论文标题
$ d^{(\ ast)} n $相互作用和$σ_C(2800)$和$λ_C(2940)$的结构
$D^{(\ast)}N$ interaction and the structure of $Σ_c(2800)$ and $Λ_c(2940)$ in chiral effective field theory
论文作者
论文摘要
我们研究$ dn $和$ d^\ ast n $交互作用,以探测$σ_C(2800)$和$λ_C(2940)$的内部结构,并通过手性有效的野外理论到临时领导顺序。我们考虑接触术语,一杆 - 交换和两杆交换的贡献,以表征$ d^{(\ ast)} n $ systems的短,长和中端交互。 $ d^{(\ ast)} n $系统的低能常数与$ n \ bar {n} $与Quark Level Lagrangian相互作用的$ n \ bar {n} $相互作用,该Quark Level Lagrangian受到共振饱和模型的启发。 $δ(1232)$自由度也包括在环图中。 $ [dn] _ {j = 1/2}^{i = 1} $通道中的吸引力潜在的潜力太弱,无法形成绑定状态,这表明$σ_c(2800)$的解释是紧凑型carmed baryon更合理的。同时,等相通道的电势足够深,可以产生分子状态。我们获得$ [dn] _ {j = 1/2}^{i = 0} $,$ [d^\ ast n] _ { $ 2938.4 $ MEV。考虑到其低质量拼图,$λ_C(2940)$可能是Isoscalar $ d^\ ast n $分子。此外,$λ_c(2940)$信号可能包含旋转 - $ \ frac {1} {2} $和spin-$ \ frac {3} {2} $两个结构,它们可以质疑解释为$ d^0p $ d^0p $ and $σ_cπ$。我们还研究了$ \ bar {b}^{(\ ast)} n $系统,并预测等效通道中可能的分子状态。我们希望实验者可以在$λ_c^+π^+π^ - $最终状态中寻找开放的魅力分子五体。
We study the $DN$ and $D^\ast N$ interactions to probe the inner structure of $Σ_c(2800)$ and $Λ_c(2940)$ with the chiral effective field theory to the next-to-leading order. We consider the contact term, one-pion-exchange and two-pion-exchange contributions to characterize the short-, long- and mid-range interactions of the $D^{(\ast)}N$ systems. The low energy constants of the $D^{(\ast)}N$ systems are related to those of the $N\bar{N}$ interaction with quark level Lagrangian that inspired by the resonance saturation model. The $Δ(1232)$ degree of freedom is also included in the loop diagrams. The attractive potential in the $[DN]_{J=1/2}^{I=1}$ channel is too weak to form bound state, which indicates the explanation of $Σ_c(2800)$ as the compact charmed baryon is more reasonable. Meanwhile, the potentials of the isoscalar channels are deep enough to yield the molecular states. We obtain the masses of the $[DN]_{J=1/2}^{I=0}$, $[D^\ast N]_{J=1/2}^{I=0}$ and $[D^\ast N]_{J=3/2}^{I=0}$ systems to be $2792.0$ MeV, $2943.6$ MeV and $2938.4$ MeV, respectively. The $Λ_c(2940)$ is probably the isoscalar $D^\ast N$ molecule considering its low mass puzzle. Besides, the $Λ_c(2940)$ signal might contain the spin-$\frac{1}{2}$ and spin-$\frac{3}{2}$ two structures, which can qualitatively explain the significant decay ratio to $D^0p$ and $Σ_cπ$. We also study the $\bar{B}^{(\ast)}N$ systems and predict the possible molecular states in the isoscalar channels. We hope experimentalists could hunt for the open charmed molecular pentaquarks in the $Λ_c^+π^+π^-$ final state.