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Employing the projected-Hartree-Fock-Bogoliubov (PHFB) model in conjunctionwith four different parametrizations of pairing plus multipolar effective twobody interaction and three different parametrizations of Jastrow short rangecorrelations, nuclear transition matrix elements for the neutrinolessdouble-$\beta $ decay of $^{94,96}$Zr, $^{100}$Mo, $^{110}$Pd, $^{128,130}$Teand $^{150}$Nd isotopes are calculated within mechanisms involving lightMajorana neutrino mass and right handed current. Statistically, model specificuncertainties in sets of twelve nuclear transition matrix elements areestimated by calculating the averages along with the standard deviations. Forthe considered nuclei, \ the most stringent extracted on-axis limits on theeffective light Majorana neutrino mass $<m_{\nu }>$, the effective weakcoupling of right-handed leptonic current with right-handed hadronic current$<\lambda >$, and the effective weak coupling of right-handed leptonic currentwith left-handed hadronic current $<\eta >$ \ from the observed limit onhalf-life $T_{1/2}^{0\nu }$ of $^{130}$Te isotope are $0.33$ eV, $4.57\times10^{-7}$ and $4.72\times 10^{-9}$, respectively.

international journal of modern physics e

Nuclear transition matrix elements for neutrinoless double-$\beta$ decay  within mechanisms involving light Majorana neutrino mass and right-handed  current