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arXiv 2104.01962nucl-thhep-exhep-phnucl-ex
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两体波函数和散射振幅的复合性:II。物理$N ^{\ast}$和$Δ^{\ast}$共振的应用

Two-body wave functions and compositeness from scattering amplitudes: II. Application to the physical $N ^{\ast}$ and $Δ^{\ast}$ resonances

Takayasu Sekihara

摘要:

本文用复合性的概念研究了$N^{\ast}$和$Δ^{\ast}$共振态的介子-重子分子分量,复合性定义为介子-重子散射振幅的二体波函数的范数。散射振幅是在介子交换模型中的$πN$ - $ηN$-$σN$ - $ρN$ - $πΔ$耦合通道问题中构造的,其中包括几个裸$N^{\ast}$和$Δ^{\ast}$态,并拟合参数,以便再现具有轨道角动量$L \le 2$的直到质心能量1.9 GeV的在壳层上的$πN$分波振幅.结果表明,$N (1440)$的Roper共振主要由$πN$和$σN$分子组成,而裸态贡献很小.坐标空间中的平方波函数意味着在$πN$和$σN$通道中,对于$N (1440)$共振,介子和重子之间的距离大约大于1 fm。另一方面,在本模型中的任何其他$N^{\ast}$和$Δ^{\ast}$共振中都没有观察到占主导地位的介子-重子分子成分,尽管它们具有介子-重子云的一些部分。

英文摘要:

The meson-baryon molecular components for the $N^{\ast}$ and $Δ^{\ast}$ resonances are investigated in terms of the compositeness, which is defined as the norm of the two-body wave function from the meson-baryon scattering amplitudes. The scattering amplitudes are constructed in a $πN$-$ηN$-$σN$-$ρN$-$πΔ$ coupled-channels problem in a meson exchange model together with several bare $N^{\ast}$ and $Δ^{\ast}$ states, and parameters are fitted so as to reproduce the on-shell $πN$ partial wave amplitudes up to the center-of-mass energy 1.9 GeV with the orbital angular momentum $L \le 2$. As a result, the Roper resonance $N (1440)$ is found to be dominated by the $πN$ and $σN$ molecular components while the bare-state contribution is small. The squared wave functions in coordinate space imply that both in the $πN$ and $σN$ channels the separation between the meson and baryon is about more than 1 fm for the $N (1440)$ resonance. On the other hand, dominant meson-baryon molecular components are not observed in any other $N^{\ast}$ and $Δ^{\ast}$ resonances in the present model, although they have some fractions of the meson-baryon clouds.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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