We compute the third-order corrections to the heavy quarkonium spectrum and production/annihilation rates due to the leading renormalization group running of the static potential. The previously known complete O(m q α 5 s) result for the heavy quarkonium ground state energy is extended to the exited states. After including the O(α 3 s) corrections the perturbative results are in surprisingly go...

Modern XAFS (X-ray Absorption Fine Structure) data-analysis is based on accurate multiple-scattering (MS) calculations of the X-ray absorption cross-section. In this paper, we present inclusion and test relativistic corrections for within GnXAS suite programs, which relevant to treatment signals when atoms with high atomic number are contained into system. We a suitable strategy introducing wit...

We discuss the generalized eigenvalue problem for computing energies and matrix elements in lattice gauge theory, including effective theories such as HQET. It is analyzed how the extracted effective energies and matrix elements converge when the time separations are made large. This suggests a particularly efficient application of the method for which we can prove that corrections vanish asymp...

We discuss the generalized eigenvalue problem for computing energies and matrix elements in lattice gauge theory, including effective theories such as HQET. It is analyzed how the extracted effective energies and matrix elements converge when the time separations are made large. This suggests a particularly efficient application of the method for which we can prove that corrections vanish asymp...

A widespread assumption in the cognitive sciences that continues to shape theories from low-level perception to high-level reasoning is that cognitive processes are distinct from the representations on which they operate. According to this view, the brain is like a computer in which content (data) is qualitatively separate from process (operations on the data). We will argue that this critical ...

We discuss the generalized eigenvalue problem for computing energies and matrix elements in lattice gauge theory, including effective theories such as HQET. It is analyzed how the extracted effective energies and matrix elements converge when the time separations are made large. This suggests a particularly efficient application of the method for which we can prove that corrections vanish asymp...

We discuss the calculation of the three-loop corrections to the static potential of two heavy quarks.