论文标题
奇怪$ s = -3 $和$ -4 $ baryon-baryon互动在相对论手性有效田间理论中
Strangeness $S = -3$ and $-4$ baryon-baryon interactions in relativistic chiral effective field theory
论文作者
论文摘要
奇怪的$ s = -3 $和$ -4 $ $ baryon-baryon的互动在领先顺序的相对论手性有效的现场理论中进行了研究。首先，假设相应的低能常数通过SU（3）风味对称性相互关联，则源于$ s = -1 $扇区。然而，与最先进的晶格QCD模拟的比较表明，SU（3）风味对称性破坏效应不能忽略。为了考虑这些效果，我们通过分别拟合$ξς$和$ξξ$ Channels中的晶状体QCD数据来重新确定两组低能常数。拟合结果表明，可以很好地描述两个通道的晶格QCD $ S $ WAVES相位偏移。没有任何其他免费的低能常数，$ {}^3D_1 $通道的预测相位偏移和混合角$ \ varepsilon_1 $也与$ s = -3 $ channel的lattice QCD数据达成了定性的一致性，而未来的lattice simutions则将$ s = -4 $ channel的结果检查。使用所谓的低能常数，计算物理点的这两个通道的$ S $波散射长度和有效范围。最后，结合$ s = 0 $和$ -2 $结果在我们以前的作品中获得的结果，我们研究了baryon-baryon互动中不可约27 $的演变，这是增加陌生感的函数。结果表明，随着陌生感从$ s = 0 $增加到$ s = -2 $，吸引力大大降低，但随后保持相对稳定，直到$ s = -4 $。结果表明，在$ξς$和$ξξ$通道中的绑定状态的存在是不太可能的。
The strangeness $S=-3$ and $-4$ baryon-baryon interactions are investigated in the relativistic chiral effective field theory at leading order. First, the potentials are derived from the $S=-1$ sector assuming that the corresponding low-energy constants are related to each other via SU(3) flavor symmetry. The comparison with the state-of-the-art lattice QCD simulations, show, however, that SU(3) flavor symmetry breaking effects can not be neglected. In order to take into account these effects, we redetermine two sets of low-energy constants by fitting to the lattice QCD data in the $ΞΣ$ and $ΞΞ$ channels respectively. The fitting results demonstrate that the lattice QCD $S$-waves phase shifts for both channels can be described rather well. Without any additional free low-energy constants, the predicted phase shifts for the ${}^3D_1$ channel and the mixing angle $\varepsilon_1$ are also in qualitative agreement with the lattice QCD data for the $S=-3$ channel, while the results for the $S=-4$ channel remain to be checked by future lattice QCD simulations. With the so-obtained low-energy constants, the $S$-wave scattering lengths and effective ranges are calculated for these two channels at the physical point. Finally, in combination with the $S=0$ and $-2$ results obtained in our previous works, we study the evolution of the irreducible representation $27$ in the baryon-baryon interactions as a function of increasing strangeness. It is shown that the attraction decreases dramatically as strangeness increases from $S=0$ to $S=-2$, but then remains relatively stable until $S=-4$. The results indicate that the existence of bound states in the $ΞΣ$ and $ΞΞ$ channels is rather unlikely.
