Ternary fission of No in collinear configuration

We investigate the collinear ternary fission of the ²⁶⁰No isotope. The calculations are performed in the framework of the three cluster model for all possible accompanied light particles of even mass numbers A=4−52$\text{A}=4-52$. The folding nuclear and Coulomb interaction potentials are used, based on the M3Y-Reid nucleon–nucleon force for the nuclear part. The deformation of the involved fragments and their relative orientations with respect to each other inside the fissioning nuclei are considered. Among all possible fragmentation channels, the suggested most probable channels are indicated as the ones showing a peak in the Q-value and a local minimum in the fragmentation potential, with respect to the mass and charge asymmetries. The indicated favored fragmentation channels from the approximate spherical calculations and those obtained after considering the deformations of the produced fragments are discussed in detail. In addition to the preferred heavy fragments of closed shells, favored prolate ones of high deformations appear when the nuclear deformations are taken into account. Among indicated fifty six favored channels, a collinear ternary fission of the ²⁶⁰No isotope is indicated to be most favored through the fragmentation channels of ¹⁵⁰₅₈Ce+₄¹⁰Be+₄₀¹⁰⁰Zr,₆₀¹⁵²Nd+₄¹²Be+₃₈⁹⁶Sr,₅₈¹⁵⁰Ce+₆¹⁴C+₃₈⁹⁶Sr,₅₈¹⁴⁸Ce+₆¹⁶C+₃₈⁹⁶Sr,₅₄¹⁴⁰Xe+₈²²O+₄₀⁹⁸Zr,₄₂¹⁰⁶Mo+₁₈⁴⁸Ar+₄₂¹⁰⁶Mo and ₄₁¹⁰⁴Nb+₂₀⁵²Ca+₄₁¹⁰⁴Nb.