$nd$ scattering lengths from a quark-model based $NN$ interaction

Details $nd$ scattering lengths from a quark-model based $NN$ interaction $nd$ scattering lengths from a quark-model based $NN$ interaction

2007-11-20

arxiv.org/abs/0711.3123v1

Phys.Rev.C76:057002,2007

Physics

Nuclear Physics

Nuclear Theory

6 pages, 2 tables. Accepted for publication in Physical Review C

Scientific paper

10.1103/PhysRevC.76.057002

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 $NN$ $^1S_0$ and $^3S_1$-${}^3 D_1$ 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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