Exploring the sources of p-mode frequency shifts in the CoRoT target HD 49933

The oscillations of the solar-like star HD 49933 have been observed thoroughly by CoRot. Two dozens of frequency shifts, which are closely related with the change in magnetic activity, have been measured. To explore the effects of the magnetic activity on the frequency shifts, we calculate frequency shifts for the radial and $l=1$ p-modes of HD 49933 with the general variational method, which evaluates the shifts using a spatial integral of the product of a kernel and some sources. The theoretical frequency shifts well reproduce the observation. The magnitudes and positions of the sources are determined according to the ${\chi }^2$ criterion. We predict the source that contributes to both $l=0$ and $l=1$ modes is located at $0.48-0.62$Mm below the stellar surface. In addition, based on the assumption that $A_0$ is proportional to the change in the MgII activity index $\mathrm{\Delta }{i}_{MgII}$, we obtained that the change of MgII index between minimum and maximum of HD 49933 cycle period is about 0.665. The magnitude of the frequency shifts compared to the Sun already told us that HD 49933 is much more active than the Sun, which is further confirmed in this paper. Furthermore, our calculation on the frequency shifts of $l=1$ modes indicates the variation of turbulent velocity in the stellar convective zone may be an important source for the $l=1$ shifts.