Nuclear deformation and neutrinoless double-$β $ decay of $^94,96$Zr, $^98,100$Mo, $^104$Ru, $^110$Pd, $^128,130$Te and $^150$Nd nuclei in mass mechanism TeX

@article{citeulike:3661962, abstract = {The \$(\beta ^{-}\beta ^{-})\_{0\nu}\$ decay of \$^{94,96}\$Zr, \$^{98,100}\$Mo, \$^{104}\$Ru, \$^{110}\$Pd, \$^{128,130}\$Te and \$^{150}\$Nd isotopes for the \$0^{+}\to 0^{+}\$ transition is studied in the Projected Hartree-Fock-Bogoliubov framework. In our earlier work, the reliability of HFB intrinsic wave functions participating in the \$\beta ^{-}\beta ^{-}\$ decay of the above mentioned nuclei has been established by obtaining an overall agreement between the theoretically calculated spectroscopic properties, namely yrast spectra, reduced \$B(E2\$:\$0^{+}\to 2^{+})\$ transition probabilities, quadrupole moments \$Q(2^{+})\$, gyromagnetic factors \$g(2^{+})\$ as well as half-lives \$T\_{1/2}^{2\nu}\$ for the \$0^{+}\to 0^{+}\$ transition and the available experimental data. In the present work, we study the \$(\beta ^{-}\beta ^{-})\_{0\nu}\$ decay for the \$0^{+}\to 0^{+}\$ transition in the mass mechanism and extract limits on effective mass of light as well as heavy neutrinos from the observed half-lives \$T\_{1/2}^{0\nu}(0^{+}\to 0^{+})\$ using nuclear transition matrix elements calculated with the same set of wave functions. Further, the effect of deformation on the nuclear transition matrix elements required to study the \$(\beta ^{-}\beta ^{-})\_{0\nu}\$ decay in the mass mechanism is investigated. It is noticed that the deformation effect on nuclear transition matrix elements is of approximately same magnitude in \$(\beta ^{-}\beta ^{-})\_{2\nu}\$ and \$(\beta ^{-}\beta ^{-})\_{0\nu}\$ decay.}, archivePrefix = {arXiv}, author = {Chaturvedi, K. and Chandra, R. and Rath, P. K. and Raina, P. K. and Hirsch, J. G.}, citeulike-article-id = {3661962}, eprint = {0805.4073}, keywords = {bb0nu}, month = {Oct}, posted-at = {2008-11-22 13:01:06}, priority = {2}, title = {Nuclear deformation and neutrinoless double-\$\beta \$ decay of \$^{94,96}\$Zr, \$^{98,100}\$Mo, \$^{104}\$Ru, \$^{110}\$Pd, \$^{128,130}\$Te and \$^{150}\$Nd nuclei in mass mechanism}, url = {http://arxiv.org/abs/0805.4073}, year = {2008} }

TY - JOUR ID - citeulike:3661962 L3 - citeulike-article-id:3661962 N2 - The $(\beta ^{-}\beta ^{-})_{0\nu}$ decay of $^{94,96}$Zr, $^{98,100}$Mo, $^{104}$Ru, $^{110}$Pd, $^{128,130}$Te and $^{150}$Nd isotopes for the $0^{+}\to 0^{+}$ transition is studied in the Projected Hartree-Fock-Bogoliubov framework. In our earlier work, the reliability of HFB intrinsic wave functions participating in the $\beta ^{-}\beta ^{-}$ decay of the above mentioned nuclei has been established by obtaining an overall agreement between the theoretically calculated spectroscopic properties, namely yrast spectra, reduced $B(E2$:$0^{+}\to 2^{+})$ transition probabilities, quadrupole moments $Q(2^{+})$, gyromagnetic factors $g(2^{+})$ as well as half-lives $T_{1/2}^{2\nu}$ for the $0^{+}\to 0^{+}$ transition and the available experimental data. In the present work, we study the $(\beta ^{-}\beta ^{-})_{0\nu}$ decay for the $0^{+}\to 0^{+}$ transition in the mass mechanism and extract limits on effective mass of light as well as heavy neutrinos from the observed half-lives $T_{1/2}^{0\nu}(0^{+}\to 0^{+})$ using nuclear transition matrix elements calculated with the same set of wave functions. Further, the effect of deformation on the nuclear transition matrix elements required to study the $(\beta ^{-}\beta ^{-})_{0\nu}$ decay in the mass mechanism is investigated. It is noticed that the deformation effect on nuclear transition matrix elements is of approximately same magnitude in $(\beta ^{-}\beta ^{-})_{2\nu}$ and $(\beta ^{-}\beta ^{-})_{0\nu}$ decay. TI - Nuclear deformation and neutrinoless double-$\beta $ decay of $^{94,96}$Zr, $^{98,100}$Mo, $^{104}$Ru, $^{110}$Pd, $^{128,130}$Te and $^{150}$Nd nuclei in mass mechanism KW - bb0nu AU - Chaturvedi, K AU - Chandra, R AU - Rath, PK AU - Raina, PK AU - Hirsch, JG PY - 2008/Oct/13/ UR - http://arxiv.org/abs/0805.4073 ER -