论文标题

袋模型中的质量运动中心

Center of mass motion in bag model

论文作者

Liu, Chia-Wei, Geng, Chao-Qiang

论文摘要

尽管质谱取得了巨大的成功,但袋子模型的声誉与大规模运动中心的尴尬紧密相关。它导致严重的理论不一致。例如,质量和衰减常数将不再独立于动量。在这项工作中,我们提供了一种解决此问题的系统方法。梅森腐烂常数以及巴里昂过渡形式可以在我们的框架中始终如一地计算。值得注意的是,中子$β$衰减中的形式因素并不取决于任何免费参数,并且被确定为$ f^v_1 = 1 $和$ f^a_1 = 1.31 $或$ f_1^a/f_1^a/f_1^v = 1.31 $,它是$ f^a_1/f^a_1/f^v_1 = 1.27 $的实验价值。此外,我们发现$ {\ cal b}(λ_b\toλγ)=(6.8 \ pm 3.3)\ times 10^{ - 6} $,它同意$(7.1 \ pm 1.7)\ times 10^{ - 6} $的实验值(7.1 \ pm 1.7)$。

Despite the great success on the mass spectra, the reputation of the bag model has been closely followed by the embarrassment from the center of mass motion. It leads to severe theoretical inconsistencies. For instance, the masses and the decay constants would no longer be independent of the momentum. In this work, we provide a systematical approach to resolve this problem. The meson decay constants as well as the baryon transition form factors can be computed consistently in our framework. Notably, the form factors in the neutron $β$ decays do not depend on any free parameters, and are determined to be $F^V_1 =1 $ and $F^A_1 = 1.31$ or $F_1^A/F_1^V= 1.31$, which is close the experimental value of $F^A_1/F^V_1 = 1.27$. In addition, we find that ${\cal B} (Λ_b \to Λγ) = (6.8 \pm 3.3 ) \times 10^{-6} $, which agrees to the experimental value of $(7.1\pm 1.7)\times 10^{-6}$.

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