论文标题
Hypersphere Soliton模型中的Baryon拓扑
Baryon topology in hypersphere soliton model
论文作者
论文摘要
利用拓扑孤子在超孔上，我们构建了核子电荷轮廓函数，并找到了质子和中子绘制的密度分布，而不是超孔螺旋体第三角$μ$。中子电荷密度显示为非平凡的$μ$依赖性，包括正电荷密度分数。接下来，我们通过利用与歧管$ s^{3} $中半扭圆圈的管状邻域相关的原理莫比乌斯条，研究Hypersphere Soliton的内部拓扑。特别是，我们发现在Hypersphere soliton中，核子是根据$ s^{3} $的两个Möbius带状圆圈的结结构来划定的。此外，在Hypersphere soliton中的两个HOPF连接的Möbius带状型圆圈在Quark模型中分别与中子中的质子和（dd，u）中的（uu，d）相对应。
Exploiting a topological soliton on a hypersphere, we construct nucleon charge profile functions and find the density distributions for proton and neutron plotted versus the hypersphere third angle $μ$. The neutron charge density is shown to possess a nontrivial $μ$ dependence, consisting of both positive and negative charge density fractions. We next investigate the inner topology of the hypersphere soliton, by making use of the schematic Möbius strips which are related with the tubular neighborhood of half-twist circle in the manifold $S^{3}$. In particular, we find that in the hypersphere soliton the nucleons are delineated in terms of a knot structure of two Möbius strip type circles in $S^{3}$. Moreover, the two Hopf-linked Möbius strip type circles in the hypersphere soliton are shown to correspond to (uu, d) in proton and (dd, u) in neutron, respectively, in the quark model.
