基于实际NN相互作用的光学模型势的不可约非定域性
Irreducible nonlocality of optical model potentials based on realistic NN interactions
摘要：
基于微观方法研究了核子-核散射光学模型势的非定域结构。为此，\emph{in-medium}折叠光学势计算动量空间和相应的坐标空间对应的检查，特别注意它们的非局部形状。在Brueckner-Hartree-Fock近似下，核子-核子有效相互作用由实际的全离壳层$g$矩阵构成。有效相互作用的非定域性在计算的所有阶段都得到了保持。采用Argonne $v_{18}$裸势和手征次-主导级裸相互作用作为出发点。研究的重点是质子弹性散射关闭$^{40}$钙在30和800兆电子伏之间的束能量。我们发现，光学势的高动量贡献的逐渐抑制的结果在相当不同的外观坐标空间对应。尽管在其非局部结构的非唯一性，隐含的散射观测值保持不变的动量截止以上的临界，这取决于入射能量的弹丸。我们发现，坐标空间潜力与动量截止在临界值产生最少的结构非局部行为。这些研究结果的影响进行了讨论。
英文摘要：
We investigate the nonlocal structure of optical model potentials for nucleon-nucleus scattering based on microscopic approaches. To this purpose, \emph{in-medium} folding optical potentials are calculated in momentum space and their corresponding coordinate-space counterpart are examined, paying special attention to their nonlocal shape. The nucleon-nucleon effective interaction consists of the actual full off-shell $g$ matrix in Brueckner-Hartree-Fock approximation. The nonlocality of effective interactions is preserved throughout all stages in the the calculation. Argonne $v_{18}$ bare potential and chiral next-to-next-to-next-to-leading order bare interaction are used as starting point. The study is focused on proton elastic scattering off $^{40}$Ca at beam energies between 30 and 800 MeV. We find that the gradual suppression of high-momentum contributions of the optical potential results in quite different-looking coordinate-space counterparts. Despite this non-uniqueness in their nonlocal structure, the implied scattering observables remain unchanged for momentum cutoff above a critical one, which depends on incident energy of the projectile. We find that coordinate-space potentials with momentum cutoffs at the critical value yield the least structured nonlocal behavior. Implications of these findings are discussed.
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