Background: The Achilles tendon is the thickest tendon in the human body and is responsible for plantar flexion with muscle contraction. It is able to withstand tensile loads as large as ten times the body's weight or greater at times of peak stress on the tendon. Due to the repetitive and massive stress inflicted on the Achilles tendon, it is prone to injuries, especially in running and jumping athletes.
View Article and Find Full Text PDFBackground: Injuries due to falls represent one of the most common etiologies of traumatic injury in the United States. Stairway-related falls in particular can lead to significant morbidity, mortality, and concomitant long-term disability and economic costs. Our study aims to evaluate the outcomes of patients presenting to a rural academic trauma center after experiencing a fall down stairs.
View Article and Find Full Text PDFFocusing on three-pion states with maximal isospin (π^{+}π^{+}π^{+}), we present the first nonperturbative determination of an energy-dependent three-hadron scattering amplitude from first-principles QCD. The calculation combines finite-volume three-hadron energies, extracted using numerical lattice QCD, with a relativistic finite-volume formalism, required to interpret the results. To fully implement the latter, we also solve integral equations that relate an intermediate three-body K matrix to the physical three-hadron scattering amplitude.
View Article and Find Full Text PDFAn analytic expression is derived for the leading-order finite-volume effects arising in lattice QCD calculations of the hadronic-vacuum-polarization contribution to the muon's magnetic moment a_{μ}^{HVP,LO}≡(g-2)_{μ}^{HVP,LO}/2. For calculations in a finite spatial volume with periodicity L, a_{μ}^{HVP,LO}(L) admits a transseries expansion with exponentially suppressed L scaling. Using a Hamiltonian approach, we show that the leading finite-volume correction scales as exp[-M_{π}L] with a prefactor given by the (infinite-volume) Compton amplitude of the pion, integrated with the muon-mass-dependent kernel.
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