(He-3,t) reaction on the double beta decay nucleus Ca-48 and the importance of nuclear matrix elements

High-resolution (He-3,t) measurements on the double beta-decay (beta beta) nucleus Ca-48 have been performed at RCNP (Osaka, Japan) to determine Gamow-Teller (GT(-)) transitions to the nucleus Sc-48, which represents the intermediate nucleus in the second-order perturbative description of the beta beta decay. At a bombarding energy of (EHe)-He-3=420 MeV an excitation energy resolution of 40 keV was achieved. The measurements were performed at two angle positions of the Grand Raiden Spectrometer (GRS): 0(degrees) and 2.5(degrees). The results of both settings were combined to achieve angular distributions, by which the character of single transitions could be determined. To characterize the different multipoles, theoretical angular distributions for states with J(pi)=1(+),2(+),2(-), and 3(+) were calculated using the distorted-wave Born approximation (DWBA) Code DW81. The GT(-) strength was extracted up to E-x=7 MeV and combined with corresponding GT(+) strength deduced from the Ti-48(d,He-2)Sc-48 data to calculate the low-energy part of the beta beta-decay matrix element for the Ca-48 2 nu beta beta decay. We show that after applying trivial momentum corrections to the (He-3,t) spectrum, the two reaction probes, (p,n) and (He-3,t) reveal a spectral response to an impressively high degree of similarity in the region of low momentum transfer