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In this paper, we propose probability models for performance analysis of the slotted nonpersistent CSMA protocol in wireless networks with multiple packet reception. Variants of the CSMA protocol are well-known and play important roles in medium access control. Most of the previous works on CSMA use the conventional (0, 1, e) channel model, which prohibits an access point from concurrently receiving multiple packets from distinct nodes. In this paper, we use the Poisson random traffic model to study the performance of the slotted nonpersistent CSMA protocol when the access point could simultaneously receive two or more packets from different nodes in wireless access networks. We show that in terms of the network throughput, our analytical results are consistent with simulation results.