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arXiv 0910.3542hep-th
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Sakai-Sugimoto模型中的重子Binding Energy

Baryon Binding Energy in Sakai-Sugimoto Model

J. Sadeghi, M. R. Pahlavani, S. Heshmatian, R. Morad

摘要:

本文研究了具有黑洞内部的对偶$AdS_5\times S^5$弦论中重子的结合能。在这幅图中重子是由一个包裹在$S^5$上的$D_5$膜顶点和与之相连的$N_c$基本弦构成的,我们计算了具有超对称性完全破缺的$D_4/D_8/\bar{D_8}$的Sakai-Sugimoto模型中重子的结合能.我们还检验了重子结合能对$T$的依赖性。我们认为,由于Chern-Simones与膜上规范场耦合的存在,这个模型代表了对重子的精确描述。得到了重子结合能的解析表达式。在这种情况下,我们用径向坐标来画重子结合能。然后利用结合能图确定了重子组态的稳定范围。并通过相应的图解得到了稳定平衡点的位置和能量。我们还绘制了重子结合能与温度的关系曲线,并估计了重子离解的临界温度。

英文摘要:

The binding energy of baryon has been studied in the dual $AdS_5\times S^5$ string theory with a black hole interior. In this picture baryon is constructed of a $D_5$ brane vertex wrapping on $S^5$ and $N_c$ fundamental strings connected to it. Here, we calculate the baryon binding energy in Sakai-Sugimoto model with a $D_4/D_8/\bar{D_8}$ in which the supersymmetry is completely broken. Also we check the $T$ dependence of the baryon binding energy. We believe that this model represents an accurate description of baryons due to the existence of Chern-Simones coupling with the gauge field on the brane. We obtain an analytical expression for the baryon binding energy . In that case we plot the baryon binding energy in terms of radial coordinate. Then by using the binding energy diagram, we determine the stability range for baryon configuration. And also the position and energy of the stable equilibrium point is obtained by the corresponding diagram. Also we plot the baryon binding energy in terms of temperature and estimate a critical temperature in which the baryon would be dissociated.

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