AI 中文总结
研究借助两点QCD求和规则方法分析低能自旋为3/2的Ξ能谱，受BESIII对Ξ(1720)共振观测启发，纳入多种组态，提取各态质量，2S组态质量与BESIII值相符，支持Ξ(1720)为Ξ重子首个径向自旋为3/2激发态的认定。
AI 中文摘要
我们借助两点QCD求和规则方法分析低能自旋为3/2的Ξ能谱。此分析受BESIII对Ξ(1720)共振的观测启发，其质量为1721.0±5.2（统计）±3.4（系统）MeV，量子数J^P = 3/2⁺。我们纳入1S、1P、2S和2P组态作为可能的低能自旋为3/2的级联态。提取的质量分别为1S态1527.53±111.38 MeV、1P态1615.30±50.98 MeV、2S态1727.52±42.39 MeV和2P态1803.71±64.50 MeV。2S组态得到的质量在不确定度内与BESIII值相符，支持将Ξ(1720)认定为Ξ重子的首个径向自旋为3/2激发态。
英文摘要
We analyze the low lying spin-$\frac{3}{2}$ $Ξ$ spectrum by means of the two point QCD sum rule approach. The analysis is motivated by the BESIII observation of the $Ξ(1720)$ resonance, reported with mass $1721.0\pm5.2_{\mathrm{stat.}}\pm3.4_{\mathrm{syst.}}~\mathrm{MeV}$ and favored quantum numbers $J^P=\frac{3}{2}^{+}$. In this framework, we include the $1S$, $1P$, $2S$ and $2P$ configurations as possible low lying spin-$\frac{3}{2}$ cascade states. The extracted masses are $1527.53\pm111.38~\mathrm{MeV}$, $1615.30\pm50.98~\mathrm{MeV}$, $1727.52\pm42.39~\mathrm{MeV}$ and $1803.71\pm64.50~\mathrm{MeV}$ for the $1S$, $1P$, $2S$ and $2P$ states, respectively. The mass obtained for the $2S$ configuration agrees with the BESIII value within uncertainties and favors the assignment of $Ξ(1720)$ as the first radial spin-$\frac{3}{2}$ excitation of the $Ξ$ baryon.
Comments10 Pages, 8 Figures and 3 Tables
