Bonn 2010 – scientific programme
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HK: Fachverband Physik der Hadronen und Kerne
HK 20: Struktur und Dynamik von Kernen IV
HK 20.5: Talk
Tuesday, March 16, 2010, 15:15–15:30, HG VII
Modified effective range expansion for nucleon-nucleon scattering — •David Minossi1,2, Evgeny Epelbaum1,2, Manolo Pavon Valderrama1, and Andreas Nogga1 — 1Institut für Kernphysik and Jülich Center for Hadron Physics, Forschungszentrum Jülich, DE-52425, Jülich, Germany — 2Helmholtz-Institut für Strahlen- und Kernphysik, DE-53115, Bonn, Germany
The technique of the effective range expansion is commonly used in nucleon-nucleon scattering to encode the properties of the nuclear force in a small set of parameters. However, the applicability of the effective range expansion is limited by the longest-range part of the nuclear potential, i.e. by the one pion exchange, to the domain of momenta below half the pion mass. In the 1960s the formalism of the modified effective range expansion was developed. It was first used to remove the effects of the Coulomb force to study proton-proton scattering. We apply this formulation to the nucleon-nucleon interaction to separate the known long-range interactions from the rest to be able to go beyond the momentum region described above. To show the effectiveness of this technique, we consider a toy model with a two-range potential and study the behaviour of the parameters of the effective and modified effective range expansion in this two-scale problem.