重访大$N_c$ QCD中的$[{\bf 70, \ell^+}]$重子：对Regge轨迹的影响
$[{\bf 70, \ell^+}]$ baryons in large $N_c$ QCD revisited: The effect on Regge trajectories
摘要：
在$1/N_c$展开方法中，所有的$N_c$夸克都被放在同一个基础上处理，这一简单的方法成功地描述了属于$[{\bf 70},\ell^-]$多重态的混合对称负宇称重子态，其中$\ell$ = 1，2或3. $N$ = 1和3条带。目前，它被应用于混合对称正宇称$[{\bf 70},0^+]$和$N$ = 2频带的$[{\bf 70},2^+]$多重态。我们寻找质量公式中最主要的项。结果进行了比较，在该程序中获得的系统被分离成一个核心和一个激发夸克。我们发现整个$N_c$夸克系统的自旋和同位旋算符在描述数据中起着主导作用，就像负宇称态一样。作为一个副产品，我们提出的贡献的领先的自旋-同位旋单重态项作为带数的函数，这暗示在不同的雷吉轨迹的对称和混合对称状态。
英文摘要：
A simple procedure within the $1/N_c$ expansion method where all the $N_c$ quarks are treated on the same footing has been found successful in describing mixed symmetric negative parity baryon states belonging to the $[{\bf 70},\ell^-]$ multiplets %with $\ell$ = 1, 2 or 3. of the $N$ = 1 and 3 bands. Presently it is applied to mixed symmetric positive parity $[{\bf 70},0^+]$ and $[{\bf 70},2^+]$ multiplets of the $N$ = 2 band. We search for the most dominant terms in the mass formula. The results are compared to those obtained in the procedure where the system is separated into a core and an excited quark. We find that both the spin and isospin operators of the entire system of $N_c$ quarks play dominant roles in describing the data, like for negative parity states. As a by-product we present the contribution of the leading spin-isospin singlet term as a function of the band number, which hints at distinct Regge trajectories for the symmetric and mixed symmetric states.
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