812 research outputs found
Strangeness 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 .
In this exploratory work, we follow the covariant framework developed by
Epelbaum and Gegelia to calculate the 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
Characterizing Kirkwood-Dirac nonclassicality and uncertainty diagram based on discrete Fourier transform
In this paper, we investigate the Kirkwood-Dirac nonclassicality and
uncertainty diagram based on discrete Fourier transform (DFT) in a
dimensional system. The uncertainty diagram of complete incompatibility bases
are characterized by De Bi\`{e}vre [arXiv:
2207.07451]. We show that for the uncertainty diagram of the DFT matrix which
is a transition matrix from basis to basis , there
is no ``hole" in the region of the -plane
above and on the line , whether the
bases are not complete incompatible bases or not.
Then we present that the KD nonclassicality of a state based on the DFT matrix
can be completely characterized by using the support uncertainty relation
, where and count the number of nonvanishing
coefficients in the basis and representations,
respectively. That is, a state is KD nonclassical if and only if
, whenever is prime or
not. That gives a positive answer to the conjecture in [Phys. Rev. Lett.
\textbf{127}, 190404 (2021)]
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