In heavy ion collisions at Coulomb barrier energies the two collision partners can be brought into nuclear contact. During their closest approach the two nuclei form a dinuclear system (nuclear molecule) which is seen by the electrons as a common charge centre. The lifetime of the di-nuclear system (nuclear contact time) is correlated with the energy dissipation during the collision. While the ...

We study properties of the semilinear elliptic equation ∆u = 1 u on domains in R, with an eye toward nonnegative singular solutions as limits of positive smooth solutions. We prove the nonexistence of such solutions in low dimensions when we also require them to be stable for the corresponding variational problem. The problem of finding singular solutions is related to the general study of sing...

Assume that Ω is a bounded domain in Rn with n ≥ 2. We study positive solutions to the problem, ∆u = up in Ω, u(x)→∞ as x→ ∂Ω, where p > 1. Such solutions are called boundary blow-up solutions of ∆u = up. We show that a boundary blow-up solution exists in any bounded domain if 1 < p < n n−2 . In particular, when n = 2, there exists a boundary blow-up solution to ∆u = up for all p ∈ (1,∞). We al...

Consider a cubic unit u of positive discriminant. We present a computational proof of the fact that u is a fundamental unit of the order Z[u] in most cases and determine the exceptions. This extends a similar (but restrictive) result due to E. Thomas. Introduction Let f(X) := X + aX + bX ± 1 ∈ Z[X] be irreducible in Z[X] and with three (distinct) real roots. We think of the order R := Z[u], obt...

U-Th zircon SHRIMP and U-Th-total Pb monazite CHIME ages of 6 typical samples were established among different rock types outcropped into the Chah-Dozdan batholith from Iran. The zircon population displays simple internal structures in samples of the Chah-Dozdan batholith. The zircon crystals have well-preserved magmatic characteristics. In all population, the rims display younger ages than the...