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arXiv 1804.05992nucl-th
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重自共轭核中$α$粒子和准稳核$α$ -粒子凝聚体的排斥四体相互作用

Repulsive Four-Body Interactions of $α$ Particles and Quasi-Stable Nuclear $α$-Particle Condensates in Heavy Self-Conjugate Nuclei

Dong Bai, Zhongzhou Ren

摘要:

用半解析方法研究了重自共轭核中$α$粒子的排斥四体相互作用对核$α$ -粒子凝聚态的影响,发现排斥四体相互作用降低了$α$-粒子凝聚态的临界数,超过该临界数,准稳定的$α$ -粒子凝聚态将不复存在,即使这些四体相互作用对$^{16}$ O的类霍伊尔态的总能量只有很小的贡献。解释性地,我们研究了八个基准参数集,发现当四体相互作用消失时,临界数$N_\text{cr}$从$N_\text{cr}\sim11$减少了$|ΔN_\text{cr}|\sim1-4$。我们还讨论了四体相互作用对$α$ -粒子凝聚体的能量和半径的影响。我们的研究对今后研究重自共轭核中的$α$粒子凝聚体的实验有一定的参考价值。另外,$N_\text{cr}$的实验测定将有助于更好地理解$α$ -粒子相互作用,特别是四体相互作用。

英文摘要:

We study the effects of repulsive four-body interactions of $α$ particles on nuclear $α$-particle condensates in heavy self-conjugate nuclei using a semi-analytic approach, and find that the repulsive four-body interactions could decrease the critical number of $α$ particles, beyond which quasi-stable $α$-particle condensate states can no longer exist, even if these four-body interactions make only tiny contributions to the total energy of the Hoyle-like state of $^{16}$O. Explicitly, we study eight benchmark parameter sets, and find that the critical number $N_\text{cr}$ decreases by $|ΔN_\text{cr}|\sim1-4$ from $N_\text{cr}\sim11$ with vanishing four-body interactions. We also discuss the effects of four-body interactions on energies and radii of $α$-particle condensates. Our study can be useful for future experiments to study $α$-particle condensates in heavy self-conjugate nuclei. Also, the experimental determination of $N_\text{cr}$ will eventually help establish a better understanding on the $α$-particle interactions, especially the four-body interactions.

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