A description of the yrast states in 24-Mg by the self-consistent 3D-cranking model

With the self-consistent 3D-cranking model, the ground-state rotational band in 24-Mg is analysed. A role of triaxial deformation is discussed, in particular, in a description of the observed two I=8+ states.Comment: 4 pages; 3 figures; accepted in PR

A self-consistent quantal description of high-K states in the tilted-axis cranking model

A self-consistent and quantal description of high-$K$ bands is given in the framework of the tilted-axis cranking model. (With a $\theta=90^{\circ}$ tilt angle with respect to $x$-axis, this cranking model is equivalent to the $z$-axis cranking.) The numerical results of the HFB calculations in this framework are compared with experimental data for two quasi-particle excited bands with $K^{\pi}=6^+$ in $^{178}$W.Comment: 13 pages, including 5 figures and 1 tabl

Isometries on Banach algebras of vector-valued maps

We propose a unified approach to the study of isometries on algebras of vector-valued Lipschitz maps and those of continuously differentiable maps by means of the notion of admissible quadruples. We describe isometries on function spaces of some admissible quadruples that take values in unital commutative $C^*$-algebras. As a consequence we confirm the statement of \cite[Example 8]{jp} on Lipschitz algebras and show that isometries on such algebras indeed take the canonical form.Comment: 35 page