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arXiv 0911.3429hep-ph
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手征微扰理论中超子的性质

Properties of hyperons in chiral perturbation theory

J. Martin Camalich, L. S. Geng, L. Alvarez-Ruso, M. J. Vicente Vacas

摘要:

超子现象学中手征微扰理论的发展由于幂次计算的微妙性和可能的缓慢收敛而受到困扰。此外,重子共振的存在,例如最低的十重态,使方法复杂化,并且包括它们的影响可能变得必要。最近,我们已经表明,一个相当好的收敛是可能的,使用重整化处方的循环发散恢复的功率计数,是协变的和一致的解析性。此外,我们已经系统地纳入了十重共振照顾功率计数和$consistency$的问题。这种方法成功地实现了对重子八重态磁矩、十重态共振的电磁结构和超子矢量耦合$f_1(0)$等不同性质的模型无关的理解。我们将简要地回顾这些发展,并强调它们发挥的重要作用,准确地确定Cabibbo-Kobayashi-Maskawa矩阵元$V_{us}$超子半轻子衰变数据。

英文摘要:

The development of chiral perturbation theory in hyperon phenomenology has been troubled due to power-counting subtleties and to a possible slow convergence. Furthermore, the presence of baryon-resonances, e.g. the lowest-lying decuplet, complicates the approach, and the inclusion of their effects may become necessary. Recently, we have shown that a fairly good convergence is possible using a renormalization prescription of the loop-divergencies which recovers the power counting, is covariant and consistent with analyticity. Moreover, we have systematically incorporated the decuplet resonances taking care of both power-counting and $consistency$ problems. A model-independent understanding of diferent properties including the magnetic moments of the baryon-octet, the electromagnetic structure of the decuplet resonances and the hyperon vector coupling $f_1(0)$, has been successfully achieved within this approach. We will briefly review these developments and stress the important role they play for an accurate determination of the Cabibbo-Kobayashi-Maskawa matrix element $V_{us}$ from hyperon semileptonic decay data.

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