零能中子-Triton和质子-He-3与\eftnopi的散射
Zero-energy neutron-triton and proton-Helium-3 scattering with \eftnopi
摘要：
利用无π介子的有效场论导出的首阶相互作用，计算了中子-triton和质子-He-3散射长度的模型无关约束.使用单重态中子-质子散射长度，氘核，和triton结合能作为输入，预测$\ants=9.2\pm2.6 $ fm，$\antt=7.6\pm1.6 $ fm，$\aphes=3.6\pm0.32 $ fm，和$\aphet=3.1\pm 0.23 $ fm。计算采用共振群方法，并在适当时包括库仑相互作用。理论上的不确定性进行评估，通过从$400 $ MeV到$1.6 $ GeV的短程相互作用的调节器参数的变化。质子-氦-3系统的相移和散射长度结果与最近的相移分析和模型计算一致。对于中子-Triton，在单重态和三重态通道的散射长度的结果是显着小于建议的R矩阵和分波分析提取数据。为了更好地理解这种差异，计算了低能四体散射系统对中子-中子和质子-质子两核子散射长度变化的敏感性。诱导强电荷对称性破缺接触相互作用，这种依赖性被发现微不足道。与此相反，中子-triton散射长度和triton结合能之间的强相关性类似的菲利普斯线被发现。
英文摘要：
Model-independent constraints for the neutron-triton and proton-Helium-3 scattering lengths are calculated with a leading-order interaction derived from an effective field theory without explicit pions. Using the singlet neutron-proton scattering length, the deuteron, and the triton binding energy as input, the predictions $\ants=9.2\pm2.6 $fm, $\antt=7.6\pm1.6 $fm, $\aphes=3.6\pm0.32 $fm, and $\aphet=3.1\pm 0.23 $fm are obtained. The calculations employ the resonating group method and include the Coulomb interaction when appropriate. The theoretical uncertainty is assessed via a variation of the regulator parameter of the short-distance interaction from $400 $MeV to $1.6 $GeV. The phase-shift and scattering-length results for the proton-Helium-3 system are consistent with a recent phase shift analysis and with model calculations. For neutron-triton, the results for the scattering lengths in both singlet and triplet channels are significantly smaller than suggested by R-matrix and partial-wave-analysis extractions from data. For a better understanding of this discrepancy, the sensitivity of the low-energy four-body scattering system to variations in the neutron-neutron and proton-proton two-nucleon scattering lengths is calculated. Induced by strong charge-symmetry-breaking contact interactions, this dependence is found insignificant. In contrast, a strong correlation between the neutron-triton scattering length and the triton binding energy analogous to the Phillips line is found.
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