We explore the scaling relation between the flux of the Sunyaev-Zel ’ dovich ( SZ ) effect and the total mass of galaxy clusters using already reduced Chandra X-ray data present in the ACCEPT ( Archive of Chandra Cluster Entropy Profile Tables ) catalogue . The analysis is conducted over a sample of 226 objects , examining the relatively small scale corresponding to a cluster overdensity equal to 2500 times the critical density of the background universe , at which the total masses have been calculated exploiting the hydrostatic equilibrium hypothesis . Core entropy ( K _ { 0 } ) is strongly correlated with the central cooling time , and is therefore used to identify cooling-core ( CC ) objects in our sample . Our results confirm the self-similarity of the scaling relation between the integrated Comptonization parameter ( Y ) and the cluster mass , for both CC and NCC ( non-cooling-core ) clusters . The consistency of our calibration with recent ones has been checked , with further support for Y as a good mass proxy . We also investigate the robustness of the constant gas fraction assumption , for fixed overdensity , and of the Y _ { X } proxy ( 18 ) considering CC and NCC clusters , again sorted on K _ { 0 } from our sample . We extend our study to implement a K _ { 0 } -proxy , obtained by combining SZ and X-ray observables , which is proposed to provide a CC indicator for higher redshift objects . Finally , we suggest that an SZ-only CC indicator could benefit from the employment of deprojected Comptonization radial profiles .