ndnd scattering lengths from a quark-model based NNNN interaction

preprint2007arXivOpen access

Abstract

We calculate the doublet and quartet neutron-deuteron scattering lengths using a nonlocal nucleon-nucleon interaction fully derived from quark-quark interactions. We use as input the NNNN 1S0^1S_0 and 3S1^3S_1-3D1{}^3 D_1 partial waves. Our result for the quartet scattering length agrees well with the experimental value while the result for the doublet scattering length does not. However, if we take the result for the doublet scattering length together with the one for the triton binding energy they agree well with the so-called Phillips line.

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