Helium Variation Across Two Solar Cycles Reveals A Speed-Dependent Phase Lag

We study the relationship between solar wind helium to hydrogen abundance ratio ($A_mathrm{He}$), solar wind speed ($v_mathrm{SW}$), and sunspot number (SSN) over solar cycles 23 and 24. This is the first full 22-year Hale cycle measured with the Wind spacecraft covering a full cycle of the solar dynamo with two polarity reversals. While previous studies have established a strong correlation between $A_mathrm{He}$ and SSN, we show that the phase delay between $A_mathrm{He}$ and SSN is a monotonic increasing function of $v_mathrm{SW}$. Correcting for this lag, $A_mathrm{He}$ returns to the same value at a given SSN over all rising and falling phases and across solar wind speeds. We infer that this speed-dependent lag is a consequence of the mechanism that depletes slow wind $A_mathrm{He}$ from its fast wind value during solar wind formation.