论文标题
分析HQET中2s重型重桶
Analysis of 2S singly heavy baryons in HQET
论文作者
论文摘要
我们已经采用了HQET来确定径向兴奋的质量($ n = 2 $)s波魅力和底部重子。含有非扰动参数的HQET Lagrangian带有重型baryon场。还研究了S-Wave单一重型重子的非扰动参数,耦合和衰减宽度。 HQET参数$ \Overlineλ$,$λ_1$和$λ_2$是使用S-Wave Baryons的质量计算的($ n = 1 $)。通过改变底部夸克质量来研究$ n = 1 $和$ n = 1 $和$ n = 2 $介子和包含参数的重子$ \overlineλ$和$λ_1$。该分析表明,在1s和2s状态下,重夸克在介子和重子内的行为相同。 $ \Overlineλ$的HQET对称性用于找到$ n = 2 $ s-wave baryons的参数和质量。讨论了与非扰动参数$λ_1$和$λ_2$的2S重子的质量变化。使用$ n = 1 $和2个魅力和底部的baryons的质量,$(n,m^2)$平面也绘制了regge轨迹。 Regge轨迹在$(N,M^2)$ plane中是平行的和等距线。我们还研究了$ n = 1 $和$ n = 2 $ state的魅力和底部重子的强烈衰变。我们已经估计耦合常数$ g_1 = 0.913^{+0.010} _ { - 0.017} $和$ g_2 = 0.559^{+0.006} _ { - 0.010} $ for $ n = 1 $,和$ \ frac {\ widetilde {g} _1} {\ widetilde {g} _2} = 1.52 $ for $ n = 2 $。我们还展示了观众重夸克近似中的魅力重量的半电子衰减,价格为$ 1S \ rightarrow 1s $,$ 2S \ rightarrow 1s $和$ 2S \ rightarrow 2s $ transitions。 $ 1S \ rightarrow 1s $过渡的衰减率与$ 2S \ rightarrow 1s $ transitions的订单相同。该分析与可用的理论和实验数据提供了很好的一致性。
We have employed HQET to determine the masses of radially excited ($n=2$) S-wave charm and bottom baryons. The HQET Lagrangian containing the non-perturbative parameters is shown with heavy baryon fields. The non-perturbative parameters, couplings, and decay widths are also studied for the S-wave singly heavy baryons. The HQET parameters $\overlineΛ$, $λ_1$ and $λ_2$ are calculated for the ground state ($n=1$) using the masses of S-wave baryons. The mass term ratios of $n=1$ and $n=2$ mesons and baryons containing parameters $\overlineΛ$ and $λ_1$ are studied by varying the bottom quark mass. This analysis shows that heavy quark behaves the same inside mesons and baryons in both 1S and 2S states. The HQET symmetry of $\overlineΛ$ is used to find the parameters and masses for $n=2$ S-wave baryons. The variation of mass of 2S baryons with the non-perturbative parameters $λ_1$ and $λ_2$ is discussed. The Regge trajectories are also plotted in the $(n,M^2)$ plane using masses of $n=1$ and 2 charm and bottom baryons. The Regge trajectories are parallel and equidistant lines in the $(n,M^2)$ plane. We have also studied the strong decays of charm and bottom baryons for both $n=1$ and $n=2$ states. We have estimated the coupling constants $g_1=0.913^{+0.010}_{-0.017}$ and $g_2=0.559^{+0.006}_{-0.010}$ for $n=1$, and $\frac{\widetilde{g}_1}{\widetilde{g}_2}=1.52$ for $n=2$. We have also shown the semi-electronic decays rates of charm baryons in the spectator heavy quark approximation for $1S\rightarrow 1S$, $2S\rightarrow 1S$ and $2S\rightarrow 2S$ transitions. The decay rates for $1S\rightarrow 1S$ transitions are of same order as $2S\rightarrow 1S$ transitions. This analysis gives a good agreement with available theoretical and experimental data.