Abstract The XENON1T excess of keV electron recoil events may be induced by the scattering electrons and long-lived particles with an MeV mass high speed. We consider a tangible model composed two scalar dark matter (DM) particles, S_B , to interpret via boosted . A small splitting m_{S_A}-m_{S_B}\gt{0} is introduced, can produced using annihilation process S_A^\dagger \to \ph...

Motivated by a recent study of Bessel operators in connection with refinement Hardy's inequality involving $ 1/\sin^2(x) on the finite interval (0, \pi) $, we now take closer look at underlying Bessel-type more general inverse square singularities endpoints. More precisely, consider quadratic forms and operator realizations L^2((a, b); dx) associated differential expressions form \begin{documen...

in this paper we prove a unique common coupled fixed point theorem for two pairs of $w$-compatible mappings in $s_b$-metric spaces satisfying a contrctive type condition. we furnish an example to support our main theorem. we also give a corollary for junck type maps.

We study Bailey pairs construction for hyperbolic hypergeometric integral identities acquired via the duality of lens partitions functions three-dimensional $\mathcal N=2$ supersymmetric gauge theories on $S_b^3/\mathbb{Z}_r$. The novel are constructed star-triangle relation, star-star relation and pentagon identity. first two them integrability conditions Ising-type integrable lattice models. ...

In this paper is introduced a new type of generalization of metric spaces called $S_b$ metric space. For this new kind of spaces it has been proved a common fixed point theorem for four mappings which satisfy generalized contractive condition. We also present example to confirm our theorem.

In this paper we prove a unique common coupled fixed point theorem for two pairs of $w$-compatible mappings in $S_b$-metric spaces satisfying a contrctive type condition. We furnish an example to support our main theorem. We also give a corollary for Junck type maps.

We investigate the distortion of Assouad dimension and spectrum under Euclidean quasiconformal maps. Our results complement existing conclusions for Hausdorff box-counting due to Gehring–Väisälä others. As an application, we classify polynomial spirals S a : = { x − e i > 0 } $S_a:=\lbrace x^{-a}e^{{\mathbf {i}} x}:x>0\rbrace$ up equivalence, level dilatation. Specifically, b $a>b>0$ show that ...