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arXiv 1312.6567nucl-thhep-exhep-phnucl-ex
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带电和中性π介子偶极极化率之间的关系

Relation between the dipole polarizabilities of charged and neutral pions

L. V. Fil'kov

备注：
6 pages, 2 figures, a few references added, misprints corrected
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摘要：

利用同位旋I=0的态对过程γγ->π^+π^-和γγ->π^0π^0振幅差的贡献很小这一事实，我们分析了带电和中性π介子偶极极化率差随σ介子参数变化的色散和规则。考虑到（α-β）_π ^0 =-1.9的电流微扰值，在M_s=400--550 MeV，Γ_s=400--600 MeV，Γ_{ \s ->γγ}= 0--3 keV范围内，我们得到（α-β）_π^（+-）=9.4--8.2。结果表明，如果能从实验中可靠地确定（α-β）_π^（+-）的差值，就能求出h_1（1170）介子衰变到γπ^0的宽度值。对衰变宽度σ->γγ的最佳值的估计，使Γ_{ \s ->γγ}<0.7$keV。

英文摘要：

Using the fact that the contribution of the states with isospin I=0 in the difference of the amplitudes of the processes γγ->π^+π^- and γγ->π^0π^0 is very small, we have analyzed the dispersion sum rules for the difference between the dipole polarizabilities of the charged and neutral pions as a function of the σ-meson parameters. Then taken into account the current perturbation value of (α-β)_π^0=-1.9, we have found (α-β)_π^(+-)=9.4--8.2 for values of the σ-meson parameter within the region: M_s=400--550 MeV, Γ_s=400--600 MeV, Γ_{\s->γγ}= 0--3 keV. It has been shown that the value of the decay width of the h_1(1170)- meson into γπ^0 can be found if the difference (α-β)_π^(+-) is reliably determined from the experiment. Estimation of the optimal value of the decay width σ->γγhas given Γ_{\s->γγ}<0.7$keV.

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