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A new ground-state band level energy formula for transitional nuclei

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arxiv 1710.06986 v2 pith:J64SGOPH submitted 2017-10-19 nucl-th

Shuifa Shen , Jing Pan , Yupeng Yan , Jiejie Shen , Feipeng Wang , Tingtai Wang , Jiaming Jiang , Jing Song
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Mengyun Cheng Lijuan Hao
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keywords formulanucleiground-stateproposedsofttransitionaladoptedapproximations
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A new three parameter formula is proposed for ground-state bands in even-even soft rotors or called transitional nuclei. The new formula blends those of very soft nuclei and well deformed nuclei. Especially, it is found in fact that the formula proposed by P. von Brentano et al. can be derived from our formula if some approximations are adopted and it can be explained why in their work the energy-dependent term beta*E can be dropped. Compared to their formula it can be resulted in that the range of validity of our formula will be much broader than theirs.

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