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We propose a method to calculate the two-dimensional (2D) fission-fragmentyield $Y(Z,N)$ versus both proton and neutron number, with inclusion ofodd-even staggering effects in both variables. The approach is to use Brownianshape-motion on a macroscopic-microscopic potential-energy surface which, for aparticular compound system is calculated versus four shape variables:elongation (quadrupole moment $Q_2$), neck $d$, left nascent fragmentspheroidal deformation $\epsilon_{\rm f1}$, right nascent fragment deformation$\epsilon_{\rm f2}$ and two asymmetry variables, namely proton and neutronnumbers in each of the two fragments. The extension of previous models 1)introduces a method to calculate this generalized potential-energy function and2) allows the correlated transfer of nucleon pairs in one step, in addition tosequential transfer. In the previous version the potential energy wascalculated as a function of $Z$ and $N$ of the compound system and its shape,including the asymmetry of the shape. We outline here how to generalize themodel from the "compound-system" model to a model where the emerging fragmentproton and neutron numbers also enter, over and above the compound systemcomposition.

european physical journal. a, hadrons and nuclei

A Method to Calculate Fission-Fragment Yields $Y(Z,N)$ versus Proton and  Neutron Number in the Brownian Shape-Motion Model. Application to  calculations of U and Pu charge yields