30,234 research outputs found
Generalised Fractional Evolution Equations of Caputo Type
This paper is devoted to the study of generalised time-fractional evolution
equations involving Caputo type derivatives. Using analytical methods and
probabilistic arguments we obtain well-posedness results and stochastic
representations for the solutions. These results encompass known linear and
non-linear equations from classical fractional partial differential equations
such as the time-space-fractional diffusion equation, as well as their far
reaching extensions. \\ Meaning is given to a probabilistic generalisation of
Mittag-Leffler functions.Comment: To be published in 'Chaos, Solitons & Fractals
De Plantis Legionensibus. Nota IV
Como continuación de las precedentes aportaciones a la flora de León se citan diez nuevos taxones para el catálogo floristico de la provincia, señalando algunas caracterÃsticas ecológicas y corológicas de los mismos.As following the former check-list apportations for León province. Ten taxa are recorded for the first time
A novel and economical explanation for SM fermion masses and mixings
I propose the first multiscalar singlet extension of the Standard Model (SM),
that generates tree level top quark and exotic fermion masses as well as one
and three loop level masses for charged fermions lighter than the top quark and
for light active neutrinos, respectively, without invoking electrically charged
scalar fields. That model, which is based on the discrete
symmetry, successfully explains the observed SM fermion mass and mixing
pattern. The charged exotic fermions induce one loop level masses for charged
fermions lighter than the top quark. The charged scalar singlet
generates the observed charged fermion mass and quark mixing pattern.Comment: 4 pages. Section on the 750 GeV diphoton anomaly removed. Accepted
for publication as a Letter in the European Physical Journal
Study of the strong and in a non-relativistic quark model
We present results for the strong widths corresponding to the and decays. We apply our
model in Ref. Phys. Rev. D 72, 094022 (2005) where we previously studied the
corresponding transitions in the charmed sector. Our non-relativistic
constituent quark model uses wave functions that take advantage of the
constraints imposed by heavy quark symmetry. Partial conservation of axial
current hypothesis allows us to determine the strong vertices from an analysis
of the axial current matrix elements.Comment: 6 latex pages, 1 table, new references adde
When is R the union of an increasing family of null sets?
We study the problem in the title and show that it is equivalent to the fact that every set of reals is an increasing union of measurable sets. We also show the relationship of it with Sierpin’ski set
A predictive model with flavour symmetry
We propose a predictive model based on the gauge group supplemented by the discrete group, which successfully describes
the SM fermion mass and mixing pattern. The small active neutrino masses are
generated via inverse seesaw mechanism with three very light Majorana
neutrinos. The observed charged fermion mass hierarchy and quark mixing pattern
are originated from the breaking of the
discrete group at very high scale. The obtained values for the physical
observables for both quark and lepton sectors are in excellent agreement with
the experimental data. The model predicts a vanishing leptonic Dirac CP
violating phase as well as an effective Majorana neutrino mass parameter of
neutrinoless double beta decay, with values 2 and 48 meV
for the normal and the inverted neutrino mass hierarchies, respectively.Comment: 20 pages. Final version published in Nuclear Physics
The role of hyperfine mixing in semileptonic decays of doubly-heavy baryons
We analyze the effects of hyperfine mixing in semileptonic decays
of doubly heavy baryons. We qualitatively confirm the results by W. Roberts and
M. Pervin in Int. J. Mod. Phys. A, 2009, {\bf 24}: 2401-2413, finding that
mixing has a great impact on those transitions. However, predictions without
mixing differ by a factor of 2 and this discrepancy translates to the mixed
case where large differences in decay widths are observed between the two
calculations.Comment: 3 latex pages. Talk given at The 5-th International Conference on
Quarks and Nuclear Physics (QNP09), Beijing, September 200
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