Dresden 2013 – scientific programme

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HK: Fachverband Physik der Hadronen und Kerne

HK 76: Struktur und Dynamik von Kernen

HK 76.6: Talk

Thursday, March 7, 2013, 18:15–18:30, HSZ-301

Random-phase approximation with chiral two- plus three-body interactions — •Richard Trippel and Robert Roth — Institut für Kernphysik, Technische Universität Darmstadt

The random-phase approximation (RPA) is a standard tool for the description of collective excitations in nuclei. We derive the equations for the RPA for full three-body (3B) interactions within the framework of the quasi-boson approximation. The RPA is then applied to a number of doubly magic nuclei (¹⁶O, ⁴⁰Ca, ⁴⁸Ca, ⁵⁶Ni and ⁹⁰Zr).

For the calculations we use two- plus three-body interactions derived from chiral effective field theory with different momentum cutoffs, which are the same as in few-body calculations. These bare interactions are then transformed by means of the similarity renormalization group (SRG) to improve convergence. We perform the calculations for pure two-body (2B) potentials as well as SRG-induced and initial 3B forces. We investigate the convergence properties of the Hartree-Fock and RPA results with respect to the basis size. From the solution of the RPA problem we compute the isoscalar monopole, the isovector and isoscalar dipole as well as the isocalar quadrupole transition strengths. We compare the different potentials with each other and with experimental values and examine the impact of 3B interactions.

Supported by DFG (SFB 634), HIC for FAIR and BMBF (06DA7047I).