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arXiv 1901.09644nucl-thhep-phnucl-ex
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微观多体方法中的粲核

Charmed nuclei within a microscopic many-body approach

I. Vidana, A. Ramos, C. E. Jimenez-Tejero

备注：
10 pages, 6 figures, 4 tables
发表信息：
Phys. Rev. C 99, 045208 (2019)
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摘要：

在微扰多体方法框架下，从相应的自能出发，得到了几个核中$Λ_c$腔化重子的单粒子能量。本文给出了基于Jülich群介子交换超子核子势$\tilde A$的SU（4）推广的粲重子核子势（$Y_cN$）的结果。三种不同的模型（A，B和C）的这种相互作用，不同的只是在耦合的标量$σ$介子与粲重子的值，被认为是。相移，散射长度和有效范围计算的三个模型，并与预测的$Y_cN$相互作用来自Eur。Phys. A { \bf 54}，199（2018），来自HAL QCD合作最近结果的物理π质量外推。定性协议被认为是两个模型（B和C）。我们对$Λ_c$ -核的结果与其他作者基于不同模型和方法得到的结果是一致的。我们发现$p-, d-$和$f-$波态的自旋轨道分裂很小，就像单个$Λ$超核的情况一样。发现$Λ_c$单粒子能级的能级间距比相应的超核能级间距小。库仑势的作用和$Λ_cN$和$Σ_cN$通道的耦合对$Λ_c-$核的单粒子性质的影响也进行了分析。我们的结果表明，尽管在$Λ_c$和质子之间存在库仑排斥，但即使是我们的$Y_cN$模型中吸引力较小的模型（模型C）也能够在所有考虑的核中结合$Λ_c$。由于$Σ_c$重子和$Λ_c$重子的质量相差很大，所以$Λ_cN-Σ_cN$耦合的影响几乎可以忽略.

英文摘要：

Single-particle energies of the $Λ_c$ chamed baryon are obtained in several nuclei from the relevant self-energy constructed within the framework of a perturbative many-body approach. Results are presented for a charmed baryon-nucleon ($Y_cN$) potential based on a SU(4) extension of the meson-exchange hyperon-nucleon potential $\tilde A$ of the Jülich group. Three different models (A, B and C) of this interaction, that differ only on the values of the couplings of the scalar $σ$ meson with the charmed baryons, are considered. Phase shifts, scattering lengths and effective ranges are computed for the three models and compared with those predicted by the $Y_cN$ interaction derived in Eur. Phys. A {\bf 54}, 199 (2018) from the extrapolation to the physical pion mass of recent results of the HAL QCD Collaboration. Qualitative agreement is found for two of the models (B and C) considered. Our results for $Λ_c$-nuclei are compatible with those obtained by other authors based on different models and methods. We find a small spin-orbit splitting of the $p-, d-$ and $f-$wave states as in the case of single $Λ$-hypernuclei. The level spacing of $Λ_c$ single-particle energies is found to be smaller than that of the corresponding one for hypernuclei. The role of the Coulomb potential and the effect of the coupling of the $Λ_cN$ and $Σ_cN$ channels on the single-particle properties of $Λ_c-$nuclei are also analyzed. Our results show that, despite the Coulomb repulsion between the $Λ_c$ and the protons, even the less attractive one of our $Y_cN$ models (model C) is able to bind the $Λ_c$ in all the nuclei considered. The effect of the $Λ_cN-Σ_cN$ coupling is found to be almost negligible due to the large mass difference of the $Λ_c$ and $Σ_c$ baryons.

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