arXiv subjects

P. Figueroa

Publications and source records attributed to P. Figueroa.

3 recordsLinked to original sources

arXiv2024

Dark Matter-Electron Scattering Search Using Cryogenic Light Detectors

The CSC (cryogenic scintillating calorimeter) technology devoted to rare event searches is reaching the sensitivity level required for the hunt of dark matter-electron scatterings. Dark matter-electron interactions in scintillating targets are expected to stimulate the emission of single photons, each of energy equal to the target electronic band gap. The electronic band gap in scintillators like NaI/GaAs is of O(eV). The search for this signal can be done by an array of cryogenic light detectors with eV/sub-eV energy resolution. In this work, we describe the detection principle, the detector response and the envisioned detector design to search for dark matter interacting with electrons via the measurement of the scintillation light at millikelvin. First sensitivity projections are provided, which show the potential of this research.

hep-ph↗

arXiv2021

On a Poincaré-Perron problem for high order differential equation

We address asymptotic formulae for the classical Poincaré-Perron problem of linear differential equations with almost constant coefficients in a half line $[t_0,+\infty)$ for high order equation $n\ge 5$ and some $t_0\in\mathbb{R}$. By using a scalar nonlinear differential equation of Riccati type of order $n-1$, we recover Poincaré's and Perron's results and provide asymptotic formulae with the aid of Bell's polynomials. Furthermore, we obtain some weaker versions of Levinson, Hartman-Wintner and Harris-Lutz type Theorems without the usual diagonalization process. For an arbitrary $n\ge 5$, these are corresponding versions to known results for cases $n=2,3$ and $4$.

math.CA↗

arXiv2020

A note on a sinh-Poisson type equation with variable intensities on pierced domains

We consider a sinh-Poisson type equation with variable intensities and Dirichlet boundary condition on a pierced domain \begin{equation*} \left\{ \begin{array}{ll} Δu +ρ\left(V_1(x)e^{u}- V_2(x)e^{-τu}\right)=0 &\text{in } Ω_ε:=Ω\setminus \displaystyle \bigcup_{i=1}^m \overline{B(ξ_i,ε_i)}\\ u=0&\text{on }\partialΩ_ε, \end{array}\right. \end{equation*} where $ρ>0$, $V_1,V_2>0$ are smooth potentials in $Ω$, $τ>0$, $Ω$ is a smooth bounded domain in $\mathbb{R}^2$ and $B(ξ_i,ε_i)$ is a ball centered at $ξ_i\in Ω$ with radius $ε_i>0$, $i=1,\dots,m$. When $ρ>0$ is small enough and $m_1\in \{1,\dots,m-1\}$, there exist radii $ε=(ε_1,\dots,ε_m)$ small enough such that the problem has a solution which blows-up positively at the points $ξ_1,\dots,ξ_{m_1}$ and negatively at the points $ξ_{m_1+1},\dots,ξ_{m}$ as $ρ\to 0$. The result remains true in cases $m_1=0$ with $V_1\equiv 0$ and $m_1=m$ with $V_2\equiv 0$, which are Liouville type equations.

math.AP↗