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Abstract

Increasingly more intense beams of radioactive isotopes allow moving into unknown areas of the nuclear chart and exploring the limits in nuclear binding and proton-to-neutron ratio. New aspects of nuclear structure and important results for nuclear astrophysics are obtained. The paper provides some overview of experimental developments, facilities and research results; and is intended to set the stage for the many exciting examples of research presented in these proceedings.

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“…1. It is encouraging to see that the latter value agrees well with the central value of empirical impurity deduced from the giant dipole resonance γ-decay studies, as communicated during this meeting by Camera et al [26]. Unfortunately, experimental error bars are too large to discriminate between various Skyrme parametrizations, which differ in predicted values of α C by as much as ∼ 10%.…”

Microscopic calculations of isospin mixing inN≈Znuclei and isospin-symmetry-breaking corrections to the superallowed β-decay

“…At present, the SV interaction augmented by a tensor term is essentially the only available Skyrme interaction originating from the true Hamiltonian which can be safely used in connection with the angular momentum projection without any further regularization [25]. It is worth mentioning here that the isospin impurities calculated using modern Skyrme forces in the isospin-projected variant of our model [10,12] are consistent with the recent data extracted from the Giant Dipole Resonance decay studies in 80 Zr [26] and the isospinforbidden E1 decay in 64 Ge [27]. This indicates that our model is in principle capable of quantitatively capturing the amount of isospin mixing that is important in the context of making reliable calculations of δ C in spite of the fact that δ C is mostly sensitive to the difference between the isospin impurities of parent and daughter nuclei [28,29].…”

Isospin Mixing Within the Symmetry Restored Density Functional Theory and Beyond

“…The isospin impurities can be studied using the isospin-only-projected variant of the approach, which is free from singularities [7,8,9] plaguing angular-momentum or particle-number projections [15,16,17,18,19]. The calculated impurities are consistent with the recent data extracted from the giant-dipole-resonance decay studies in 80 Zr [20] and isospin-forbidden E1 decay in 64 Ge [21]. Both data points disagree with the standard mean-field (MF) results, which are lower by almost 30% due to spurious contaminations.…”

“…The numerical stability of the method is, however, affected by truncation errors. Namely, the numerically unstable (20) solutions are removed the model space by truncating either the high-energy states {Ψ (α) I } or the natural states corresponding to small eigenvalues of the norm matrix, or by applying both truncations simultaneously. This procedure is not fully satisfactory, but it is relatively reliable for energy values.…”