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Measurement of the 2$ ubetabeta$ Decay Half-life of $^{130}$Te with CUORE

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 Publication date 2020
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We measured two-neutrino double beta decay of $^{130}$Te using an exposure of 300.7 kg$cdot$yr accumulated with the CUORE detector. Using a Bayesian analysis to fit simulated spectra to experimental data, it was possible to disentangle all the major background sources and precisely measure the two-neutrino contribution. The half-life is in agreement with past measurements with a strongly reduced uncertainty: $T^{2 u}_{1/2} = 7.71^{+0.08}_{-0.06}mathrm{(stat.)}^{+0.12}_{-0.15}mathrm{(syst.)}times10^{20}$ yr. This measurement is the most precise determination of the $^{130}$Te 2$ ubetabeta$ decay half-life to date.

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We report on the measurement of the two-neutrino double beta decay half-life of $^{130}$Te with the CUORE-0 detector. From an exposure of 33.4 kg$cdot$y of TeO$_2$, the half-life is determined to be $T_{1/2}^{2 u}$ = [8.2 $pm$ 0.2 (stat.) $pm$ 0.6 (syst.)] $times$ 10$^{20}$y. This result is obtained after a detailed reconstruction of the sources responsible for the CUORE-0 counting rate, with a specific study of those contributing to the $^{130}$Te neutrinoless double beta decay region of interest.
The CUORE experiment, a ton-scale cryogenic bolometer array, recently began operation at the Laboratori Nazionali del Gran Sasso in Italy. The array represents a significant advancement in this technology, and in this work we apply it for the first time to a high-sensitivity search for a lepton-number--violating process: $^{130}$Te neutrinoless double-beta decay. Examining a total TeO$_2$ exposure of 86.3 kg$cdot$yr, characterized by an effective energy resolution of (7.7 $pm$ 0.5) keV FWHM and a background in the region of interest of (0.014 $pm$ 0.002) counts/(keV$cdot$kg$cdot$yr), we find no evidence for neutrinoless double-beta decay. The median statistical sensitivity of this search is $7.0times10^{24}$ yr. Including systematic uncertainties, we place a lower limit on the decay half-life of $T^{0 u}_{1/2}$($^{130}$Te) > $1.3times 10^{25}$ yr (90% C.L.). Combining this result with those of two earlier experiments, Cuoricino and CUORE-0, we find $T^{0 u}_{1/2}$($^{130}$Te) > $1.5times 10^{25}$ yr (90% C.L.), which is the most stringent limit to date on this decay. Interpreting this result as a limit on the effective Majorana neutrino mass, we find $m_{betabeta}<(110 - 520)$ meV, where the range reflects the nuclear matrix element estimates employed.
We report the results of a search for neutrinoless double-beta decay in a 9.8~kg$cdot$yr exposure of $^{130}$Te using a bolometric detector array, CUORE-0. The characteristic detector energy resolution and background level in the region of interest are $5.1pm 0.3{rm~keV}$ FWHM and $0.058 pm 0.004,(mathrm{stat.})pm 0.002,(mathrm{syst.})$~counts/(keV$cdot$kg$cdot$yr), respectively. The median 90%~C.L. lower-limit sensitivity of the experiment is $2.9times 10^{24}~{rm yr}$ and surpasses the sensitivity of previous searches. We find no evidence for neutrinoless double-beta decay of $^{130}$Te and place a Bayesian lower bound on the decay half-life, $T^{0 u}_{1/2}>$~$ 2.7times 10^{24}~{rm yr}$ at 90%~C.L. Combining CUORE-0 data with the 19.75~kg$cdot$yr exposure of $^{130}$Te from the Cuoricino experiment we obtain $T^{0 u}_{1/2} > 4.0times 10^{24}~mathrm{yr}$ at 90%~C.L.~(Bayesian), the most stringent limit to date on this half-life. Using a range of nuclear matrix element estimates we interpret this as a limit on the effective Majorana neutrino mass, $m_{betabeta}< 270$ -- $760~mathrm{meV}$.
We report on a search for double beta decay of $^{130}$Te to the first $0^{+}$ excited state of $^{130}$Xe using a 9.8 kg$cdot$yr exposure of $^{130}$Te collected with the CUORE-0 experiment. In this work we exploit different topologies of coincident events to search for both the neutrinoless and two-neutrino double-decay modes. We find no evidence for either mode and place lower bounds on the half-lives: $tau^{0 u}_{0^+}>7.9cdot 10^{23}$ yr and $tau^{2 u}_{0^+}>2.4cdot 10^{23}$ yr. Combining our results with those obtained by the CUORICINO experiment, we achieve the most stringent constraints available for these processes: $tau^{0 u}_{0^+}>1.4cdot 10^{24}$ yr and $tau^{2 u}_{0^+}>2.5cdot 10^{23}$ yr.
The NEMO-3 experiment measured the half-life of the $2 ubetabeta$ decay and searched for the $0 ubetabeta$ decay of $^{116}$Cd. Using $410$ g of $^{116}$Cd installed in the detector with an exposure of $5.26$ y, ($4968pm74$) events corresponding to the $2 ubetabeta$ decay of $^{116}$Cd to the ground state of $^{116}$Sn have been observed with a signal to background ratio of about $12$. The half-life of the $2 ubetabeta$ decay has been measured to be $ T_{1/2}^{2 u}=[2.74pm0.04mbox{(stat.)}pm0.18mbox{(syst.)}]times10^{19}$ y. No events have been observed above the expected background while searching for $0 ubetabeta$ decay. The corresponding limit on the half-life is determined to be $T_{1/2}^{0 u} ge 1.0 times 10^{23}$ y at the $90$ % C.L. which corresponds to an upper limit on the effective Majorana neutrino mass of $langle m_{ u} rangle le 1.4-2.5$ eV depending on the nuclear matrix elements considered. Limits on other mechanisms generating $0 ubetabeta$ decay such as the exchange of R-parity violating supersymmetric particles, right-handed currents and majoron emission are also obtained.
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