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arXiv 0905.0099nucl-thhep-th
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Skyrme模型中的偶质量数轻核

Light Nuclei of Even Mass Number in the Skyrme Model

Richard A. Battye, Nicholas S. Manton, Paul M. Sutcliffe, Stephen W. Wood

摘要:

本文研究了质量数B = 4,6,8,10和12的Skyrmion解的半经典刚体量子化。我们确定了每个Skyrmion的允许量子态,并发现它们经常与原子核的观测态相匹配。首次精确计算了这些Skyrmions的自旋和同位旋惯性张量,并用于确定量子态的激发能。我们计算能级分裂,使用一个适当选择的参数设置为每个质量数。我们发现良好的定性和令人鼓舞的定量协议与实验。特别是,铍-8和碳-12的转动带,以及同位旋1三重态和同位旋2五重态,特别好地再现。我们还预言了一些尚未观测到的态的存在,并对一些观测到的态的未知量子数进行了预言。

英文摘要:

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.

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。

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