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The structure of even-even neutron-rich Ru, Mo, Zr and Sr nuclei in the$A\approx 100$ mass region is studied within the interacting boson model (IBM)with microscopic input from the self-consistent mean-field approximation basedon the Gogny-D1M energy density functional. The deformation energy surface inthe quadrupole deformation space $(\beta,\gamma)$, computed within theconstrained Hartree-Fock-Bogoliubov framework, is mapped onto the expectationvalue of the appropriately chosen IBM Hamiltonian with configuration mixing inthe boson condensate state. The mapped IBM Hamiltonian is used to study thespectroscopic properties of $^{98-114}$Ru, $^{96-112}$Mo, $^{94-110}$Zr and$^{92-108}$Sr. Several cases of $\gamma$-soft behavior are predicted in Ru andMo nuclei while a pronounced coexistence between strongly-prolate andweakly-oblate deformed shapes is found for Zr and Sr nuclei. The methoddescribes well the evolution of experimental yrast and non-yrast states as wellas selected $B$(E2) transition probabilities.

Structural evolution in $A\approx 100$ nuclei within the mapped interacting boson model based on the Gogny energy density functional