4,252 research outputs found
Production of antimatter Li nuclei in central Au+Au collisions at GeV
Combining the covariant coalescence model and a blast-wave-like analytical
parametrization for (anti-)nucleon phase-space freezeout configuration, we
explore light (anti-)nucleus production in central Au+Au collisions at
GeV. Using the nucleon freezeout configuration (denoted
by FO1) determined from the measured spectra of protons (p), deutrons (d) and
He, we find the predicted yield of He is significantly smaller than
the experimental data. We show this disagreement can be removed by using a
nucleon freezeout configuration (denoted by FO2) in which the nucleons are
assumed to freeze out earlier than those in FO1 to effectively consider the
effect of large binding energy value of He. Assuming the binding energy
effect also exists for the production of ,
, and due to
their similar binding energy values as He, we find the yields of these
heavier (anti-)nuclei can be enhanced by a factor of about one order, implying
that although the stable (anti-)Li nucleus is unlikely to be observed, the
unstable (anti-)Li nucleus could be produced in observable abundance in
Au+Au collisions at GeV where it may be identified
through the p- (-)
invariant mass spectrum. The future experimental measurement on
(anti-) would be very useful to understand the production
mechanism of heavier antimatter.Comment: 8 pages, 2 figures, 3 tables. Typos fixed and one ref added. Accepted
version to appear in PL
The Lax pair for C_2-type Ruijsenaars-Schneider model
We study the C_2 Ruijsenaars-Schneider(RS) model with interaction potential
of trigonometric type. The Lax pairs for the model with and without spectral
parameter are constructed. Also given are the involutive Hamiltonians for the
system. Taking nonrelativistic limit, we obtain the Lax pair of C_2
Calogero-Moser model.Comment: LaTeX2e, 10 pages, some misprints corrected and sections rearrange
A Deterministic Equivalent for the Analysis of Non-Gaussian Correlated MIMO Multiple Access Channels
Large dimensional random matrix theory (RMT) has provided an efficient
analytical tool to understand multiple-input multiple-output (MIMO) channels
and to aid the design of MIMO wireless communication systems. However, previous
studies based on large dimensional RMT rely on the assumption that the transmit
correlation matrix is diagonal or the propagation channel matrix is Gaussian.
There is an increasing interest in the channels where the transmit correlation
matrices are generally nonnegative definite and the channel entries are
non-Gaussian. This class of channel models appears in several applications in
MIMO multiple access systems, such as small cell networks (SCNs). To address
these problems, we use the generalized Lindeberg principle to show that the
Stieltjes transforms of this class of random matrices with Gaussian or
non-Gaussian independent entries coincide in the large dimensional regime. This
result permits to derive the deterministic equivalents (e.g., the Stieltjes
transform and the ergodic mutual information) for non-Gaussian MIMO channels
from the known results developed for Gaussian MIMO channels, and is of great
importance in characterizing the spectral efficiency of SCNs.Comment: This paper is the revision of the original manuscript titled "A
Deterministic Equivalent for the Analysis of Small Cell Networks". We have
revised the original manuscript and reworked on the organization to improve
the presentation as well as readabilit
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