Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounds on the derivatives of the Isgur-Wise function with a
  non-relativistic light quark   In a preceeding study in the heavy quark limit of QCD, it has been
demonstrated that the best lower bound on the curvature of the Isgur-Wise
function Xsi(w) is Xsi"(1) > (4rho2+3(rho2)2) > 15/16. The quadratic term
(rho2)2 is dominant in a non-relativistic expansion in the light quark, both
Xsi"(1) and (rho2)2 scaling like (R2m2)2, where m is the light quark mass and R
the bound state radius. The non-relativistic limit is thus a good guide-line in
the study of the shape of Xsi(w). In the present paper we obtain similar bounds
on all the derivatives of XsiNR(w), the IW function with the light quark
non-relativistic, and we demons- trate that these bounds are optimal. We
formulate a general method, based on the positivity of matrices of moments of
the ground state wave function, that allows to bound the n-th derivative
XsiNR(n)(w) in terms of the m-th ones (m < n). We argue that this method can be
generalized to the true Isgur-Wise function of QCD Xsi(w).

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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: math
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th