arXiv 2601.005342026-01nucl-th

相对论与非相对论Faddeev计算在质子-氘核弹性散射中的比较

Comparison of Relativistic and Non-relativistic Faddeev calculations for Proton-Deuteron Elastic Scattering

Research Center for Nuclear Physics, Osaka University（大阪大学核物理研究中心）；Department of Physics, Kyushu Institute of Technology（九州工业大学物理系）

H. Kamada, A. Arslanaliev, Y. Kostylenko, A. V. Shebeko, J. Golak, R. Skibiński, K. Topolnicki, V. Chahar, D. F. Ramírez Jiménez, H. Witała, W. N. Polyzou

备注：: 8 pages, 11 figures
发表信息：: Physical Review C 113, 024001 (2026)
DOI：: 10.1103/cjf3-hk9v

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AI总结：

本研究比较了相对论与非相对论Faddeev方法在质子-氘核弹性散射中的应用，发现相对论效应在高能区显著，但非相对论方法在低能区仍可靠。

摘要：

本研究比较了非相对论和相对论的核子-核子（NN）势在pd散射中的应用。传统NN势（例如CDBonn、AV18）依赖于非相对论的薛定谔方程，而Kharkiv势本质上是相对论性的。我们采用Coester-Pieper-Serduke（CPS）和Kamada-Glöckle（KG）转换方法，从真实的NN势构造一个伪相对论势（PRP），以保持氘核的结合能和相移。使用相对论Faddeev方程计算微分散射截面表明，在135 MeV时相对论效应，特别是反向角的偏差变得显著。正向角的差异归因于Kharkiv势本身的特性。Kharkiv势向伪非相对论势（PNRP）的反向转换证实，在100 MeV到400 MeV的范围内，反向角的相对论效应随能量增加而增加。极化观测值的比较表明，相对论效应以及CPS和KG转换之间的差异在300 MeV以上变得显著。然而，使用PRP的非相对论计算在300 MeV以下对极化观测值仍然总体可靠。

英文摘要：

This investigation compares non-relativistic and relativistic nucleon-nucleon potentials in the context of proton-deuteron scattering. Conventional NN potentials (e.g., CDBonn, AV18, Nijmegen) rely on the nonrelativistic Schroedinger equation, whereas the Kharkiv potential is intrinsically relativistic. We employ the Coester-Pieper-Serduke (CPS) and Kamada-Gloeckle (KG) conversion methods to construct a phenomenological-relativistic potential (PRP) from a realistic NN potential, preserving the deuteron binding energy and phase shifts. Focusing on relativistic effects and not including Coulomb forces to avoid complexity, the solutions are compared by solving relativistic and nonrelativistic Faddeev equations. Calculations of the differential cross section using the relativistic Faddeev equation show that relativistic effects - particularly the deviation at the backward angle - become pronounced at 135 MeV. The differences in the forward angle were attributed to the characteristics of the Kharkiv potential itself. The reverse transformation of the Kharkiv potential into a pseudo-nonrelativistic potential (PNRP) confirms that the backward-angle relativistic effect increases with energy in the range from 100 MeV to 400 MeV. Comparisons of the polarization observables indicate that relativistic effects, as well as the discrepancy between the CPS and KG transformations, become significant above 300 MeV. However, for polarization observations below 300 MeV, the nonrelativistic results from PNRP do not deviate significantly from relativistic calculations.

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