Completion of the Ablowitz-Kaup-Newell-Segur integrable coupling

Integrable couplings are associated with non-semisimple Lie algebras. In this paper, we propose a new method to generate new integrable systems through making perturbation in matrix spectral problems for integrable couplings, which is called the `completion process of integrable couplings'. As an example, the idea of construction is applied to the Ablowitz-Kaup-Newell-Segur integrable coupling. Each equation in the resulting hierarchy has a bi-Hamiltonian structure furnished by the component-trace identity

Strangeness S=−1S=-1 hyperon-nucleon scattering in covariant chiral effective field theory

Motivated by the successes of covariant baryon chiral perturbation theory in one-baryon systems and in heavy-light systems, we study relevance of relativistic effects in hyperon-nucleon interactions with strangeness $S=-1$. In this exploratory work, we follow the covariant framework developed by Epelbaum and Gegelia to calculate the $YN$ scattering amplitude at leading order. By fitting the five low-energy constants to the experimental data, we find that the cutoff dependence is mitigated, compared with the heavy-baryon approach. Nevertheless, the description of the experimental data remains quantitatively similar at leading order.Comment: The manuscript has been largely rewritten but the results remain unchanged. To appear in Physical Review

3-Amino-4,6-dimethyl­thieno[2,3-b]pyridine-2-carbonitrile

The mol­ecule of the title compound, C10H9N3S, is almost planar, with a dihedral angle of 1.38 (4)° between the thio­phene and pyridine rings. In the crystal packing, mol­ecules are linked into layers parallel to the ab plane by inter­molecular N—H⋯N hydrogen bonds and by π⋯π stacking inter­actions involving adjacent pyridine and thio­phene rings with a centroid–centroid distance of 3.537 (3) Å