Nuclear target effect on dark matter detection rate

Expected event rates for a number of dark matter nuclear targets were calculated in the effective low-energy minimal supersymmetric standard model, provided the lightest neutralino is the dark matter Weakly Interacting Massive Particle (WIMP). These calculations allow direct comparison of sensitivities of different dark matter detectors to intermediate mass WIMPs expected from the measurements of the DArk MAtter (DAMA) experiment.

Figure 1

Expected in ${}^{73}\mathrm{G}\mathrm{e}$ total $R(5,50)$, SI and SD event rates $R(5,50{)}_{\mathrm{SI}}$ and $R(5,50{)}_{\mathrm{SD}}$ (upper panel) as well as the ratio $R(5,50{)}_{\mathrm{SD}}/R(5,50{)}_{\mathrm{SI}}$ (lower left panel) as functions of WIMP mass. Correlations between the total rate $R(5,50)$ and the SD fraction in $R(5,50)$ is given in the lower middle panel. Correlations between the total rate $R(5,50)$ and the ratio $R(5,50{)}_{\mathrm{SD}}/R(5,50{)}_{\mathrm{SI}}$ is given in the lower right panel. Open symbols correspond to the WMAP constraint $0.094<{\Omega }_{\chi }{h}^2<0.129$. Closed symbols give rates with an extra DAMA constraint $1·{10}^{-7}\mathrm{pb}<{\sigma }_{\mathrm{SI}}^p<3·{10}^{-5}\mathrm{pb}$.

Figure 2

The same as in Fig. 1, but for ${\mathrm{CF}}_4$.

Figure 3

Ratios $R(5,50{)}_{{\mathrm{CF}}_4}/R(5,50{)}_{{}^{73}\mathrm{G}\mathrm{e}}$ of the total (top panel), SI (middle) and SD (bottom) rate as functions of WIMP mass. No relic density constraint is imposed in the left column. Open symbols in the right column correspond to the WMAP constraint $0.094<{\Omega }_{\chi }{h}^2<0.129$. Filled symbols give these ratios for the rates obtained with an extra DAMA SI constraint, $1·{10}^{-7}\mathrm{pb}<{\sigma }_{\mathrm{SI}}^p<3·{10}^{-5}\mathrm{pb}$.

Figure 4

Expected in the ${\mathrm{CH}}_4$ target the total $R(5,50)$, SI and SD event rates $R(5,50{)}_{\mathrm{SI}}$ and $R(5,50{)}_{\mathrm{SD}}$ (upper panel) as well as the ratio $R(5,50{)}_{\mathrm{SD}}/R(5,50{)}_{\mathrm{SI}}$ (lower left panel) as functions of WIMP mass. Correlations between the total rate $R(5,50)$ and the SD fraction in $R(5,50)$ is given in the lower middle panel. Correlations between the total rate $R(5,50)$ and the ratio $R(5,50{)}_{\mathrm{SD}}/R(5,50{)}_{\mathrm{SI}}$ is given in the lower right panel. Open symbols correspond to the WMAP constraint $0.094<{\Omega }_{\chi }{h}^2<0.129$. Closed symbols give rates with an extra DAMA SI constraint, $1·{10}^{-7}\mathrm{pb}<{\sigma }_{\mathrm{SI}}^p<3·{10}^{-5}\mathrm{pb}$.

Figure 5

The same as in Fig. 4, but for ${}^3\mathrm{H}\mathrm{e}$.

Figure 6

Ratios $R(5,50{)}_{{}^3\mathrm{H}\mathrm{e}}/R(5,50{)}_{{}^{73}\mathrm{G}\mathrm{e}}$ of the total (top panel), SI (middle) and SD (bottom) rate as functions of WIMP mass. No relic density constraint is imposed in the left column. Open symbols in the right column correspond to the WMAP constraint $0.094<{\Omega }_{\chi }{h}^2<0.129$. Filled symbols give these ratios for rates obtained with an extra DAMA SI constraint, $1·{10}^{-7}\mathrm{pb}<{\sigma }_{\mathrm{SI}}^p<3·{10}^{-5}\mathrm{pb}$.

Figure 7

Ratios $R(5,50{)}_{{\mathrm{CH}}_4}/R(5,50{)}_{{}^{73}\mathrm{G}\mathrm{e}}$ of the total (top panel), SI (middle) and SD (bottom) rate as functions of WIMP mass. No relic density constraint is imposed in the left column. Open symbols in the right column correspond to the WMAP constraint $0.094<{\Omega }_{\chi }{h}^2<0.129$. Filled symbols give these ratios for rates obtained with an extra DAMA SI constraint, $1·{10}^{-7}\mathrm{pb}<{\sigma }_{\mathrm{SI}}^p<3·{10}^{-5}\mathrm{pb}$.

Figure 8

The same as in Fig. 3, but for $\mathrm{NaI}$ and ${}^{73}\mathrm{G}\mathrm{e}$.

Figure 9

Variations of expected event rates, $R(5,50)$, for a number of targets followed from the DAMA-allowed cross sections ${\sigma }_{\mathrm{SD}}$ and ${\sigma }_{\mathrm{SI}}$. Targets with nonzero-spin nuclei from the odd-neutron (odd-proton) group model are given in the left (right) part of the figure.

Figure 10

Variations of expected spin-independent contributions to the event rate, $R(5,50{)}_{\mathrm{SI}}$, in a number of targets followed from the DAMA-allowed cross sections ${\sigma }_{\mathrm{SD}}$ and ${\sigma }_{\mathrm{SI}}$.

Figure 11

The same as in Fig. 10, but for the spin-dependent contributions $R(5,50{)}_{\mathrm{SD}}$.