SU(3)对称费米子系统中核力所偏好的最高权不可约表示
Highest weight irreducible representations favored by nuclear forces within SU(3)-symmetric fermionic systems
AI总结：
研究在SU(3)对称费米子系统中考察吸引性短程NN相互作用如何偏好最高权不可约表示，并利用proxy-SU(3)简单哈密顿量解释形状转变及稀土核结合能与双中子分离能。
摘要：
本文综述了吸引性短程核子-核子（NN）相互作用对具有SU(3)对称性的核模型波函数的影响。NN相互作用偏好最对称的空间SU(3)不可约表示（irrep），这对应于费米子之间最大的空间重叠。在原子核和碱金属团簇中考虑最高权（hw）不可约表示，可预测在中壳层区域之外会发生长椭球形到扁椭球形的形状转变。随后，在proxy-SU(3)方案内，通过考虑一个仅含三维（3D）各向同性谐振子（HO）项和四极-四极相互作用的非常简单的哈密顿量，讨论了使用hw不可约表示对稀土区域结合能和双中子分离能的影响。该哈密顿量保持SU(3)对称性，并将原子核视为刚性转子。
英文摘要：
The consequences of the attractive, short-range nucleon-nucleon (NN) interaction on the wave functions of nuclear models bearing the SU(3) symmetry are reviewed. The NN interaction favors the most symmetric spatial SU(3) irreducible representation (irrep), which corresponds to the maximal spatial overlap among the fermions. The consideration of the highest weight (hw) irreps in nuclei and in alkali metal clusters, leads to the prediction of a prolate to oblate shape transition beyond the mid-shell region. Subsequently, the consequences of the use of the hw irreps on the binding energies and two-neutron separation energies in the rare earth region are discussed within the proxy-SU(3) scheme, by considering a very simple Hamiltonian, containing only the three dimensional (3D) isotropic harmonic oscillator (HO) term and the quadrupole-quadrupole interaction. This Hamiltonian conserves the SU(3) symmetry and treats the nucleus as a rigid rotator.
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。
