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arXiv 0907.2706hep-ph
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56重态正宇称重子衰变的1/Nc展开分析

Analysis of 56-plet positive parity baryon decays in the 1/Nc expansion

J. L. Goity, C. Jayalath, N. N. Scoccola

摘要:

在1/Nc展开的框架下,分析了SU(6)56重态正宇称重子的部分衰变宽度。所考虑的通道是那些发射单个π介子、K介子或K-杆介子的通道,分析在1/Nc中进行到次领先级,在SU(3)对称性破缺中进行到一级。Roper共振所属的多重态[56,0 +]的结果表明,在前导级的描述很差,需要重要的次前导级校正。对于多重态[56,2 +],非奇异扇区中的P波衰减在首阶得到了很好的描述,而F波衰减需要下一个首阶修正,这是自然量级。SU(3)破缺效应的确定性很差,因为只有少数几个K介子处于末态的衰变被建立,而且它们的宽度也没有足够的精确度。

英文摘要:

The partial decay widths of positive parity baryons belonging to 56-plets of SU(6) are analyzed in the framework of the 1/Nc expansion. The channels considered are those with emission of a single pion, K or K-bar mesons, and the analysis is carried out to subleading order in 1/Nc and to first order in SU(3) symmetry breaking. The results for the multiplet [56,0+], to which the Roper resonance belongs, indicate a poor description at leading order, requiring important next to leading order corrections. For the multiplet [56,2+], the P-wave decays in the non-strange sector are well described at leading order, while the F-wave decays require the next to leading order corrections, which turn out to be of natural magnitude. SU(3) breaking effects are poorly determined, because only few decays with K meson in final state are established, and their widths are not known with sufficient accuracy.

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