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We construct a sample of 70 clusters using data from XMM-Newton and Planck toinvestigate the $Y_{\rm SZ,Planck}-Y_{\rm SZ, XMM}$ scaling relation and thecool-core influences on the relation. $Y_{\rm SZ,XMM}$ is calculated byaccurate de-projected temperature and electron number density profiles derivedfrom XMM-Newton. $Y_{\rm SZ,Planck}$ is the latest Planck data restricted toour precise X-ray size $\theta_{\rm 500}$. To study the cool-core influenceson$Y_{\rm SZ,Planck}-Y_{\rm SZ, XMM}$ scaling relation, we apply two criteria,limits of central cooling time and classic mass deposition rate, to distinguishcool-core clusters (CCCs) from non-cool-core clusters (NCCCs). We also use$Y_{\rm SZ,Planck}$ from other papers, which are derived from differentmethods, to confirm our results.  The intercept and slope of the$Y_{\rm SZ,Planck}-Y_{\rm SZ, XMM}$ scalingrelation are $A=-0.86 \pm 0.30$, $B=0.83 \pm 0.06$. The intrinsic scatter is$\sigma_{\rm ins}= 0.14 \pm 0.03$. The ratio of \mbox{$Y_{\rm SZ,Planck}/Y_{\rmSZ, XMM}$} is $1.03 \pm 0.05$, which is perfectly agreed with unity.Discrepancies of $Y_{\rm SZ,Planck}-Y_{\rm SZ, XMM}$ scaling relation betweenCCCs and NCCCs are found in observation. They are independent of cool-coreclassification criteria and $Y_{\rm SZ,Planck}$ calculation methods, althoughdiscrepancies are more significant under the classification criteria of classicmass deposition rate. The intrinsic scatter of CCCs (0.04) is quite smallcompared to that of NCCCs (0.27). The ratio of $Y_{\rm SZ,Planck}/Y_{\rm SZ,XMM}$ for CCCs is $0.89 \pm 0.05$, suggesting that CCCs' $Y_{\rm SZ,XMM}$ mayoverestimate SZ signal. By contrast, the ratio of $Y_{\rm SZ,Planck}/Y_{\rm SZ,XMM}$ for NCCCs is $1.14 \pm 0.12$, which indicates that NCCCs' $Y_{\rmSZ,XMM}$ may underestimate SZ signal.

The $\rm{Y_{SZ,Planck} - Y_{SZ,XMM}}$ scaling relation and its difference between cool-core and non-cool-core clusters