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arXiv 0812.1199hep-ph
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隐规范幺正方法中的矢量介子-矢量介子相互作用

Vector meson-vector meson interaction in a hidden gauge unitary approach

L. S. Geng, E. Oset

摘要:

将近年来发展起来的研究矢量介子-矢量介子相互作用的方法推广到$ρρ$的情形,研究了矢量介子九重态相互作用。相互作用导致对应于束缚态或共振的散射矩阵的极点。我们发现,11个国家(无论是束缚或共振)得到动态产生的9个奇异的同位旋自旋通道。其中五个可以与PDG中报告的相一致,即,$f_0(1370)$、$f_0(1710)$、$f_2(1270)$、$f'_2(1525)$和$K^*_2(1430)$。后三个张量态的质量已被用于微调幺正方法的自由参数,即,在维数正则化方案中计算矢量介子-矢量介子环函数时的减法常数。这五个动态生成的状态的分支比被发现与数据是一致的。其他六个状态的存在应该被视为预测,由未来的实验来检验。

英文摘要:

The formalism developed recently to study vector meson--vector meson interaction, and applied to the case of $ρρ$, is extended to study the interaction of the nonet of vector mesons among themselves. The interaction leads to poles of the scattering matrix corresponding to bound states or resonances. We show that 11 states (either bound or resonant) get dynamically generated in nine strangeness-isospin-spin channels. Five of them can be identified with those reported in the PDG, i.e., the $f_0(1370)$, $f_0(1710)$, $f_2(1270)$, $f'_2(1525)$, and $K^*_2(1430)$. The masses of the latter three tensor states have been used to fine-tune the free parameters of the unitary approach, i.e., the subtraction constants in evaluating the vector meson -vector meson loop functions in the dimensional regularization scheme. The branching ratios of these five dynamically generated states are found to be consistent with data. The existence of the other six states should be taken as predictions to be tested by future experiments.

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