Breakdown of \u3cem\u3eK\u3c/em\u3e Selection in \u3csup\u3e178\u3c/sup\u3eHf

Coulomb activation of the four quasiparticle Kπ = 16+ 178Hf isomer (t 1/2 = 31 y) has led to the measurement of a set of Eλ matrix elements coupling the isomer band to the ground band. The present data combined with earlier 178Hf Coulomb excitation data have probed the K components in the wave functions and revealed the onset and saturation of K mixing in low-K bands, whereas the mixing is negligible in the high-K bands. The implications can be applied to other quadrupole-deformed nuclei

Spin Dependence of \u3cem\u3eK\u3c/em\u3e Mixing, Strong Configuration Mixing, and Electromagnetic Properties of \u3csup\u3e178\u3c/sup\u3eHf

The combined data of two Coulomb excitation experiments has verified the purely electromagnetic population of the Kπ = 4+, 6+, 8−, and 16+rotational bands in 178Hf via 2≤ν ≤14 K-forbidden transitions, quantifying the breakdown of the K-selection rule with increasing spin in the low-K bands. The γ -, 4+, and 6+bands were extended, and four new states in a rotational band were tentatively assigned to a previously known Kπ = 0+band. The quasiparticle structure of the 6+(t1/2= 77 ns) and 8−(t1/2= 4 s) isomer bands were evaluated, showing that the gyromagnetic ratios of the 6+ isomer band are consistent with a pure π 7/2+[404], π 5/2+[402] structure. The 8−isomer band at 1147 keV and the second 8−band at 1479 keV, thought to be predominantly ν 7/2-[514], ν 9/2+[624] and π 9/2-[514], π 7/2+[404], respectively, are mixed to a degree approaching the strongmixing limit. Based on measured (Kπ = 16+‖E2‖Kπ = 0+) matrix elements, it was shown that heavy-ion bombardment could depopulate the 16+isomer at the ∼1% level, although no states were found that would mediate photodeexcitation of the isomer via low-energy x-ray absorption

Bounded Model Checking for Parametric Timed Automata

Abstract. The paper shows how bounded model checking can be ap-plied to parameter synthesis for parametric timed automata with con-tinuous time. While it is known that the general problem is undecidable even for reachability, we show how to synthesize a part of the set of all the parameter valuations under which the given property holds in a model. The results form a complete theory which can be easily applied to parametric verification of a wide range of temporal formulae – we present such an implementation for the existential part of CTL −X. 1 Introduction and related work The growing abundance of complex systems in real world, and their presence in critical areas fuels the research in formal specification and analysis. One of the established methods in systems verification is model checking, where the system is abstracted into the algebraic model (e.g. various versions of Kripke structures