核物质是否在大的$N_c$中结合？
Does nuclear matter bind at large $N_c$?
摘要：
本文在Walecka型有效强子模型的框架下研究了核物质在大$N_{c}$中的存在性。这个问题与标量通道中的核子-核子吸引力密切相关，因此与轻标量介子的性质密切相关。不同的情况下，轻标量部门对应于不同的大$N_{c}$标度性质的强子模型的参数。在所有的现实唯象场景中的光标量场（S）负责的吸引力的标量通道中，发现核物质不绑定在大$N_{c}$世界。因此，我们得出结论，$N_{c}=3$在这方面是特殊的：幸运的是，3并不大，并允许核物质，而大的$N_{c}$不会。
英文摘要：
The existence of nuclear matter at large $N_{c}$ is investigated in the framework of effective hadronic models of the Walecka type. This issue is strongly related to the nucleon-nucleon attraction in the scalar channel, and thus to the nature of the light scalar mesons. Different scenarios for the light scalar sector correspond to different large $N_{c}$ scaling properties of the parameters of the hadronic models. In all realistic phenomenological scenarios for the light scalar field(s) responsible for the attraction in the scalar channel it is found that nuclear matter does not bind in the large $N_{c}$ world. We thus conclude that $N_{c}=3$ is in this respect special: 3 is fortunately not large at all and allows for nuclear matter, while large $N_{c}$ would not.
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