10,770 research outputs found
Alpha-CIR Model with Branching Processes in Sovereign Interest Rate Modelling
We introduce a class of interest rate models, called the -CIR model,
which gives a natural extension of the standard CIR model by adopting the
-stable L{\'e}vy process and preserving the branching property. This
model allows to describe in a unified and parsimonious way several recent
observations on the sovereign bond market such as the persistency of low
interest rate together with the presence of large jumps at local extent. We
emphasize on a general integral representation of the model by using random
fields, with which we establish the link to the CBI processes and the affine
models. Finally we analyze the jump behaviors and in particular the large
jumps, and we provide numerical illustrations
Neutron Density Distributions of Neutron-Rich Nuclei Studied with the Isobaric Yield Ratio Difference
The isobaric yield ratio difference (IBD) between two reactions of similar
experimental setups is found to be sensitive to nuclear density differences
between projectiles. In this article, the IBD probe is used to study the
density variation in neutron-rich Ca. By adjusting diffuseness in the
neutron density distribution, three different neutron density distributions of
Ca are obtained. The yields of fragments in the 80 MeV Ca
+ C reactions are calculated by using a modified statistical
abrasion-ablation model. It is found that the IBD results obtained from the
prefragments are sensitive to the density distribution of the projectile, while
the IBD results from the final fragments are less sensitive to the density
distribution of the projectile.Comment: 3 figure
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