Computes four-quark operator matrix elements via QCD sum rules, derives their HQET limit, demonstrates numerical consistency between the two, and identifies the source of prior literature discrepancies.
On the $b-$ Quark Kinetic Energy in the $\Lambda_b$
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abstract
We consider the problem of determining the matrix element of the heavy quark kinetic energy operator between $\Lambda_b$ baryonic states by three point function QCD sum rules in the Heavy Quark Effective Theory. We discuss the main features and the uncertainties associated to such an approach. Numerically, we find the result: ${\langle{\cal K}\rangle}_{\Lambda_b} = - (0.6 \pm 0.1) \; GeV^2$. Within the uncertainty of the method, such result indicates a value of the heavy quark kinetic energy in the baryon similar in size to that in the meson.
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From QCD sum rules to HQET sum rules: Heavy-quark limit of four-quark operator matrix elements
Computes four-quark operator matrix elements via QCD sum rules, derives their HQET limit, demonstrates numerical consistency between the two, and identifies the source of prior literature discrepancies.