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HK: Fachverband Hadronen und Kerne

HK 37: Nuclear Structure and Dynamics II

HK 37.7: Talk

Tuesday, March 17, 2009, 18:30–18:45, H-ZO 50

Are spectroscopic factors in mirror states the same? — •Natalia Timofeyuk — Department of Physics University of Surrey Guildford Surrey GU2 7XH United Kingdom

The spectroscopic factors for a specific class of mirror pairs, where the proton-rich partner has one-proton decay threshold just below the two-proton decay threshold and both are lower than in usual nuclei, have been studied within a three-body model core+N+N. The choice of this model is justified by strong NN correlations between the two valence protons. It has been found that, because the core+p binding energy is small, the geometrical mismatch between the core+p two-body wave function, stretched towards the classically forbidden region, and the spatially confined three-body functions of the core+p+p reduces the norm of the <core+p|core+p+p> overlap. For mirror overlap <core+n|core+n+n>, this mismatch is much weaker. As a result, the spectroscopic factors in mirror core+p+p and core+n+n system may differ. For example, the spectroscopic factors in the mirror pair 9C-9Li this difference can reach 7%. For another mirror pair, 18Ne-18O, appart from this mismatch, the situation is complicated by different mixing between the configurations with different proton orbital momentum, l=0 and l=2. The resulting mirror symmetry breaking in large component is about 2-5% but can reach 25% in the small 1s component of the 0+ ground state in 18O-18Ne. Understanding mirror symmetry in spectroscopic factors is important for predicting astrophysically revelant cross sections using available information about mirror analogs.