用MAIKo活性靶测量$^{10}$ C $(α,α')$推算$^{10}$ C的中子四极跃迁强度
Neutron quadrupole transition strength in $^{10}$C deduced from the $^{10}$C$(α,α')$ measurement with the MAIKo active target
摘要：
用68 MeV/u的放射性$^{10}$ C束入射到最近研制的MAIKo主动靶系统上，测量了$^{10}$ C的弹性和非弹性α散射。由弹性散射数据确定了唯象的有效$α$ - $N$相互作用和基态点-核子密度分布。利用这种相互作用和密度分布计算了非弹性α散射的截面，并与实验进行了比较，以确定$^{10}$ C中$E_{x} = 3.35$ MeV时基态和$2_{1}^{+}$态之间的中子四极跃迁矩阵元$M_{n}$。导出的中子跃迁矩阵元为$M_{n} = 6.9\, \pm0.7\, \mathrm{(fit)}\, \pm1.2\, \mathrm{(sys)}$ fm $^{2}$。中子跃迁强度与质子跃迁强度之比被确定为$M_{n}/M_{p} = 1.05\, \pm0.11\, \mathrm{(fit)}\, \pm0.17\, \mathrm{(sys)}$，这表明与$^{16}$ C中的四极跃迁相比，$^{10}$ C中基态与$2_{1}^{+}$态之间的四极跃迁较少中子占优势。
英文摘要：
Elastic and inelastic alpha scatterings on $^{10}$C were measured using a 68-MeV/u radioactive $^{10}$C beam incident on the recently developed MAIKo active target system. The phenomenological effective $α$-$N$ interaction and the point-nucleon density distribution in the ground state were determined from the elastic scattering data. The cross sections of the inelastic alpha scattering were calculated using this interaction and density distribution and were compared with the experiment to determine the neutron quadrupole transition matrix element $M_{n}$ between the ground state and the $2_{1}^{+}$ state at $E_{x} = 3.35$ MeV in $^{10}$C. The deduced neutron transition matrix element is $M_{n} = 6.9\, \pm0.7\, \mathrm{(fit)}\, \pm1.2\, \mathrm{(sys)}$ fm$^{2}$. The ratio of the neutron transition strength to proton transition strength was determined as $M_{n}/M_{p} = 1.05\, \pm0.11\, \mathrm{(fit)}\, \pm0.17\, \mathrm{(sys)}$, which indicates that the quadrupole transition between the ground state and the $2_{1}^{+}$ state in $^{10}$C is less neutron dominant compared to that in $^{16}$C.
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