arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0909.5606nucl-th
收藏

无π介子EFT与共振群模型的普适关联:三、四、六核子

Universal Correlations in Pion-less EFT with the Resonating Group Model: Three, Four, and Six Nucleons

Johannes Kirscher, Harald W. Grießhammer, Deepshikha Shukla, Hartmut M. Hofmann

摘要:

QCD与核的少体和多体性质之间的系统联系以“无π介子”的有效场论的形式应用于$A\le 6$核,以确定其适用范围。我们目前的结果在次领先的Tjon相关性和单重S波$^3$ He-中子散射长度和triton结合能之间的相关性。在A=6扇区,我们对晕核$^6$ He的结合能、电荷半径和物质半径进行了主级计算.同样在首阶,S波4-He-中子的二重态相移与R-矩阵数据进行了比较。这些分析提供了足够快的有效场论的收敛的证据,特别是,我们的结果在$A\le 4$预测的膨胀参数约为1/3,他们收敛到预测的不确定性带内的数据在这个顺序。一个适当调整的三体接触力,我们包括在所有的计算中的库仑相互作用一起被发现正确地重整化的无π介子理论在领导和下一个领导秩序,即功率计数不需要四体力在各自的顺序。

英文摘要:

A systematic connection between QCD and nuclear few- and many-body properties in the form of the Effective Field Theory "without pions" is applied to $A\le 6$ nuclei to determine its range of applicability. We present results at next-to-leading order for the Tjon correlation and for a correlation between the singlet S-wave $^3$He-neutron scattering length and the triton binding energy. In the A=6 sector we performed leading order calculations for the binding energy and the charge and matter radii of the halo nucleus $^6$He. Also at leading order, the doublet S-wave 4-He-neutron phase shifts are compared with R-matrix data. These analysis provide evidence for a sufficiently fast convergence of the effective field theory, in particular, our results in $A\le 4$ predict an expansion parameter of about 1/3, and they converge to data within the predicted uncertainty band at this order. A properly adjusted three-body contact force which we include together with the Coulomb interaction in all calculations is found to correctly renormalize the pion-less theory at leading- and next-to-leading order, i.e. the power counting does not require four-body forces at the respective order.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑