标题： 吸引通道的Skyrmion和氘核 显示英文标题

标题： Attractive Channel Skyrmions and the Deuteron

摘要： 氘核被描述为一个十维流形上的量子态，该流形是二阶Skyrme场的$M_{10}$，这些场是通过计算$SU(2)$瞬子的全纯性得到的。 流形$M_{10}$包括最低能量的环状构型以及在最吸引人的相对取向下近似为两个Skyrmion乘积的构型。 量子哈密顿量的形式为$-\Delta +V$，其中$\Delta$是$M_{10}$上的协变拉普拉斯算子，$V$是$M_{10}$从 Skyrme 势能泛函继承的势能。 量子态是$M_{10}$的二重覆盖上的复值函数，并满足某些约束条件。 存在一个具有氘核量子数的束缚态，其结合能约为 6 MeV。 一些氘核的静电和静磁性质也被计算并和实验进行了比较。 显示英文摘要

摘要： The deuteron is described as a quantum state on a ten-dimensional manifold $M_{10}$ of Skyrme fields of degree two, which are obtained by calculating the holonomy of $SU(2)$ instantons. The manifold $M_{10}$ includes both toroidal configurations of minimal energy and configurations which are approximately the product of two Skyrmions in the most attractive relative orientation. The quantum Hamiltonian is of the form $-\Delta +V$, where $\Delta$ is the covariant Laplace operator on $M_{10}$ and $V$ is the potential which $M_{10}$ inherits from the Skyrme potential energy functional. Quantum states are complex-valued functions on the double cover of $M_{10}$ satisfying certain constraints. There is a unique bound state with the quantum numbers of the deuteron, and its binding energy is approximately 6 MeV. Some of the deuteron's electrostatic and magnetostatic properties are also calculated and compared with experiment.