Collisionless converging ion flows can sustain particle energization over an extended path, but the field channel responsible for the energy gain is not always identifiable. In laser-driven bladed microtube implosion, energetic carbon ions were previously observed alongside a self-generated gigagauss-class axial magnetic field [D. Pan and M. Murakami, Phys. Plasmas 32, 072107 (2025)], leaving the origin of their energization unresolved. Using two-dimensional particle-in-cell simulations, field-particle power decomposition and trajectory-resolved work accounting show that radial electrostatic work accumulated along the converging path supplies more than $98\%$ of the net in-plane electric work, whereas the azimuthal channel associated with the time-varying magnetic field remains subdominant. The peak local mean ion energy factorizes, to good approximation, into an incident-flow contribution controlled by laser intensity and a geometric enhancement that grows approximately linearly with the inner radius because ions accumulate electrostatic work over a longer convergence path. The path-averaged radial electric field $\langle E_r\rangle$ scales with the peak laser intensity $I_L$ as $\langle E_r\rangle \propto I_L^{0.47}$, favoring a geometry-pinned, comoving charge-separation structure over Debye-limited scaling. The peak local mean carbon-ion energy reaches 0.89 GeV. A smooth-cylinder control exhibits comparable peak energization, showing that blade modulation mainly affects poststagnation ion residence rather than the energy source.

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• Collisionless shock in plasma
• High intensity laser-plasma interactions
• High-energy-density plasmas
• Laser driven ion acceleration
• Laser-plasma interactions
• Particle acceleration in plasmas
• Particle-in-cell methods
• Plasma kinetic theory