The (d,2He) reaction onSe76and the double-β-decay matrix elements forA=76
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Abstract
The $(d,{}^{2}\mathrm{He})$ charge-exchange reaction on $^{76}\mathrm{Se}$ was studied at an incident energy of 183 MeV. The outgoing two protons in the ${}^{1}{S}_{0}$ state, referred to as $^{2}\mathrm{He}$, were both momentum analyzed and detected by the same spectrometer and detector. The experiment was performed at KVI, Groningen, using the magnetic spectrometer BBS at three angular positions: ${0}^{\ifmmode^\circ\else\textdegree\fi{}},2.{5}^{\ifmmode^\circ\else\textdegree\fi{}}$, and ${5}^{\ifmmode^\circ\else\textdegree\fi{}}$. Excitation-energy spectra of the residual nucleus $^{76}\mathrm{As}$ were obtained with an energy resolution of about 120 keV (FWHM). Gamow-Teller (${\mathrm{GT}}^{+}$) transition strengths were extracted up to 5 MeV and compared with those from an $(n,p)$ experiment at low resolution. Together with the ${\mathrm{GT}}^{\ensuremath{-}}$ transition strengths from the ${}^{76}\mathrm{Ge}(p,n)$ experiment leading to the same intermediate nucleus, the nuclear matrix element of the two-neutrino double-$\ensuremath{\beta}$ decay of $^{76}\mathrm{Ge}$ was evaluated.
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