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Baryonic resonances from baryon decuplet-meson octet interaction

机译:重子decuplet-介子八位位组相互作用的重子共振

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摘要

We study S-wave interactions of the baryon decuplet with the octet of pseudoscalar mesons using the lowest order chiral Lagrangian. In the S = 1 sector, we find an attractive interaction in the Delta K channel with I = 1 while it is repulsive for I = 2. The attractive interaction leads to a pole in the second Riemann sheet of the complex plane and is manifested as a large strength in the scattering amplitude close to the Delta K threshold, which is not the case for I = 2.We use the unitarized coupled channel approach to also investigate all the other possible values of strangeness and isospin. We find two bound states in the SU(3) limit corresponding to the octet and decuplet representations. These are found to split into eight different trajectories in the complex plane when the SU(3) symmetry is broken gradually. Finally, we are able to provide a reasonable desciption for a good number of 4-star 3/2(-) resonances isted by the Paticle Data Group. In particular, the Xi(1820), the Lambda(1520) and the Sigma(1670) states are well reproduced. We predict a few other resonances and also evaluate the couplings of the observed resonances to the various channels from the residues at the poles of the scattering matrix from where partial decay widths into different channels can be evaluated. (c) 2005 Elsevier B.V. All rights reserved.
机译:我们使用最低阶手性拉格朗日研究了重子十重子与伪标量介子八比特组的S波相互作用。在S = 1扇区中,我们发现在Delta K通道中,当I = 1时,它具有排斥性,而对I = 2则具有吸引作用。该吸引作用在复平面的第二个黎曼片中产生一个极点,并表现为接近Delta K阈值的散射振幅具有很大的强度,对于I = 2则不是这种情况。我们使用统一耦合通道方法还研究了所有其他可能的陌生度和同位旋值。我们在SU(3)极限中找到两个与八位位组和十进制表示相对应的绑定状态。当SU(3)对称性逐渐破坏时,它们会在复杂平面中分裂为八个不同的轨迹。最后,我们能够为Paticle数据组浪费的大量4星3/2(-)共振提供合理的依据。特别是,Xi(1820),Lambda(1520)和Sigma(1670)状态被很好地再现。我们预测了其他一些共振,并且还从散射矩阵两极的残留物评估了观察到的共振与各个通道的耦合,从中可以评估进入不同通道的部分衰减宽度。 (c)2005 Elsevier B.V.保留所有权利。

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