Long-range interactions and artificial poles

Long-range interactions and artificial poles

The structure of the three-body continuum of the 6He nucleus within the hyperspherical harmonic calculation scheme has been the subject of extensive study. An approximate treatment of the long-range couplings inherent in such models gives rise to unphysical poles in the deduced Smatrix at complex energies. We consider here a simple two-channel example, which includes long-range interactions, an...

Long - range enhancer - promoter interactions :

Insulators, long-range interactions, and genome function.

Insulators are DNA-protein complexes that can mediate interactions in cis or trans between different regions of the genome. Although originally defined on the basis of their ability to block enhancer-promoter communication or to serve as barriers against the spreading of heterochromatin in reporter systems, recent information suggests that their function is more nuanced and depends on the natur...

Discrete Scale Invariance and Long-Range Interactions

We investigate the modification of discrete scale invariance by long-range interactions. This problem is relevant for effective field theory descriptions of nuclear cluster states and manifestations of the Efimov effect in nuclei. As a model system, we choose a one dimensional inverse square potential supplemented with a long-range Coulomb interaction. We study the renormalization and bound-sta...

Entropy Dissipation and Long-range Interactions

Abstract. We study Boltzmann’s collision operator for long-range interactions, i.e. without Grad’s angular cut-off assumption. We establish a functional inequality showing that the entropy dissipation controls smoothness of the distribution function, in a precise sense. Our estimate is optimal, and gives a unified treatment of both the linear and the nonlinear cases. We also give simple and sel...