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arXiv 0901.4854hep-ph
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用夸克模型方法研究ρ-> γ π和ω-> γ π衰变及夸克对π介子辐射耦合的估计

The rho -> gamma pi and omega -> gamma pi decays in quark-model approach and estimation of coupling for pion emission by quark

A. V. Anisovich, V. V. Anisovich, L. G. Dakhno, M. A. Matveev, V. A. Nikonov, A. V. Sarantsev

备注：
23 pages in IOP format
发表信息：
Phys.Atom.Nucl.73:462-477,2010
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摘要：

在相对论和规范不变谱积分方法的框架下，假设所有介子（π，ρ和ω）都是夸克-反夸克态，计算了辐射衰变ρ（770）-> γ π（140）和ω（780）-> γ π（140）.介子和光子的q反q波函数得到了相当好的数据描述（$Γ^{(exp)}_{ρ^{\pm} \toγπ^{\pm}}=68\pm 30$ keV，$Γ^{(exp)}_{ρ^{0}\toγπ^0}=77\pm 28$ keV，$Γ^{(exp)}_{ω\toγπ^0}=776\pm 45$ keV），这使得估计夸克$g_π\equiv g_π(u\to d π)$对π介子韧致辐射的耦合成为可能。我们发现了两个值的介子韧致辐射耦合：$|g_π|=16.7 \pm 0.3 ^{+0.1}_{-2.3}$（解决方案I）和$|g_π|=3.0 \pm 0.3 ^{+0.1}_{-2.1}$（解决方案II）。在核子的SU（6）对称性范围内，解I给出了π-N耦合的值$16.4 \le g_{πNN}^2/(4π) \le 23.2$，它与π-N散射数据$g_{πNN}^2/(4π)\simeq 14$定性一致。对于激发态，我们估计了溶液I中的部分宽度如下：$Γ(ρ_{2S}^\pm\to γπ)\simeq 10 - 130$ keV，$Γ(ρ_{2S}^0\to γπ)\simeq 10 -130$ keV，$Γ(ω_{2S}\to γπ)\simeq 60 - 1080$ keV。大的不确定性强调了在大质量区域进行介子辐射过程测量的必要性。

英文摘要：

In the framework of the relativistic and gauge invariant spectral integral technique, we calculate radiative decays rho(770)-> gamma pi(140) and omega(780)-> gamma pi(140) supposing all mesons (pi, rho and omega) to be quark-antiquark states. The q anti-q wave functions found for mesons and photon lead to a reasonably good description of data ($Γ^{(exp)}_{ρ^{\pm} \toγπ^{\pm}}=68\pm 30$ keV, $Γ^{(exp)}_{ρ^{0}\toγπ^0}=77\pm 28$ keV, $Γ^{(exp)}_{ω\toγπ^0}=776\pm 45$ keV) that makes it possible to estimate the coupling for the bremsstrahlung emission of pion by quarks $g_π\equiv g_π(u\to d π)$. We have found two values for the pion bremsstrahlung coupling: $|g_π|=16.7 \pm 0.3 ^{+0.1}_{-2.3}$ (Solution I) and $|g_π|=3.0 \pm 0.3 ^{+0.1}_{-2.1}$ (Solution II). Within SU(6)-symmetry for nucleons, Solution I gives us for pi NN coupling the value $16.4 \le g_{πNN}^2/(4π) \le 23.2$ that is in qualitative agreement with the pi N scattering data, $g_{πNN}^2/(4π)\simeq 14$. For excited states, we have estimated the partial widths in Solution I as follows: $Γ(ρ_{2S}^\pm\to γπ)\simeq 10 - 130$ keV, $Γ(ρ_{2S}^0\to γπ)\simeq 10 -130$ keV, $Γ(ω_{2S}\to γπ)\simeq 60 - 1080$ keV. The large uncertainties emphasise the necessity to carry out measurements of the meson radiative processes in the region of large masses.

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