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Large- N c operator analysis of hyperon–nucleon interactions in SU(3) chiral effective field theory

机译:大- N c 操纵子分析中超子与核子相互作用SU(3)手性有效场理论

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We study octet–octet baryon (JP=12+) contact interactions in SU(3) chiral effective field theory by using large-Ncoperator analysis. By applying the1/Ncexpansion of the Hartree Hamiltonian, we find 15 operators in the octet–octet baryon potential where 4 operators for the leading order (LO) and 11 for the next-to-next-to-leading order (NNLO). The large-Ncoperator analysis of octet–octet baryon matrix elements reduces the number of free parameters from 15 to 6 at the LO of the1/Ncexpansion. The application of large-Ncsum rules to the Jülich model of hyperon–nucleon (YN) interactions at the LO of the chiral expansion reduces the model parameters to 3 from 5 at the LO of1/Ncexpansion. We find that the values of LECs fitted to YN scattering data in Ref. in the relativistic covariant ChEFT (EG) approach are more consistent with the predictions of the large-Ncanalysis than in the heavy baryon (HB) formalism approach.
机译:我们通过使用大Ncoperator分析研究SU(3)手性有效场理论中的八位位–八位位重子(JP = 12 +)接触相互作用。通过应用Hartree哈密顿量的1 / Nc展开,我们在八位位组到八位位组的重子势中发现了15个运算符,其中4个运算符表示领先顺序(LO),而11个运算符表示倒数第二个领先顺序(NNLO)。八位位组到八位位组的重子矩阵元素的大Ncoperator分析将1 / Nc展开的LO处的自由参数数量从15减少到6。将大Ncsum规则应用于手性展开LO处的超子-核子(YN)相互作用的Jülich模型,将模型参数从1 / Ncexpansion处的LO从5减少到3。我们发现参考文献中YN散射数据拟合的LEC值。相对论协变ChEFT(EG)方法中的结果与大Ncanalysis的预测相符,而不是重质重子(HB)形式主义方法中的预测。

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