We study two-neutrino ($2\nu\beta\beta$) and neutrinoless double-$\beta$ ($0\nu\beta\beta$) decays in the nuclear shell model proton-neutron quasiparticle random-phase approximation (pnQRPA) frameworks. Calculating decay half-life of several dozens nuclei ranging from calcium to xenon with model, $\beta\beta$ emitters a wide range pairing strengths pnQRPA, we observe good linear correlations be...

The CUORE experiment is a large bolometric array searching for the lepton number violating neutrino-less double beta decay ($0\nu\beta\beta$) in isotope $\mathrm{^{130}Te}$. In this work we present latest results on two searches (DBD) of $\mathrm{^{130}Te}$ to first $0^{+}_2$ excited state $\mathrm{^{130}Xe}$: $0\nu\beta\beta$ and Standard Model-allowed two-neutrinos ($2\nu\beta\beta$). Both ar...

inthis paper, the main aim is to introduce the class $mathcal{u}_p(lambda,alpha,beta,k_0)$ of $p$-harmonic mappings togetherwith its subclasses $mathcal{u}_p(lambda,alpha,beta,k_0)capmathcal {t}_p$ and $mathcal{u}_p(lambda,alpha,beta,k_0)capmathcal {t}_p^0$, andinvestigate the properties of the mappings in these classes. first,we give a sufficient condition for mappings to be in $mathcal{u}_p(l...

We consider the punctured plane with volume density $|x|^\alpha$ and perimeter $|x|^\beta$. show that centred balls are uniquely isoperimetric for indices $(\alpha,\beta)$ which satisfy conditions $\alpha-\beta+1>0$, $\alpha\leq 2\beta$ $\alpha(\beta+1)\leq\beta^2$ except in case $\alpha=\beta=0$ corresponds to classical inequality.