40,979 research outputs found
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
F-threshold functions: syzygy gap fractals and the two-variable homogeneous case
In this article we study F-pure thresholds (and, more generally,
F-thresholds) of homogeneous polynomials in two variables over a field of
characteristic p>0. Passing to a field extension, we factor such a polynomial
into a product of powers of pairwise prime linear forms, and to this collection
of linear forms we associate a special type of function called a syzygy gap
fractal. We use this syzygy gap fractal to study, at once, the collection of
all F-pure thresholds of all polynomials constructed with the same fixed linear
forms. This allows us to describe the structure of the denominator of such an
F-pure threshold, showing in particular that whenever the F-pure threshold
differs from its expected value its denominator is a multiple of p. This
answers a question of Schwede in the two-variable homogeneous case. In
addition, our methods give an algorithm to compute F-pure thresholds of
homogenous polynomials in two variables.Comment: 42 pages; 6 figures. Section 6 was mostly rewritten; a new appendix
was included; other smaller changes throughout. Comments welcom
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