8,491 research outputs found
T Violation in Baryonic B Decays
We study violation in the three-body charmless baryonic decay of \bar
B^0 \ra \Lambda \bar p \pi^+ through the -odd triple product correlation in
the standard model. We find that the violating asymmetry is 10%, which is
accessible to the current B factories at KEK and SLAC, while the CP violating
one 1.1%. We emphasize that this triple product correlation would be the first
measurable direct violating effect predicted in the standard model.Comment: 4 pages, 1 table, parallel talk given at International Conference on
QCD and Hadronic Physics, Beijing, China, 16-20 Jun 200
Canonical characters on quasi-symmetric functions and bivariate Catalan numbers
Every character on a graded connected Hopf algebra decomposes uniquely as a
product of an even character and an odd character (Aguiar, Bergeron, and
Sottile, math.CO/0310016).
We obtain explicit formulas for the even and odd parts of the universal
character on the Hopf algebra of quasi-symmetric functions. They can be
described in terms of Legendre's beta function evaluated at half-integers, or
in terms of bivariate Catalan numbers:
Properties of characters and of quasi-symmetric functions are then used to
derive several interesting identities among bivariate Catalan numbers and in
particular among Catalan numbers and central binomial coefficients
Multigraded combinatorial Hopf algebras and refinements of odd and even subalgebras
We develop a theory of multigraded (i.e., -graded) combinatorial Hopf
algebras modeled on the theory of graded combinatorial Hopf algebras developed
by Aguiar, Bergeron, and Sottile [Compos. Math. 142 (2006), 1--30]. In
particular we introduce the notion of canonical -odd and -even
subalgebras associated with any multigraded combinatorial Hopf algebra,
extending simultaneously the work of Aguiar et al. and Ehrenborg. Among our
results are specific categorical results for higher level quasisymmetric
functions, several basis change formulas, and a generalization of the
descents-to-peaks map.Comment: 49 pages. To appear in the Journal of Algebraic Combinatoric
Search for states in decays at the LHCb
We consider and as the vector tetraquark states of
and , respectively. By
connecting to , we predict that
the branching ratios of
and are and , which are accessible to the
experiments at the LHCb, respectively. The measurements of these
modes would be the first experimental evidences for the states in
baryonic decays.Comment: 7 pages, 1 figure
Radiative Baryonic Decays
We study the structure-dependent contributions to the radiative baryonic
decays of in the standard model. We show
that the decay branching ratios of are
, which are larger than the estimated values of
induced from inner bremsstrahlung effects of the corresponding two-body modes.
In particular, we find that is around , which is close to the pole model estimation but smaller than
the experimental measurement from BELLE.Comment: 11 pages, 2 figures, Revtex4, new fitting is include
Pentaquarks from intrinsic charms in decays
We study the three-body decays of with
and . The two new states and observed recently as
the resonances in the invariant mass spectrum of can be identified to consist of five quarks, , being
consistent with the existence of the pentaquark states. We argue that, in the
doubly charmful decays of through , apart from those through the non-resonant and
resonant transitions, the third contribution
with the non-factorizable effects is not the dominant part for the resonant
processes,
such that we propose that the productions are mainly from
the charmless decays through , in which the content in arises from the intrinsic charms within the
baryon. We hence predict the observables related to the branching
ratios and the direct CP violating asymmetries to be , , and , which can alleviate the
inconsistency between the theoretical expectations from the three contributions
in the doubly charmful decays and the observed data.Comment: 10 pages, 2 figures, revised version accepted by PL
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