带电和中性奇异矢量介子的电磁结构
Electromagnetic structure of charged and neutral strange vector mesons
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中文总结 AI 辅助
研究带电和中性奇异矢量介子电磁结构,在协变NJL模型中用施温格适当时间正则化方案,评估相关形状因子和电荷半径、磁矩等,所得结果与其他理论计算和模拟一致。
中文摘要 AI 辅助
我们在协变Nambu-Jona-Lasinio(NJL)模型中研究带电的\(K^{* +}(892)\)(\(u\bar{s}\))和中性的\(K^{0}(896)\)(\(d\bar{s}\))奇异矢量介子的电磁形状因子(EMFFs)。采用施温格适当时间正则化方案来规范紫外发散,同时纳入夸克禁闭的QCD方面。为此,我们评估了带电的\(K^{+}(892)\)和中性的\(K^{0}(896)\)奇异矢量介子的电荷(电)\(G_C(Q^2)\)、磁\(G_M(Q^2)\)和四极\(G_Q(Q^2)\)形状因子以及电荷半径。我们发现\(K^{+}\)的电荷半径\(\langle r^2 \rangle_{K^{+}} = 0.45~fm^2\),\(K^{0}\)的电荷半径\(\langle r^2 \rangle_{K^{0}} = -0.04~fm^2\),相应的磁矩分别为\(\mu_{K^{+}} = 2.67\mu_N\)和\(\mu_{K^{*0}} = 0.032\mu_N\)。这些结果与其他理论计算和晶格QCD模拟一致。
英文摘要
We investigate the electromagnetic form factors of the charged $K^{*+}(892)$ ($u\bar{s}$) and neutral $K^{0}(896)$ ($d\bar{s}$) strange vector mesons within the covariant Nambu--Jona-Lasinio model, employing the Schwinger proper-time regularization scheme to regularize ultraviolet divergences while incorporating the QCD aspect of quark confinement. To this end, we evaluate the charge (electric) $G_C(Q^2)$, magnetic $G_M(Q^2)$, and quadrupole $G_Q(Q^2)$ form factors, as well as the charge radii, of the charged $K^{+}(892)$ and neutral $K^{0}(896)$ strange vector mesons. We find the charge radii to be $\langle r^2 \rangle_{K^{+}} = 0.45~\mathrm{fm}^2$ and $\langle r^2 \rangle_{K^{0}} = -0.04~\mathrm{fm}^2$, respectively, while the corresponding magnetic moments are $μ_{K^{+}} = 2.67,μ_N$ and $μ_{K^{*0}} = 0.032,μ_N$. These results are consistent with other theoretical calculations and lattice QCD simulations.
发表机构
- Hiroshima University(广岛大学)
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