论文标题
提取$ω$ n，$ω$ p和$ ϕ $ n散射长度从$ω$和$ ϕ $ dixial Photoproduction cross protect在氘目标上
Extraction of $ω$n, $ω$p and $ϕ$N scattering lengths from $ω$ and $ϕ$ differential photoproduction cross sections on the deuterium target
论文作者
论文摘要
在这项研究中，我们尝试提取$ωn$，$ωp$和$ ϕ $ n散射长度从接近阈值$ω$的差分横截面数据和$ ϕ $ ϕ $ ϕ $ photopropoduductions不仅在阈值t $ _ {thr} $上，而且在t = 0的范围内。提取分别由CBELSA/TAPS协作和LEPS协作提供，其中deuteron通常被视为无准中子和无准蛋白的弱绑定状态。在矢量介子降解模型和差分横截面的能量独立性的假设下，我们获得了$ |α_{ωn^{*}} | $和$ |α_{ωp^{**}} | $ neustron和proton in deuteron in deuteron的$ 0.709 $ $ \ $ \ $ \ pmm pmm $ \ pmm $ \ pmm $ \ pmm pmm $ \ pmm $ \ pmm，在阈值T $ _ {thr} $（1.258 $ \ pm $ 0.130 fm和1.056 $ \ pm $ 0.032 fm t = 0）的情况下，分别为0.022 fm（1.258 $ \ pm $ 0.130 fm和1.056 $ \ pm $ 0.032 fm），这是第一次安装$γ$ d $ d $ d $ $ \ rightarrow $ $ $ $ $ $ $ $ d $ d $ d $ d $ d $ d $ d $ d $ d $ d $ d $ d（p）和$ω$ P（n）。为了进行比较研究，我们还从CBELSA/TAPS协作中提取了从氢目标上的$ω$光生产生的散射长度$ | |α_{ωp} | $。由于LEPS协作的接近阈值和不一致的$ ϕ $光子增生数据的数据为$γ$ d $ \ rightarrow $ $ $ $ $ $ $ ϕ $ pn，我们获得了deuteron内部界核的散射长度$ |α_{ϕn} | $ 0.109 $ $ \ pm $ $ $ \ pm $ $ pm pm pm at threshold pm _ $ _____ / pm n 0.008 T = 0分别为0.010 fm。所获得的$ |α_{ωp} | $和$ |α_{ϕn} | $基本上与实验指示和当前不确定性内的理论预测一致。
In this study, we try to extract $ωn$, $ωp$ and $ϕ$N scattering lengths from the differential cross-section data of near-threshold $ω$ and $ϕ$ photoproductions not only to the energy at threshold t$_{thr}$, but also in t to t = 0. The incoherent data of $ω$ and $ϕ$ photoproductions on deuterium target for scattering length extractions are provided by CBELSA/TAPS Collaboration and LEPS Collaboration respectively, where the deuteron is usually approximated as a weakly bound state of a quasi-free neutron plus a quasi-free proton. Under the Vector Meson Doninance model and the assumption of energy independence of the differential cross-section, we obtained the $|α_{ωn^{*}}|$ and $|α_{ωp^{*}}|$ of loosely bound neutron and proton in the deuteron to be 0.709 $\pm$ 0.078 fm and 0.621 $\pm$ 0.022 fm respectively at threshold t$_{thr}$ (1.258 $\pm$ 0.130 fm and 1.056 $\pm$ 0.032 fm respectively in t to t = 0) for the first time by fitting the near-threshold data of $γ$d $\rightarrow$ $ω$n(p) and $γ$d $\rightarrow$ $ω$p(n). For a comparison study, we also extracted the scattering length $|α_{ωp}|$ of the free proton from the $ω$ photoproduction on the hydrogen target by CBELSA/TAPS Collaboration. With the near-threshold and incoherent $ϕ$ photoproduction data of $γ$d $\rightarrow$ $ϕ$pn by LEPS Collaboration, we obtained scattering length $|α_{ϕN}|$ of the bound nucleon inside the deuteron to be 0.109 $\pm$ 0.008 fm at threshold t$_{thr}$ and 0.276 $\pm$ 0.010 fm in t to t = 0, respectively. The obtained $|α_{ωp}|$ and $|α_{ϕN}|$ are basically in agreement with the experimental indications and the theoretical predictions within the current uncertainties.
