具有镜像指定的手征多重态$(1, 1/2) \oplus (1/2, 1) $中自旋3/2重子的四重态
Quartet of spin-3/2 baryons in chiral multiplet $(1, 1/2) \oplus (1/2, 1) $ with mirror assignment
摘要：
我们研究了在重子谱的自旋$\thalf$扇区中手征伙伴的可能存在.我们考虑一个四重态方案，其中四个自旋为3/2的重子，$P_{33}$，$D_{33}$，$D_{13}$和$P_{13}$，分组为高维手征多重态$(1, \half)\oplus (\half,1)$与镜像分配。利用有效的$SU(2)_R\times SU(2)_L$拉格朗日量，我们导出了手征对称性对四重态的质量和耦合常数的限制以及镜像分配。利用有效拉氏量，我们试图找到一组适合手征四重态的重子。结果表明，有两种情况与四联体的质量模式合理地一致：（$Δ(1600)$，$Δ(1940)$，$N(1520)$，$N(1720)$）和（$Δ(1920)$，$Δ(1940)$，$N(2080)$，$N(1900)$）。
英文摘要：
We study the possible existence of chiral partners in the spin-$\thalf$ sector of the baryon spectrum. We consider a quartet scheme where four spin-3/2 baryons, $P_{33}$, $D_{33}$, $D_{13}$ and $P_{13}$, group into higher-dimensional chiral multiplets $(1, \half)\oplus (\half,1)$ with a mirror assignment. With an effective $SU(2)_R\times SU(2)_L$ Lagrangian, we derive constraints imposed by chiral symmetry together with the mirror assignment on the masses and coupling constants of the quartet. Using the effective Lagrangian, we try to find a set of baryons suitable for the chiral quartet. It turns out that two cases reasonably agree with the mass pattern of the quartet: ($Δ(1600)$, $Δ(1940)$, $N(1520)$, $N(1720)$) and ($Δ(1920)$, $Δ(1940)$, $N(2080)$, $N(1900)$).
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