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Skyrmions, Tetrahedra and Magic Numbers
Quarterly Journal of Mathematics ( IF 0.7 ) Pub Date : 2020-07-03 , DOI: 10.1093/qmathj/haaa025
Nicholas S Manton 1
Affiliation  

Michael Atiyah’s interest in Skyrmions and their relationship to monopoles and instantons is recalled. Some approximate models of Skyrmions with large baryon numbers are then considered. Skyrmions having particularly strong binding are clusters of unit baryon number Skyrmions arranged as truncated tetrahedra. Their baryon numbers, |$B = 4 \,, 16 \,, 40 \,, 80 \,, 140 \,, 224$|⁠, are the tetrahedral numbers multiplied by four, agreeing with the magic proton and neutron numbers |$2 \,, 8 \,, 20 \,, 40 \,, 70 \,, 112$| occurring in the nuclear shell model in the absence of strong spin-orbit coupling.

中文翻译:

Skyrmions,四面体和魔术数字

回忆起迈克尔·阿迪亚(Michael Atiyah)对Skyrmions及其与单极子和瞬子的关系的兴趣。然后考虑具有大重子数的Skyrmions的一些近似模型。具有特别强的结合力的天rm是单位重子数天rm的簇,排列成截短的四面体。它们的重子数|| $ B = 4 \,\ 16 \,\ 40 \,\ 80 \,\ 140 \,224 * |⁠是四面体数乘以四,与质子数和中子数一致| $ 2 \,,8 \,,20 \ ,, 40 \ ,, 70 \ ,, 112 $ | 在没有强自旋轨道耦合的情况下发生在核壳模型中。
更新日期:2020-07-03
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