44,775 research outputs found
Weak Decays of Doubly Heavy Baryons: Multi-body Decay Channels
The newly-discovered decays into the , but the experimental data has indicated that this decay is not
saturated by any two-body intermediate state. In this work, we analyze the
multi-body weak decays of doubly heavy baryons , ,
, , and , in particular the
three-body nonleptonic decays and four-body semileptonic decays. We classify
various decay modes according to the quark-level transitions and present an
estimate of the typical branching fractions for a few golden decay channels.
Decay amplitudes are then parametrized in terms of a few SU(3) irreducible
amplitudes. With these amplitudes, we find a number of relations for decay
widths, which can be examined in future.Comment: 47pages, 1figure. arXiv admin note: substantial text overlap with
arXiv:1707.0657
On a Modified DeGroot-Friedkin Model of Opinion Dynamics
This paper studies the opinion dynamics that result when individuals
consecutively discuss a sequence of issues. Specifically, we study how
individuals' self-confidence levels evolve via a reflected appraisal mechanism.
Motivated by the DeGroot-Friedkin model, we propose a Modified DeGroot-Friedkin
model which allows individuals to update their self-confidence levels by only
interacting with their neighbors and in particular, the modified model allows
the update of self-confidence levels to take place in finite time without
waiting for the opinion process to reach a consensus on any particular issue.
We study properties of this Modified DeGroot-Friedkin model and compare the
associated equilibria and stability with those of the original DeGroot-Friedkin
model. Specifically, for the case when the interaction matrix is doubly
stochastic, we show that for the modified model, the vector of individuals'
self-confidence levels asymptotically converges to a unique nontrivial
equilibrium which for each individual is equal to 1/n, where n is the number of
individuals. This implies that eventually, individuals reach a democratic
state
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