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arXiv 1504.02634nucl-th
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扩展软核重子-重子ESC08模型III。S=-2超子-超子/核子相互作用

Extended-soft-core Baryon-Baryon ESC08 model III. S=-2 Hyperon-hyperon/nucleon Interaction

M. M. Nagels, Th. A. Rijken, Y. Yamamoto

摘要:

本文给出了总奇异度S=-2的重子-重子通道的扩展软核势ESC 08 c。S=-2的势模型是基于S=0和S=-1扇区的ESC势模型的SU(3)扩展,并与实验数据进行了拟合。味SU(3)对称性只在运动学上被重子和介子的质量破缺。对于S=-2通道,没有实验散射数据,来自超核的信息也相当有限。然而,在S=0和S=-1扇区的拟合中,来自所谓的NAGARA事件和$Ξ$井深的信息已被用作约束,以确定$NN \oplus YN \oplus YY$数据的同时拟合中的自由参数。因此,S=-2扇区的势主要由NN-,YN-数据和SU(3)-对称性决定.通过给出散射长度、有效射程、束缚态、弹性和非弹性相参数以及总截面的结果,说明了势的各种性质.值得注意的是预测结合能为$B_E=1.56$ MeV的$ΞN(^3S_1,I=1)$ -通道中的结合态D $^*$。这种状态是类氘核,即$\{10^*\}$ -十重态的一员。对于正常的氘核$D= pn(^3S_1-^3D_1)$,强张量力是导致这种状态的原因。本文在G矩阵方法的基础上研究了ESC 08 c预测的$Ξ$超核的性质。阱深$U_Ξ= -7.0$ MeV,$Ξ-ΛΛ$转换宽度为$Γ_Ξ^c= 4.5$ MeV。

英文摘要:

This paper presents the Extended-Soft-Core (ESC) potentials ESC08c for baryon-baryon channels with total strangeness S=-2. The potential models for S=-2 are based on SU(3) extensions of ESC potential models for the S=0 and S=-1 sectors, which are fitted to experimental data. Flavor SU(3)-symmetry is broken only kinematically by the masses of the baryons and the mesons. For the S=-2 channels no experimental scattering data exist, and also the information from hypernuclei is rather limited. Nevertheless, in the fit to the S=0 and S=-1 sectors information from the so called NAGARA event and the $Ξ$-well-depth has been used as constraints to determine the free parameters in the simultaneous fit of the $NN \oplus YN \oplus YY$ data. Therefore, the potentials for the S=-2 sector are determined mainly by the NN-, YN-data, and SU(3)-symmetry.Various properties of the potentials are illustrated by giving results for scattering lengths, effective ranges, bound states, elastic and inelastic phase parameters, and total cross sections. Notably is the prediction of a bound state D$^*$ in the $ΞN(^3S_1,I=1)$-channel with a binding energy $B_E=1.56$ MeV. This state is deuteron-like, i.e. a member of the $\{10^*\}$-decuplet. As for the normal deuteron $D= pn(^3S_1-^3D_1)$ the strong tensor force is responsible for this state. The features of $Ξ$ hypernuclei predicted by ESC08c are studied on the basis of the G-matrix approch. The well-depth $U_Ξ= -7.0$ MeV, and the $Ξ-ΛΛ$ conversion width is $Γ_Ξ^c= 4.5$ MeV.

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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