# Dark Matter Detection

### Problem 1

Estimate the WIMPs' flow onto the Earth's surface.

### Problem 2

What are the main processes due to which the WIMPs can be detected?

### Problem 3

Show that WIMPs of mass $\sim100GeV$ being elastically scattered on Xenon nuclei with mass $\sim130GeV$ lead to energy recoil $\le40keV$.

### Problem 4

Show that the WIMPs' elastic scattering experiments will be most efficient if the target nuclei's mass is comparable with the WIMPs' mass.

### Problem 5

Determine the minimum velocity of WIMPs that can transmit energy $Q$ to a nucleus with mass $m_N$.

### Problem 6

Estimate the count rate for the detector registering elastic events of WIMPs.

### Problem 7

Obtain the expression for the count rate of the detector registering elastic events of WIMPs.

### Problem 8

Reconstruct the one-dimensional WIMPs' velocities distribution $f_1(v)$ (see the previous problem) basing on the given count rate of the elastic events.

### Problem 9

Construct a model-independent scheme for WIMPs' mass determination using the results of WIMPs' elastic scattering events detection for two or more sets of experimental data with detectors of different composition.

### Problem 10

Show that if a WIMP has the mass of the order $100GeV$ and velocity of the order of $300km/s$, then it coherently interacts with nucleons of a detector nuclei.

### Problem 11

Find the total WIMP-nucleus cross-section determining the elastic events' count rate.

### Problem 12

How will the number of counts for the elastic events detector be affected by transition to heavier target nuclei at fixed detector mass?

### Problem 13

Show that if the WIMPs' mass is of the order of $100GeV$ then the elastic spin-independent cross-section for WIMPs on a nucleus with $A\sim100$ is eight orders of magnitude larger then the corresponding cross-section on a nucleon

### Problem 14

Estimate the annual modulations' amplitude of the WIMPs elastic scattering cross-section.

### Problem 15

Estimate the diurnal modulations' amplitude of the WIMPs elastic scattering cross-section.