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arXiv 1607.07008hep-ph
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作为重子-psi(2S)束缚态的LHCb五夸克态--具有隐魅的同位旋3/2五夸克态的预言

On LHCb pentaquarks as a baryon-psi(2S) bound state -- prediction of isospin 3/2 pentaquarks with hidden charm

I. A. Perevalova, M. V. Polyakov, P. Schweitzer

摘要:

LHCb最近发现的五夸克态$P_c^+(4450)$被解释为$Ψ(2S)$与核子的束缚态。在重夸克极限下,给出了粲偶素-核子相互作用的结合机制,给出了粲偶素色电极化率和核子能量动量张量(EMT)的密度。本文用模型无关的方法,通过探索有效相互作用的一般性质,证明了$Ψ(2S)$能与核子和$Δ$形成束缚态。利用Skyrme模型计算了大$N_c$极限下的有效相互作用,并估算了$1/N_c$修正,证实了以前工作中基于不同有效模型(手征夸克孤子模型)的结果.这表明,$P_c^+(4450)$的解释是非常强大的,弱依赖于核子EMT的有效理论的细节。我们进一步探索的形式主义,并提出了强大的预测的同位旋$\frac32$结合态的$Ψ(2S)$和$Δ$周围的质量$4.5\,{\rm GeV}$和宽度周围$70\,{\rm MeV}$。该方法还预测了在$4.9\,{\rm GeV}$处的$Ψ(2S)$ - $Δ$通道中具有$150\,{\rm MeV}$量级的宽度的更宽的共振。我们讨论了在哪些反应中可以观察到这些新的具有隐魅的同位旋$\frac 32$五夸克态。

英文摘要:

The pentaquark $P_c^+(4450)$ recently discovered by LHCb has been interpreted as a bound state of $Ψ(2S)$ and nucleon. The charmonium-nucleon interaction which provides the binding mechanism is given, in the heavy quark limit, in terms of charmonium chromoelectric polarizabilities and densities of the nucleon energy-momentum tensor (EMT). In this work we show in model-independent way, by exploring general properties of the effective interaction, that $Ψ(2S)$ can form bound states with nucleon and $Δ$. Using the Skyrme model to evaluate the effective interaction in the large-$N_c$ limit and estimate $1/N_c$ corrections, we confirm the results from prior work which were based on a different effective model (chiral quark soliton model). This shows that the interpretation of $P_c^+(4450)$ is remarkably robust and weakly dependent on the details of the effective theories for the nucleon EMT. We explore the formalism further and present robust predictions of isospin $\frac32$ bound states of $Ψ(2S)$ and $Δ$ with masses around $4.5\,{\rm GeV}$ and widths around $70\,{\rm MeV}$. The approach also predicts broader resonances in the $Ψ(2S)$-$Δ$ channel at $4.9\,{\rm GeV}$ with widths of the order of $150\,{\rm MeV}$. We discuss in which reactions these new isospin $\frac 32$ pentaquarks with hidden charm can be observed.

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