标题： “重整化还是不重整化？” 在质子- deuteron 散射计算中 显示英文标题

标题： "To renormalize or not to renormalize ?'' in the proton-deuteron scattering calculations

摘要： 我们讨论了两种方法，它们通过应用筛选法，允许将长程质子-质子（pp）库仑力纳入质子-氘核动量空间散射计算中。第一种方法基于Alt-Grassberger-Sandhas（AGS）方程，在《Phys. Rev. C》{\bf{71}}, 054005 (2005)和{\bf{73}}, 057001 (2006)中有所展示，这种方法需要在计算可观测量之前对弹性散射振幅进行重整化。第二种处理方法由我们在《Eur. Phys. Jour. A》{\bf{41}}, 369 (2009)，{\bf{41}}, 385 (2009)以及arXiv:2310.03433 [nucl.th]中提出，避免了这种重整化。对于由质子诱导的氘核破裂反应，这两种方法都需要对相应的跃迁振幅进行重整化。我们在假设所有贡献的部分波状态都被包括的情况下推导了这两种方法的基本方程，并解释了为何在我们的方法中弹性散射振幅的重整化是多余的。我们表明，为了在筛选极限下考虑所有部分波，需要在跃迁振幅中加入四个额外项，这些项基于三维和部分波投影的pp库仑t矩阵，且这两者的方法中这些项是相同的。我们研究了这些项在破裂阈值以下的弹性pd散射中的重要性。 显示英文摘要

摘要： We discuss two approaches which, by applying the screening method, permit one to include the long range proton-proton (pp) Coulomb force in proton-deuteron (pd) momentum-space scattering calculations. In the first one, based on Alt-Grassberger-Sandhas (AGS) equation, presented in Phys. Rev. C{\bf{71}}, 054005 (2005) and {\bf{73}}, 057001 (2006), one needs to renormalize elastic scattering amplitude before calculating observables. In the second treatment, proposed by us in Eur. Phys. Journal A {\bf{41}}, 369 (2009), {\bf{41}}, 385 (2009), and arXiv:2310.03433 [nucl.th], this renormalization is avoided. For the proton induced deuteron breakup reaction both approaches require renormalization of the corresponding transition amplitudes. We derive the basic equations underlying both methods under the assumption that all contributing partial wave states are included and explain why in our approach renormalization of the elastic scattering amplitude is superfluous. We show that in order to take into account in the screening limit all partial waves it is required that four additional terms, based on the 3-dimensional and partial-wave projected pp Coulomb t-matrices, identical for both approaches, must appear in transition amplitudes. We investigate importance of these terms for elastic pd scattering below the breakup threshold.