Physics Department, Shiraz University, Shiraz 71454, Iran
Physic Department, Yasouj University, Yasouj, Iran
Physics Department, Payame $oor University, Jahrom, Iran
Department of Theoretical Physics, University of $ew South Wales, Sydney 2052, Australia
Following our previous presentation of a new three-fold symmetry for derivation of the magic numbers of nuclei based upon a quark state model of nuclei, here the nuclear binding energy is obtained from such new perspective. From this point of view, since each nucleon is made of three quarks, the binding energy of nuclei contains a volume term proportional to 3A (A is mass number). By considering the asymmetry in the number of up and down quarks and also coulomb correction, a new formula is presented that calculates the nuclear binding energy in terms of only $ and Z numbers for most of the stable nuclides.
PACS: 21.10.Dr, 21.90.+90, 21.10.-K, 12.38.Mh, 12.90.+b