conflicting RHI measured $τ({}_Λ^3\mathrm{H})$ values can be excluded, but rather can be attributed to a poor knowledge of $B_Λ$, we note the good agreement between the lifetime value $τ({}_Λ^3\mathrm{H})=238(27)$ ps computed at the lowest value $B_Λ=66$ keV reached by us and the very recent ALICE measured lifetime value $τ^{\mathrm{ALICE}}({}_Λ^3\mathrm{H})=253(11)(6)$ ps associated with the ALICE measured $B_Λ$ value $B^{\mathrm{ALICE}}_Λ=102(63)(67)$ keV [Phys. Rev. Lett. 131, 102302 (2023)].

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