Nuclear astrophysical plasmas: ion distribution functions and fusion rates

This article illustrates how very small deviations from the Maxwellian exponential tail, while leaving unchanged bulk quantities, can yield dramatic effects on fusion reaction rates and discuss several mechanisms that can cause such deviations.Comment: 9 ReVTex pages including 2 color figure

Search for non-Poissonian behavior in nuclear beta-decay

We performed two independent counting experiments on a beta-emitting source of Sm151 by measuring the gamma-photon emitted in a fraction of the decays. For counting times ranging from 10**-3 to 5.12*10**4 seconds, our measurements show no evidence of deviations from Poissonian behavior and, in particular, no sign of 1/f noise. These measurements put strong limits on non-Poissonian components of the fluctuations for the subset of decays accompanied by gamma, and corresponding limits for the total number of beta-decays. In particular, the magnitude of a hypothetical flicker floor is strongly bounded also for the beta-decay. This result further constrains theories predicting anomalous fluctuations in nuclear decays.Comment: 10 pages, LaTeX, plus 2 figures added as separate uuencoded compressed postscript files. To appear in Phys. Rev. E 55 (1997

Geo-neutrinos and Earth's interior

The deepest hole that has ever been dug is about 12 km deep. Geochemists analyze samples from the Earth's crust and from the top of the mantle. Seismology can reconstruct the density profile throughout all Earth, but not its composition. In this respect, our planet is mainly unexplored. Geo-neutrinos, the antineutrinos from the progenies of U, Th and K40 decays in the Earth, bring to the surface information from the whole planet, concerning its content of natural radioactive elements. Their detection can shed light on the sources of the terrestrial heat flow, on the present composition, and on the origins of the Earth. Geo-neutrinos represent a new probe of our planet, which can be exploited as a consequence of two fundamental advances that occurred in the last few years: the development of extremely low background neutrino detectors and the progress on understanding neutrino propagation. We review the status and the prospects of the field.Comment: 56 pages in RMP ReVTeX format, 36 figures. A few typos corrected and a few minor points changed: resubmitted only to match the final version accepted for publication by Physics Report

Ultra high energy photon showers in magnetic field:angular distribution of produced particles

Ultra high energy (UHE) photons can initiate electromagnetic showers in magnetic field. We analyze the two processes that determine the development of the shower, $e^+ e^-$ pair creation and synchrotron radiation, and derive formulae for the angular distribution of the produced particles. These formulae are necessary to study the three-dimensional development of the shower.Comment: RevTex, 13 pages, 4 figure

What entropy at the edge of chaos?

Numerical experiments support the interesting conjecture that statistical methods be applicable not only to fully-chaotic systems, but also at the edge of chaos by using Tsallis' generalizations of the standard exponential and entropy. In particular, the entropy increases linearly and the sensitivity to initial conditions grows as a generalized exponential. We show that this conjecture has actually a broader validity by using a large class of deformed entropies and exponentials and the logistic map as test cases.Comment: 6 pages, 6 figures, uses ws-procs975x65.cls. Proceedings of the Workshop "Complexity, Metastability and Nonextensivity" held in Erice 20-26 July 2004. New version: minor changes (one reference added, typos corrected, positions of figures changed, some comments added

Geo-neutrinos: a new probe of Earth's interior

In preparation to the experimental results which will be available in the future, we study geo-neutrino production for different models of mantle convection and composition. By using global mass balance for the Bulk Silicate Earth, the predicted flux contribution from distant sources in the crust and in the mantle is fixed within a total uncertainty of +-15%. We also discuss regional effects, provided by subducting slabs or plumes near the detector. In four years a five-kton detector operating at a site relatively far from nuclear power plants can achieve measurements of the geo-neutrino signal accurate to within +-5%. It will provide a crucial test of the Bulk Silicate Earth and a direct estimate of the radiogenic contribution to terrestrial heat.Comment: 19 pages, 6 tables, 7 figures; accepted for publication in Earth and Planetary Science Letter

Fusion reactions in plasmas as probe of the high-momentum tail of particle distributions

In fusion reactions, the Coulomb barrier selects particles from the high-momentum part of the distribution. Therefore, small variations of the high-momentum tail of the velocity distribution can produce strong effects on fusion rates. In plasmas several potential mechanisms exist that can produce deviations from the standard Maxwell-Boltzmann distribution. Quantum broadening of the energy-momentum dispersion relation of the plasma quasi-particles modifies the high-momentum tail and could explain the fusion-rate enhancement observed in low-energy nuclear reaction experiments.Comment: 9 pages in ReVTeX preprint format, 3 figures, to appear in EPJ

Geo-Neutrinos: from Theory to the KamLAND Results

Earth shines in antineutrinos produced from long-lived radioactive elements: detection of this signal can provide a direct test of the Bulk Silicate Earth (BSE) model and fix the radiogenic contribution to the terrestrial heat flow. In this paper we present a systematic approach to geo-neutrino production based on global mass balance, supplemented by a detailed geochemical and geophysical study of the region near the detector, in order to build theoretical constraints on the expected signal. We show that the prediction is weakly dependent on mantle modeling while it requires a good description of the crust composition in the region of the detector site. In 2005 the KamLAND experiment proved that the technique for exploiting geo-neutrinos in the investigation of the Earth's interior is now available. After performing an analysis of KamLAND data which includes recent high precision measurements of the 13C(α, n)16O cross section, we discuss the potential of future experiments for assessing the amount of uranium and thorium in different reservoirs (crust, mantle and core) of the Earth