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arXiv 2210.11276hep-ph
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从氘靶上的$ω$和$ϕ$差分光产生截面提取$ω$ n、$ω$ p和PDMATHAAB N散射长度

Extraction of $ω$n, $ω$p and $ϕ$N scattering lengths from $ω$ and $ϕ$ differential photoproduction cross sections on the deuterium target

Chengdong Han, Wei Kou, Rong Wang, Xurong Chen

摘要:

在这项研究中,我们试图提取$ωn$,$ωp$和$ϕ$ N散射长度的微分截面数据的近阈值$ω$和$ϕ$光产生不仅在阈值t $_{thr}$的能量,而且在t到t = 0。CBELSA/TAPS和LEPS分别提供了氘靶上$ω$和$ϕ$光生散射长度的非相干数据,其中氘通常近似为一个准自由中子加一个准自由质子的弱束缚态。在矢量介子贡献模型和微分截面能量无关的假设下,在阈值t $_{thr}$下,得到了氘中松束缚中子和质子的$|α_{ωn^{*}}|$和$|α_{ωp^{*}}|$分别为0.709 $\pm$ 0.078 fm和0.621 $\pm$ 0.022 fm通过拟合$γ$ d $\rightarrow$ $ω$ n(p)和$γ$ d $\rightarrow$ $ω$ p(n)的近阈值数据,首次获得了1.258 $\pm$ 0.130 fm和1.056 $\pm$ 0.032 fm(t至t = 0)。为了进行比较研究,我们还提取了CBELSA/TAPS协作组的$ω$光生氢靶上的自由质子的散射长度$|α_{ωp}|$。利用LEPS合作组的近阈值和非相干$ϕ$光生数据,得到了束缚核子在氘核内的散射长度$|α_{ϕN}|$在阈值$_{thr}$和t ~ t = 0时分别为0.109PDMATHABMT 0.008fm和$\pm$ 0.010fm.在当前的不确定度范围内,所获得的$|α_{ωp}|$和$|α_{ϕN}|$与实验指示和理论预测基本一致。

英文摘要:

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.

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