Shell model nuclear matrix elements for doubleβdecay

Abstract

The nuclear matrix elements for the Ge~' Se, ' Se~Kr, ' Se~' Kr, and ' Kr~' Sr double p decay were calculated in a shell-model space consisting of the Og9/2 1P,&2, lp3&2, and Ofsqz orbitals for both protons and neutrons, and using an effective interaction that contained secondorder corrections. For light intermediate neutrinos our results are in agreement with the previously available Los Alamos matrix elements. We have, however, obtained nuclear matrix elements relevant for intermediate heavy neutrinos, Higgs bosons, and supersymmetric particles. Using these matrix elements and the available experimental limits for neutrinoless double p decay, we obtained the following mass limits:~(m, )~&1.1 eV, ((1/MN)) '&1.0X10' GeV, m &740 GeV, and m, & 360 GeV for the light left-handed and heavy right-handed neutrinos, the squark, and the selectron, respectively. We also obtained the limits~g~&4)&10 ' and r)&1.3x10 for the majoron neutrino coupling and the admixture of right-handed currents, respectively.

0νββ decays and shell model wave functions ofGe76andSeWu1, Cl2, Song3 1993Phys. Rev. C2050View full textAdd to dashboardCite

“…This result is consistent with the calculations in QRPA approach [6 -8] and in the weak coupling approximation [12]. Our result on Se OvP/3 decay is comparable with Ref.…”

“…Usually, an assumption of weak coupling between the proton and neutron systems is used to truncate the huge model space to a practicable one [1,12]. Besides, the closure approximation has been assumed to be good in the Ov/3P decay, which is verified by Refs.…”

“…NUCLEAR MATRIX ELEMENTS (12) Y(r)=r 'e " = -Yi(r) . (10) To compute the nuclear matrix elements, we need to know the reliable nuclear wave functions.…”

Effect of nucleon correlation in the 0νββ decay ofGe76andSeWu1 1994Phys. Rev. C2010View full textAdd to dashboardCite

“…This result is consistent with the calculation of Refs. [1,15,16]. For s2Se OvPP decay, our result also is comparable with Refs.…”

Electromagnetic decay strengths in the isobars89Nb,89Mo and89Tc

“…Further details on the parameters used are given, for example, in [6,8]. The alternative approach by Sinatkas and coworkers [20] has not been pursued in this…”