arXiv 1807.078772018-07nucl-th

核主导反应中单中子晕核弹性散射和分裂程函描述的低能修正

Low-energy corrections to the eikonal description of elastic scattering and breakup of one-neutron halo nuclei in nuclear-dominated reactions

Chloë Hebborn, Pierre Capel

备注：: 7 pages, 4 figures, accepted for publication in Phys. Rev. C
发表信息：: Phys. Rev. C 98, 044610 (2018)
DOI：: 10.1103/PhysRevC.98.044610

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摘要：

背景资料：程函近似是一种计算效率非常高的高能反应模型，并提供了对碰撞的简单解释。不幸的是，它在10 MeV/核子附近的能量，在CERN的HIE-ISOLDE和MSU未来的ReA 12的能量范围内是无效的。福井等[Phys.Rev.C90，034617（2014）]已经表明，对射弹-靶偏转的简单半经典校正可以将重靶上的晕核分裂的描述改进到20 MeV/核子。目的：我们研究了两个类似的修正，旨在改善程函近似下的弹靶相对运动，目标是将其有效范围扩展到10 MeV/核子的核主导碰撞，即轻目标。半经典修正用经典弹道的最近接近距离代替碰撞参量。精确的连续$S$矩阵校正用精确的相移代替程函相位。这两种修正都成功地描述了单中子晕核的弹性散射。方法：我们扩展了这些修正，并研究了它们在描述破碎通道中的效率。我们在$^{11}\mathrm{Be}$以20和10 MeV/核子撞击$^{12}\mathrm{C}$的情况下对它们进行了评价。结果如下：虽然有效地再现弹性通道，这些修正没有改善的程函近似内的晕核分裂的描述下降到20 MeV/核子。结论：我们对这些修正的分析表明，改善弹靶相对运动并不是将程函近似推广到低能的最终答案。我们建议另一种途径来实现这一目标。

英文摘要：

Background: The eikonal approximation is a high-energy reaction model which is very computationally efficient and provides a simple interpretation of the collision. Unfortunately, it is not valid at energies around 10 MeV/nucleon, the range of energy of HIE-ISOLDE at CERN and the future ReA12 at MSU. Fukui etal. [Phys. Rev. C 90, 034617 (2014)] have shown that a simple semiclassical correction of the projectile-target deflection could improve the description of breakup of halo nuclei on heavy targets down to 20 MeV/nucleon. Purpose: We study two similar corrections, which aim at improving the projectile-target relative motion within the eikonal approximation, with the goal to extend its range of validity down to 10 MeV/nucleon in nuclear-dominated collisions, viz. on light targets. The semiclassical correction substitutes the impact parameter by the distance of closest approach of the corresponding classical trajectory. The exact continued $S$-matrix correction replaces the eikonal phase by the exact phase shift. Both corrections successfully describe the elastic scattering of one-neutron halo nuclei. Method: We extend these corrections and study their efficiency in describing the breakup channel. We evaluate them in the case of $^{11}\mathrm{Be}$ impinging on $^{12}\mathrm{C}$ at 20 and 10 MeV/nucleon. Results: Albeit efficient to reproduce the elastic channel, these corrections do not improve the description of the breakup of halo nuclei within the eikonal approximation down to 20 MeV/nucleon. Conclusions: Our analysis of these corrections shows that improving the projectile-target relative motion is not the ultimate answer to extend the eikonal approximation down to low energies. We suggest another avenue to reach this goal.

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