认真对待二重子场
Taking dibaryon fields seriously
摘要：
我们提出了一个关于$N_B=2$扇区的低能有效场论，其中$N_B$是重子数，除了核子和π介子外，还包含两个重子场。它具有良好的计数性，可重整化，核子-核子散射振幅在首阶明显幺正。对于能量远低于π介子质量、动量与π介子质量相当的核子，我们给出了一个低能有效理论，该理论也有明确的计数，并且是可重整化的。在这个理论中，二重子场也必须保持为明确的自由度。我们计算的散射振幅在下一个领先的顺序为$^1S_0$和$^3S_1$通道在这个框架中，并获得一个很好的描述的质量质心在$0-50 MeV$范围内的相移。
英文摘要：
We propose a low energy effective field theory of QCD at the scale of pion mass for the $N_B=2$ sector, $N_B$ being the baryon number, which contains two dibaryon fields in addition to the nucleons and pions. It has a well defined counting, is renormalizable and the nucleon-nucleon scattering amplitudes are manifestly unitary at leading order. We work out a lower energy effective theory for nucleons with energy much lower than the pion mass and three momentum comparable to it, which also has a well defined counting and is renormalizable. The dibaryon fields must also be kept as explicit degrees of freedom in this theory. We calculate the scattering amplitudes at next-to-leading order for the $^1S_0$ and $^3S_1$ channels in this framework and obtain an excellent description of the phase shifts for center of mass energies in the $0-50 MeV$ range.
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