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arXiv 1010.0874nucl-th
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通过双中子转移反应探测对相互作用

Probing the pairing interaction through two-neutron transfer reactions

E. Pllumbi, M. Grasso, D. Beaumel, E. Khan, J. Margueron, J. van de Wiele

摘要:

在一步零程扭曲波玻恩近似下,计算了($p,t$)双中子转移反应的截面,其中锡同位素为$^{124}$ Sn和$^{136}$ Sn,入射质子能量为15 ~ 35 MeV.微观准粒子无规相位近似形状因子的反应计算和唯象光学势中使用的入口和出口通道。三种不同的表面/体积混合的零程密度依赖的配对相互作用的微观计算和截面的灵敏度进行了分析。由于绝对截面不能在我们的模型中获得,我们比较的衍射最小值的位置和角分布的形状。在反应$^{124}$ Sn($p,t$)$^{122}$ Sn的衍射最小值的位置中没有发现差异。另一方面,对于具有表面和混合相互作用的反应$^{136}$ Sn($p,t$)$^{134}$ Sn,对于入射质子能量的某些值,获得的角分布在大角度处不同。对于这个反应,我们比较了与基态和第一激发态跃迁相关的截面的比值。三种不同的理论预测之间的差异被发现,他们是更重要的入射质子能量为15 MeV。作为一个结论,我们表明($p,t$)两个中子转移反应,非常富含中子的Sn同位素和质子能量约15兆电子伏作为良好的实验情况下,表面/体积混合的配对相互作用可以探测。

英文摘要:

Cross sections for ($p,t$) two-neutron transfer reactions are calculated in the one-step zero-range distorted-wave Born approximation for the tin isotopes $^{124}$Sn and $^{136}$Sn and for incident proton energies from 15 to 35 MeV. Microscopic quasiparticle random-phase approximation form factors are provided for the reaction calculation and phenomenological optical potentials are used in both the entrance and the exit channels. Three different surface/volume mixings of a zero-range density-dependent pairing interaction are employed in the microscopic calculations and the sensitivity of the cross sections to the different mixings is analyzed. Since absolute cross sections cannot be obtained within our model, we compare the positions of the diffraction minima and the shapes of the angular distributions. No differences are found in the position of the diffraction minima for the reaction $^{124}$Sn($p,t$)$^{122}$Sn. On the other side, the angular distributions obtained for the reaction $^{136}$Sn($p,t$)$^{134}$Sn with surface and mixed interactions differ at large angles for some values of the incident proton energy. For this reaction, we compare the ratios of the cross sections associated to the ground state and the first excited state transitions. Differences among the three different theoretical predictions are found and they are more important at the incident proton energy of 15 MeV. As a conclusion, we indicate ($p,t$) two-neutron transfer reactions with very neutron-rich Sn isotopes and at proton energies around 15 MeV as good experimental cases where the surface/volume mixing of the pairing interaction may be probed.

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