Comparison of D to K0L pi and D to K0S pi Decay Rates

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We present preliminary measurements of D to K⁰ₗ pi and D to K⁰ₛ pi branching fractions using 281 pb⁻¹ of psi(3770) data at the CLEO-c experiment. We find that BF(D⁰ to KS pi⁰) is larger than BF(D⁰ to KL pi⁰), with an asymmetry of R(D⁰) = 0.122 +- 0.024 +- 0.030. For BF(D+ to KS pi+) and BF(D+ to KL pi+), we observe no measureable difference; the asymmetry is R(D+) = 0.030 +- 0.023 +- 0.025. Under reasonable theoretical assumptions, these measurements imply a value for the D⁰ to K+- pi-+ strong phase that is consistent with zero. The results presented in this document are preliminary.