Darmstadt 2016 – scientific programme

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HK: Fachverband Physik der Hadronen und Kerne

HK 42: Structure and Dynamics of Nuclei IX

HK 42.4: Talk

Wednesday, March 16, 2016, 17:15–17:30, S1/01 A03

Non-perturbative renormalization of the two-dipole system — •Maximilian Jansen and Hans-Werner Hammer — Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany

The dipole-dipole interaction is an example for an anisotropic and singular potential. Its similarity to the one pion exchange potential in the chiral limit establishes an interesting tie between nuclear and atomic physics. Of particular interest is its tunability, employing electric or magnetic fields in table-top experiments. We investigate a system of two oriented, bosonic dipoles by solving the Lippmann-Schwinger equation numerically. We treat ultraviolet divergences utilizing a cutoff regularization prescription. Cutoff dependence has to be removed subsequently in the procedure of renormalization. We show that in order to do so, anisotropic operators are required besides an isotropic, short-range s-wave interaction. We propose operators for which cutoff independence is obtained in the limit of an infinite ultraviolet cutoff and present our results for the binding energy. Possible consequences for the renormalization of nuclear forces are commented on.