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We report the first results of ab initio relativistic correlation calculationof the effective electric field on the electron, E_eff, in the ground state ofthe HI$^+$ cation. This value is required for interpretation of the suggestedexperiment on search for the electron electric dipole moment. The generalizedrelativistic effective core potential, Fock-space relativistic coupled clusterwith single and double cluster amplitudes and spin-orbit direct configurationinteraction methods are used, followed by nonvariational one-center restorationof the four-component wavefunction in the iodine core. The calculated value ofE_eff by the coupled cluster method is E_eff=0.345\times 10^{24}Hz/e*cm.Configuration interaction study gives E_eff=0.336\times 10^{24}Hz/e*cm (ourfinal value). The structure of chemical bonding and contributions to E_eff inHI$^+$ is clarified and significant deviation of our value from that obtainedin Ravaine etal Phys.Rev.Lett., 94, 013001 (2005) is explained.Comment: 5 pages, submitted to Phys.Rev.Letters. Values of E_eff, A_\parallel  and EQq_0 in HI+ calculated by restricted AGRECP/SCF/NOCR added of MS. We  have also added data on the hyperfine coupling constant of the proton to  molecular axis. Some typographyc errors are correcte

physical review letters

In Search of the Electron Electric Dipole Moment: Relativistic Correlation Calculations of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>P</mml:mi><mml:mo>,</mml:mo><mml:mi>T</mml:mi></mml:math>-Violating Effect in the Ground State of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>HI</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:math>

In Search of the Electron Electric Dipole Moment: Relativistic Correlation Calculations of theP,T-Violating Effect in the Ground State ofHI+