6,144 research outputs found
Hamilton paths with lasting separation
We determine the asymptotics of the largest cardinality of a set of Hamilton
paths in the complete graph with vertex set [n] under the condition that for
any two of the paths in the family there is a subpath of length k entirely
contained in only one of them and edge{disjoint from the other one
Interlocked permutations
The zero-error capacity of channels with a countably infinite input alphabet
formally generalises Shannon's classical problem about the capacity of discrete
memoryless channels. We solve the problem for three particular channels. Our
results are purely combinatorial and in line with previous work of the third
author about permutation capacity.Comment: 8 page
Skewincidence
We introduce a new class of problems lying halfway between questions about
graph capacity and intersection. We say that two binary sequences x and y of
the same length have a skewincidence if there is a coordinate i for which
x_i=y_{i+1}=1 or vice versa. We give rather sharp bounds on the maximum number
of binary sequences of length n any pair of which has a skewincidence
Radiative Decays of the P-Wave Charmed Mesons
Minor (mainly numerical) corrections.Comment: 12 pages, LaTeX, MZ-TH/92-5
Helicity fractions of W bosons from top quark decays at NNLO in QCD
Decay rates of unpolarized top quarks into longitudinally and transversally
polarized W bosons are calculated to second order in the strong coupling
constant alpha_s. Including the finite bottom quark mass and electroweak
effects, the Standard Model predictions for the W boson helicity fractions are
F_L=0.687(5), F_+=0.0017(1), and F_-=0.311(5).Comment: 5 pages, 1 figur
Semileptonic and nonleptonic decays of Bc
Using our relativistic constituent quark model we present results on the
exclusive nonleptonic and semileptonic decays of the Bc-meson. The nonleptonic
decays are studied in the framework of the factorization approximation. We
calculate the branching ratios for a large set of exclusive nonleptonic and
semileptonic decays of the Bc-meson and compare our results with the results of
other models.Comment: 4 pages, proceeding of the talk given by Pietro Santorelli at IFAE
2006, Pavia, 19-21 Aprile 200
J/\psi dissociation cross sections in a relativistic quark model
We calculate the amplitudes and the cross sections of the charm dissociation
processes J/\psi \pi => D \bar D, D* \bar D, D \bar D*, D* \bar D* within a
relativistic constituent quark model. We consistently account for the
contributions coming from both the box and triangle diagrams that contribute to
the dissociation processes. The cross section is dominated by the D* \bar D and
D* \bar D* channels. When summing up the four channels we find a maximum total
cross section of about 2.3 mb at sqrt(s) \approx 4.1 GeV. We compare our
results to the results of other model calculations.Comment: 22 pages, 9 figures, typos corrected, this version will appear on
Phys. Rev.
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