arXiv 1409.71552014-09-25nucl-th

$^{14,15,16}$ C同位素反应截面的反晕效应

Anti-halo effects on reaction cross sections for $^{14,15,16}$C isotopes

Takuma Matsumoto, Masanobu Yahiro

备注：: 5pages, 4 figures
DOI：: 10.1103/PhysRevC.90.041602

摘要：

利用$g$ -矩阵双折叠模型，研究了83 MeV/核子能量下$^{12}$ C与$^{14,15,16}$ C散射的反应截面$σ_{\rm R}$的反晕效应. $^{15}$ C由$^{14}$ C~+~ $n$二体模型描述，该模型再现了测量的大s波光谱因子，即，1 s $_{1/2}$轨道能量低于0 d $_{5/2}$轨道能量的壳层反转。$^{16}$ C由$^{14}$ C~+~ $n$ ~+~ $n$三体模型描述，该三体模型具有解释测量的小s波光谱因子的唯象三体力（3BF）。3BF允许$^{14}$ C + $n$子系统的单粒子能量依赖于第二个中子距子系统质心的位置$r$。对于大的$r$，1 s $_{1/2}$轨道低于0 d $_{5/2}$轨道，但对于小的$r$，壳层反转恢复。由于“部分壳层反转”而产生的抗晕效应使得$^{16}$ C的$σ_{\rm R}$小于$^{15}$ C。我们还研究了连续离散耦合通道方法的质量数依赖的$σ_{\rm R}$的弹丸破碎效果。

英文摘要：

We study anti-halo effects on reaction cross sections $σ_{\rm R}$ for $^{14,15,16}$C scattering from a $^{12}$C target at 83~MeV/nucleon, using the $g$-matrix double-folding model. $^{15}$C is described by the $^{14}$C~+~$n$ two-body model that reproduces the measured large s-wave spectroscopic factor, i.e., the shell inversion that the 1s$_{1/2}$ orbital is lower than the 0d$_{5/2}$ orbital in energy. $^{16}$C is described by the $^{14}$C~+~$n$~+~$n$ three-body model with the phenomenological three-body force (3BF) that explains the measured small s-wave spectroscopic factor. The 3BF allows the single-particle energies of the $^{14}$C + $n$ subsystem to depend on the position $r$ of the second neutron from the center of mass of the subsystem. The 1s$_{1/2}$ orbital is lower than the 0d$_{5/2}$ orbital for large $r$, but the shell inversion is restored for small $r$. Anti-halo effects due to the "partial shell inversion" make $σ_{\rm R}$ for $^{16}$C smaller than that for $^{15}$C. We also investigate projectile breakup effects on the mass-number dependence of $σ_{\rm R}$ with the continuum discretized coupled-channels method.

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