9,996 research outputs found
On spectrum of irrationality exponents of Mahler numbers
We consider Mahler functions which solve the functional equation where and
is integer. We prove that for any integer with either
is rational or its irrationality exponent is rational. We also compute
the exact value of the irrationality exponent for as soon as the
continued fraction for the corresponding Mahler function is known. This
improves the result of Bugeaud, Han, Wei and Yao where only an upper bound for
the irrationality exponent was provided
Quantum Lie algebras associated to and
Quantum Lie algebras \qlie{g} are non-associative algebras which are
embedded into the quantized enveloping algebras of Drinfeld and Jimbo
in the same way as ordinary Lie algebras are embedded into their enveloping
algebras. The quantum Lie product on \qlie{g} is induced by the quantum
adjoint action of . We construct the quantum Lie algebras associated to
and . We determine the structure constants and the
quantum root systems, which are now functions of the quantum parameter .
They exhibit an interesting duality symmetry under .Comment: Latex 9 page
Theta-3 is connected
In this paper, we show that the -graph with three cones is connected.
We also provide an alternative proof of the connectivity of the Yao graph with
three cones.Comment: 11 pages, to appear in CGT
Masses and Mixing of Tetraquarks Using Glozman-Riska Hyperfine Interaction
In this paper we perform a detailed study of the masses and mixing of the
single charmed scalar tetraquarks: . We also give a
systematic analysis of these tetraquark states by weight diagrams, quantum
numbers and flavor wave functions. Tetraquark masses are calculated using four
different fits. The following SU(3) representations are discussed:
, , and
. We use the flavor-spin Glozman-Riska interaction
Hamiltonian with SU(3) flavor symmetry breaking. There are 27 different
tetraquarks composed of a charm quark and of the three light flavors : 11 cryptoexotic (3 D, 4 D, 4 D) and 16
explicit exotic states. We discuss D and its isospin partners in
the same multiplet, as well as all the other four-quark states. Some explicit
exotic states appear in the spectrum with the same masses as
D(2632) in and with the same masses as
D(2317) in representation, which confirm the
tetraquark nature of these states.Comment: 10 pages, 6 tables, 6 figures. Accepted for publication in Phys. Rev.
New directions for old drugs
With the beneficial goal of generating new applications from known drugs, the chemistry and biology groups of Dr. Martin J. Lear and Prof. Yao Shao Qin have teamed up to develop an anti-cancer agent out of the FDA-approved anti-obesity drug called Orlistat (also known as tetrahydrolipstatin, THL). Their strategy combines the techniques of total synthesis and chemical proteomics to generate THL-probes capable of trapping off-target proteins
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