Predicted Partner States of Pcs(4459)

This archive contains the final PRL-format two-column preprint compiled with revtex4-2, studying excited partner states of the strange hidden-charm pentaquark Pcs(4459) via an empirical mass recurrence scaling relation. Core research contents: 1. An exponential recurrence mass formula mₙ = m₀ κⁿ calibrated on existing LHCb pentaquark measurements, with κ=1.043±0.003 for the $cs$ pentaquark flavor family; 2. Four low-lying predicted Pcs states below 5.2 GeV, including the primary 3/2⁻ resonance at 4.662±0.068 GeV with broad ΞcD̄^* decay width; 3. A unique narrow 1/2⁺ pentaquark candidate (Γ<5 MeV) proposed as a clear experimental discriminant for LHCb Run4 searches; 4. All predictions are fully falsifiable with upcoming high-luminosity proton-proton collision data. Supplementary machine-readable numerical tables with full mass uncertainty scans are uploaded alongside the PDF manuscript for complete reproducibility. No internal draft revision logs are attached to maintain clean preprint formatting.