Light nuclei of even mass number in the Skyrme model

被引:72
作者
Battye, R. A. [1 ]
Manton, N. S. [2 ]
Sutcliffe, P. M. [3 ]
Wood, S. W. [2 ]
机构
[1] Univ Manchester, Jodrell Bank, Ctr Astrophys, Manchester M13 9PL, Lancs, England
[2] Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England
[3] Univ Durham, Dept Math Sci, Durham DH1 3LE, England
来源
PHYSICAL REVIEW C | 2009年 / 80卷 / 03期
关键词
ENERGY-LEVELS; RATIONAL MAPS;
D O I
10.1103/PhysRevC.80.034323
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
We consider the semiclassical rigid-body quantization of Skyrmion solutions of mass numbers B = 4, 6, 8, 10, and 12. We determine the allowed quantum states for each Skyrmion and find that they often match the observed states of nuclei. The spin and isospin inertia tensors of these Skyrmions are accurately calculated for the first time and are used to determine the excitation energies of the quantum states. We calculate the energy level splittings, using a suitably chosen parameter set for each mass number. We find good qualitative and encouraging quantitative agreement with experiment. In particular, the rotational bands of beryllium-8 and carbon-12, along with isospin 1 triplets and isospin 2 quintets, are especially well reproduced. We also predict the existence of states that have not yet been observed and make predictions for the unknown quantum numbers of some observed states.
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页数:16
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