Studies of micro time projection chambers using negative ion gas (NI$\mu$TPC) are conducted especially for direction-sensitive dark matter searches. A NI$\mu$TPC enables to measure the absolute position in the drift direction for self-triggering TPCs. This study provides a development of a NI$\mu$TPC using a micro pixel chamber ($\mu$-PIC) with dedicated readout electronics, and an evaluation of the capability of three-dimensional absolute position reconstruction of nuclear recoil using a neutron source. The absolute track position was reconstructed throughout the drift volume with an efficiency of 70$\pm$5%. This work marks an important step for the NI$\mu$TPCs towards the practical use for directional dark matter searches.
Comment: 11 pages, 10 figures, submitted to PTEP