Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2004-09-20
Phys.Lett. B607 (2005) 254-258
Physics
Nuclear Physics
Nuclear Theory
4 pages, 1 ps figure, references updated
Scientific paper
10.1016/j.physletb.2004.12.068
We consider the correlation between the binding energies of the triton and the alpha-particle which is empirically observed in calculations employing different phenomenological nucleon-nucleon interactions. Using an effective quantum mechanics approach for short-range interactions with large scattering length |a| >> l, where l is the natural low-energy length scale, we construct the effective interaction potential at leading order in l/|a|. In order to renormalize the four-nucleon system, it is sufficient to include a SU(4)-symmetric one-parameter three-nucleon interaction in addition to the S-wave nucleon-nucleon interactions. The absence of a four-nucleon force at this order explains the empirically observed correlation between the binding energies of the triton and the alpha-particle. We calculate this correlation and obtain a prediction for the alpha-particle binding energy. Corrections to our results are suppressed by l/|a|.
Hammer Hans-Werner
Meißner Ulf-G.
Platter Lucas
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