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We present the first spectroscopic abundance determination of iron,alpha-elements (Si, Ca and Ti) and sodium for the Mira variable V1 in themetal-rich globular cluster NGC 5927. We use high-resolution (R~ 28,000), highsignal-to-noise ratio (~200) spectra collected with WINERED, a near-infrared(NIR) spectrograph covering simultaneously the wavelength range 0.91--1.35micron. The effective temperature and the surface gravity at the pulsationphase of the spectroscopic observation were estimated using both optical (V)and NIR time-series photometric data. We found that the Mira is metal-rich([Fe/H]=-0.55 \pm 0.15) and moderately alpha-enhanced ([alpha/Fe]=0.15 \pm0.01, sigma=0.2). These values agree quite well with the mean clusterabundances based on high-resolution optical spectra of several cluster redgiants available in the literature ([Fe/H]=-0.47 \pm 0.06, [alpha/Fe]=+0.24 \pm0.05). We also found a Na abundance of +0.35 \pm 0.20 that is higher than themean cluster abundance based on optical spectra (+0.18 \pm 0.13). However, thelack of similar spectra for cluster red giants and that of corrections fordepartures from local-thermodynamical equilibrium prevents us from establishingwhether the difference is intrinsic or connected with multiple populations.These findings indicate a strong similarity between optical and NIR metallicityscales in spite of the difference in the experimental equipment, data analysisand in the adopted spectroscopic diagnostics.

On the chemical abundances of Miras in clusters: V1 in the metal-rich globular NGC 5927