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arXiv 1509.02445nucl-th
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一个粲重子-核子势模型及含粲重子的二体和三体束缚态

A model of charmed baryon-nucleon potential and 2- and 3-body bound states with charmed baryon

Saori Maeda, Makoto Oka, Akira Yokota, Emiko Hiyama, Yan-Rui Liu

摘要:

建立了一个粲重子($Λ_c$,$Σ_c$,和$Σ_c^*$)与核子($N$)相互作用的势模型.该模型包含一个长程介子($π$和$σ$)交换部分和一个短程夸克交换部分。用夸克团模型计算短程排斥,在长程势中引入一个能反映强子扩展结构的形状因子。我们通过用相同的方法拟合$NN$散射数据来确定形状因子中的截止参数,并且我们获得四组参数(a-d)。一旦考虑$Λ_c$、$Σ_c$和$Σ_c^*$之间的沟道耦合,最有吸引力的势(d)导致与$J^π= 0^+$和$1^+$的束缚$Λ_c N$态。人们也可以用这个模型研究多体问题。在这里,我们构造了一个有效的$Λ_c N$单通道势与参数集(d),并将其应用到3体$Λ_c NN$系统。预测了与$J=1/2$和$3/2$的结合态。

英文摘要:

A potential model for the interaction between a charmed baryon ($Λ_c$, $Σ_c$, and $Σ_c^*$) and the nucleon ($N$) is constructed. The model contains a long-range meson ($π$ and $σ$) exchange part and a short-distance quark exchange part. The quark cluster model is used to evaluate the short-range repulsion and a monopole type form factor is introduced to the long-range potential to reflect the extended structure of hadrons. We determine the cutoff parameters in the form factors by fitting the $NN$ scattering data with the same approach and we obtain four sets of parameters (a -- d). The most attractive potential (d) leads to bound $Λ_c N$ states with $J^π= 0^+$ and $1^+$ once the channel couplings among $Λ_c$, $Σ_c$ and $Σ_c^*$ are taken into account. One can also investigate many-body problems with the model. Here, we construct an effective $Λ_c N$ one-channel potential with the parameter set (d) and apply it to the 3-body $Λ_c NN$ system. The bound states with $J=1/2$ and $3/2$ are predicted.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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