Magic mixing angles for doubly heavy baryons
| Autor: | Matsuki, Takayuki, Chen, Dian-Yong, Liu, Xiang, Lü, Qi-Fang |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Nuclear Physics Review, 38, 373-379 (2021) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.11804/NuclPhysRev.38.2021074 |
| Popis: | We study the so-called magic mixing angles for doubly heavy baryons. Defining that a magic mixing angle rotates states with definite $^{2S+1}(l_\lambda)_J$ to make them heavy-quark symmetric states, we derive the magic mixing angle only in the case $L_\rho=0$ between the heavy quark symmetric states with quantum numbers $\left(J, j_\ell\right)$ and the states with $\left(J, s_q+j_\rho\right)=\left(J, \{^4l_\lambda/^2l_\lambda\}\right)$ for a doubly heavy baryon in the standard $\rho-\lambda$ configuration, where $\vec j_\ell=\vec l_\lambda+\vec s_q$, $\vec s_\rho=\vec s_{Q1}+\vec s_{Q2}$, and $\vec j_\rho=\vec s_\rho+\vec L_\rho$. We discuss how this mixing angle affects model building for a doubly heavy baryon. Comment: 6 pages, 1 figure |
| Databáze: | arXiv |
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