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Interaction cross sections and matter radii of oxygen isotopes using the Glauber model

机译:使用Glauber模型的氧同位素的相互作用横截面和物质半径

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Using the Coulomb modified correlation expansion for the Glauber model S matrix, we calculate the interaction cross sections of oxygen isotopes (O16-26) on C-12 at 1.0 GeV/nucleon. The densities of O16-26 are obtained using (i) the Slater determinants consisting of the harmonic oscillator single-particlewave functions (SDHO) and (ii) the relativistic mean-field approach (RMF). Retaining up to the two-body density term in the correlation expansion, the calculations are performed employing the free as well as the in-medium nucleon-nucleon (NN) scattering amplitude. The in-medium NN amplitude considers the effects arising due to phase variation, higher momentum transfer components, and Pauli blocking. Our main focus in this work is to reveal how could one make the best use of SDHO densities with reference to the RMF one. The results demonstrate that the SDHO densities, along with the in-medium NN amplitude, are able to provide satisfactory explanation of the experimental data. It is found that, except for O-23,O-24, the predicted SDHO matter rms radii of oxygen isotopes closely agree with those obtained using the RMF densities. However, for O-23,O-24, our results require reasonably larger SDHO matter rms radii than the RMF values, thereby predicting thicker neutron skins in O-23 and O-24 as compared to RMF ones. In conclusion, the results of the present analysis establish the utility of SDHO densities in predicting fairly reliable estimates of the matter rms radii of neutron-rich nuclei.
机译:使用对Glauber模型S矩阵的Coulomb改性相关扩展,我们在1.0 gev / nucleon的C-12上计算氧同位素(O16-26)的相互作用横截面。使用(i)由谐波振荡器单粒子波(SDHO)和(ii)组成的次谐型平均场方法(RMF)组成的层次测定剂来获得O16-26的密度。在相关膨胀中保持对双体密度术语,使用自由和中核核心(NN)散射幅度进行计算。中载NN幅度认为由于相变,较高的动量转移部件和Pauli阻塞而产生的效果。我们在这项工作中的主要重点是揭示如何在RMF中获得最佳使用SDHO密度。结果表明,SDHO密度以及中载NN振幅能够提供对实验数据的令人满意的解释。发现,除了O-23,O-24之外,氧同位素的预测的SDHO物质RMS半径与使用RMF密度获得的那些相当。然而,对于O-23,O-24,我们的结果需要比RMF值相当较大的SDHO物质RMS半径,从而与RMF载体预测O-23和O-24中的较厚中子皮。总之,本分析结果建立了SDHO密度的效用,以预测富含中子核的物质RMS半径的相当可靠的估计。

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