论文标题
分子状态来自$ \ bar {b}^{(*)} n $互动
Molecular states from $\bar{B}^{(*)}N$ interactions
论文作者
论文摘要
在2019年,LHCB合作在不变的质谱中观察到了两个新结构$λ_b(6146)$和$λ_b(6152)$,$λ_b^0π^0π^{+}π^{ - } $,这引起了人们对其内部结构的热门讨论。 $λ_b(6146)$和$λ_b(6152)$仍然可能是分子状态,因为它们的质量接近$ \ bar {b} $ meson和nucleon的阈值。在这项工作中,我们从$ \ bar {b} n $相互作用中对可能的重型型分子状态进行了系统的研究。由于$ \ bar {b} n $通道与$ \ bar {b}^{*} n $ channel强烈耦合,因此还研究了可能的$ \ bar {b} n- \ bar {b}^{*} n $绑定状态。所考虑的系统的相互作用由$ t $ -CHANNEL $σ$,$π$,$η$,$ω$和$ρ$ MESONS交易所描述。通过用获得的单验交换势求解非相关的schrödinger方程,搜索了$ \ bar {b}^{(*)} n $绑定带有不同量子数字的状态。该计算表明,最近观察到的$λ_b(6146)$可以分配为$ p $ -Wave $ \ bar {b} n $分子状态,带有旋转均等$ j^p = 3/2^{+} $或A $ \ bar {b}但是,$λ_b(6152)$作为$ f $ -wave $ \ bar {b} n $分子的分配是不利的。 $λ_b(6152)$可以解释为带有小$ \ bar {b} n $组件的梅森 - 巴里昂分子状态。该计算还可以预测存在两个$ s $ -Wave $ \ bar {b} n- \ bar {b}^{*} n $绑定状态,这些状态可以与实验观察到的$λ_b(5912)$和$λ_b(5920)$相关。
In 2019, two new structures $Λ_b(6146)$ and $Λ_b(6152)$ were observed by the LHCb Collaboration at the invariant mass spectrum of $Λ_b^0π^{+}π^{-}$, which aroused a hot discussion about their inner structures. The $Λ_b(6146)$ and $Λ_b(6152)$ might still be molecular states because their masses are close to threshold of a $\bar{B}$ meson and a nucleon. In this work, we perform a systematical investigation of possible heavy baryonic molecular states from the $\bar{B}N$ interaction. Since the $\bar{B}N$ channel strongly couples to the $\bar{B}^{*}N$ channel, the possible $\bar{B}N-\bar{B}^{*}N$ bound states are also studied. The interaction of the system considered is described by the $t$-channel $σ$, $π$, $η$ ,$ω$, and $ρ$ mesons exchanges. By solving the non-relativistic Schrödinger equation with the obtained one-boson-exchange potentials, the $\bar{B}^{(*)}N$ bound states with different quantum numbers are searched. The calculation suggests that recently observed $Λ_b(6146)$ can be assigned as a $P$-wave $\bar{B}N$ molecular state with spin parity $J^P=3/2^{+}$ or a $\bar{B}N-\bar{B}^{*}N$ bound state. However, assignment of $Λ_b(6152)$ as an $F$-wave $\bar{B}N$ molecular is disfavored. The $Λ_b(6152)$ can be explained as meson-baryon molecular state with a small $\bar{B}N$ component. The calculation also predict the existence of two $S$-wave $\bar{B}N-\bar{B}^{*}N$ bound states that can be related to the experimentally observed $Λ_b(5912)$ and $Λ_b(5920)$.