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arXiv · 1112.4426

On the quark mass dependence of nucleon-nucleon S-wave scattering lengths

Joan Soto·Jaume Tarrús
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Abstract

In the framework of a Chiral effective theory with dibaryon fields, we calculate the pion mass dependence of the inverse scattering length of the nucleon-nucleon system in the $^3S_1$ channel at order ${(m_\pi^3 / \Lambda_\chi^2)}\times (m_\pi^{1/2}m_N^{3/2}/8\pi f_\pi^2)^n$ for all $n\ge 0$. We show that certain sets of potentially large higher order contributions vanish. We discuss the difficulties of extending the proof to the $^1S_0$ channel. We apply our results to chiral extrapolations of current lattice data.

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Joan Soto, Jaume Tarrús. 2011-12-19. On the quark mass dependence of nucleon-nucleon S-wave scattering lengths. https://doi.org/10.1103/physrevc.85.044001

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