Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2011-12-12
Physics
Nuclear Physics
Nuclear Theory
17 pages, 14 figures, 1 table
Scientific paper
Contributions of perturbative pions around a non-trivial fixed point are studied by utilizing di-baryon fields. We calculate ${}^1S_0$ and ${}^3S_1$ phase shifts for the $np$ scattering at low energies up to one-pion-exchange contributions. We also calculate effective range parameters, $v_2$, $v_3$ and $v_4$ in the higher order of the effective range expansion, and obtain corrections of the effective range to the expressions previously reported by Cohen and Hansen. After the scattering length and the effective range are renormalized, we study the role of renormailzation scale parameter $\mu$ and discuss the range of validity of the theory.
Ando Shung-ichi
Hyun Chang Ho
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