Response of the XENON100 Dark Matter Detector to Nuclear Recoils

Results from the nuclear recoil calibration of the XENON100 dark matter detector installed underground at the Laboratori Nazionali del Gran Sasso, Italy are presented. Data from measurements with an external AmB(241)e neutron source are compared with a detailed Monte Carlo simulation which is used to extract the energy-dependent charge-yield Q(y) and relative scintillation efficiency L-eff. A very good level of absolute spectral matching is achieved in both observable signal channels-scintillation S1 and ionization S2-along with agreement in the two-dimensional particle discrimination space. The results confirm the validity of the derived signal acceptance in earlier reported dark matter searches of the XENON100 experiment.

Stochastische Modelle der aktuariellen Risikotheorie. Eine mathematische Einführung

Stochastische Modelle sind bei der Bewertung von Schadensbeträgen für Versicherungen von besonderer Bedeutung. Das Buch gibt eine Einführung in die dabei verwendeten Modelle für kleine und große Schadensbeträge wie auch in die stochastische Prozesse der aktuariellen Risikotheorie (Zählprozesse und Poisson-Prozess). Zentrales Thema ist die Analyse der Ruinwahrscheinlichkeit, wobei exakte Berechnungsmethoden, asymptotische Approximationen und numerische Algorithmen wie Monte Carlo-Simulation und schnelle Fourier-Transformation vorgestellt werden. Ein Appendix mit wichtigen Resultaten der Wahrscheinlichkeitstheorie erleichtert die Lektüre dieses Buches.

Regional Radiation Pneumonitis After SIRT of a Subcapsular Liver Metastasis: What is the Effect of Direct Beta Irradiation?

We herein present a patient undergoing selective internal radiation therapy with an almost normal lung shunt fraction of 11.5 %, developing histologically proven radiation pneumonitis. Due to a predominance of pulmonary consolidations in the right lower lung and its proximity to a large liver metastases located in the dome of the right liver lobe a Monte Carlo simulation was performed to estimate the effect of direct irradiation of the lung parenchyma. According to our calculations direct irradiation seems negligible and RP is almost exclusively due to ectopic draining of radioactive spheres.

An efficient simulation algorithm for the generalized von Mises distribution of order two

In this article we propose an exact efficient simulation algorithm for the generalized von Mises circular distribution of order two. It is an acceptance-rejection algorithm with a piecewise linear envelope based on the local extrema and the inflexion points of the generalized von Mises density of order two. We show that these points can be obtained from the roots of polynomials and degrees four and eight, which can be easily obtained by the methods of Ferrari and Weierstrass. A comparative study with the von Neumann acceptance-rejection, with the ratio-of-uniforms and with a Markov chain Monte Carlo algorithms shows that this new method is generally the most efficient.