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arXiv 1703.04098nucl-thhep-lathep-ph
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正宇称重子塔及其在大$N_c$极限下的混合

Towers of positive parity excited baryons and their mixing in the large $N_c$ limit

Cintia Willemyns, Carlos Schat

备注：
26 pages, 4 Tables, corrected references to Eqs.(3,4,5)
发表信息：
Phys. Rev. D 95, 094007 (2017)
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摘要：

本文研究了$[\mathbf{56'},0^+],[\mathbf{56},2^+], [\mathbf{70},0^+] $和$[\mathbf{70},2^+]$夸克模型$N=2$带中的$SU(6) \times O(3)$多重态中非奇异正宇称激发重子的组态混合。从这些状态的有效质量算子，我们表明，通过一个明确的计算，在大$N_c$限制，他们落入六个塔的退化状态标记为$K=0,1,1',2,2',3$。我们发现夸克模型态的混合比我们天真地预期的要简单得多。对于$N_c$中的领先顺序，只有携带相同$K$标签的状态才能混合，这意味着对于我们从配置混合开始的自旋风味状态，可以仅通过两个常数$μ_{K=1}$和$μ_{K=2}$进行参数化。

英文摘要：

We consider configuration mixing for the nonstrange positive parity excited baryons in the $[\mathbf{56'},0^+],[\mathbf{56},2^+], [\mathbf{70},0^+] $ and $[\mathbf{70},2^+]$ quark model $SU(6) \times O(3)$ multiplets contained in the $N=2$ band. Starting from the effective mass operator for these states we show by an explicit calculation that in the large $N_c$ limit they fall into six towers of degenerate states labeled by $K=0,1,1',2,2',3$. We find that the mixing of the quark model states is much simpler than what is naively expected. To leading order in $N_c$ only states carrying the same $K$ label can mix, which implies that for the spin-flavor states we started with configuration mixing can be parameterized by just two constants, $μ_{K=1}$ and $μ_{K=2}$.

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