Mersenne Primes, Polygonal Anomalies and String Theory Classification

It is pointed out that the Mersenne primes $M_p=(2^p-1)$ and associated perfect numbers ${\cal M}_p=2^{p-1}M_p$ play a significant role in string theory; this observation may suggest a classification of consistent string theories.Comment: 10 pages LaTe

Axion and neutrino physics from anomaly cancellation

It has been recently shown that the requirement of anomaly cancellation in a (non-supersymmetric) six-dimensional version of the standard model fixes the field content to the known three generations. We discuss the phenomenological consequences of the cancellation of the local anomalies: the strong CP problem is solved and the fundamental scale of the theory is bounded by the physics of the axion. Neutrinos acquire a mass in the range suggested by atmospheric experiments.Comment: 9 pages, RevTeX

Risk-Based Capital in General Insurance

This paper looks at the problems of assessing, for solvency purposes, the capital requirements of a non-life insurer in the context of the United Kingdom. It considers how these capital requirements might vary according to the different risks to which an insurer is subject and how this Risk-Based Capital (RBC) might be measured in practice, using as a case study the RBC formula recently introduced in the United States of America. The paper also discusses the application of RBC concepts to the problem of internal capital allocation, to assist in measuring an insurer's rate of return to shareholders by business unit, as well as the more obvious regulatory application. The advantages and disadvantages of a formula-based approach to capital requirements for solvency purposes are discussed in comparison with possible alternative approaches to insurance supervisio

High Resolution Studies of the (p,Pi+) Reaction on 1p Shell Nuclei at E_p=200 MeV

Supported by the National Science Foundation and Indiana Universit

Measurement of Charged Pion Yields from Nuclei in the (p,Pi+) Reaction from 2-13 MeV above Threshold

This work was supported by National Science Foundation Grant PHY 76-84033 and Indiana Universit

Hawking radiation in different coordinate settings: Complex paths approach

We apply the technique of complex paths to obtain Hawking radiation in different coordinate representations of the Schwarzschild space-time. The coordinate representations we consider do not possess a singularity at the horizon unlike the standard Schwarzschild coordinate. However, the event horizon manifests itself as a singularity in the expression for the semiclassical action. This singularity is regularized by using the method of complex paths and we find that Hawking radiation is recovered in these coordinates indicating the covariance of Hawking radiation as far as these coordinates are concerned.Comment: 18 pages, 2 figures, Uses IOP style file; final version; accepted in Class. Quant. Gra

Energy Dependence of Pion Production by Protons on Nuclei

This work was supported by National Science Foundation Grants PHY 76-84033A01, PHY 78-22774, and Indiana Universit

Positive-Pion Production by 149-166 MeV Protons on 16-O and 28-Si

Supported by the National Science Foundation and Indiana Universit

Charged-Pion Production in Proton-Nucleus Collisions Near Threshold

This work was supported by National Science Foundation Grant PHY 76-84033 and Indiana Universit

Positive Pion Production from the Bombardment of 11-B, 12-C, and 40-Ca by 146-159 MeV Polarized Protons

Supported by the National Science Foundation and Indiana Universit