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Abstract

Abstract We investigate the reaction mechanism of $$K^-p \rightarrow \phi \Sigma ^0$$ K - p → ϕ Σ 0 within a hybrid Regge approach based on effective Lagrangians. The nonresonant background includes Reggeized t -channel K and $$K^*$$ K ∗ exchanges, together with ground-state $$\Sigma $$ Σ and nucleon exchanges in the s and u channels, respectively. To describe the structures observed at $$3.0 \leqslant P_{\textrm{Lab}} \leqslant 4.5$$ 3.0 ⩽ P Lab ⩽ 4.5  GeV, we include the high-mass $$\Sigma (2620)$$ Σ ( 2620 ) and $$\Sigma (3000)$$ Σ ( 3000 ) resonances and examine the spin-parity assignments $$J^P = 1/2^\pm ,$$ J P = 1 / 2 ± , $$3/2^\pm ,$$ 3 / 2 ± , and $$5/2^\pm .$$ 5 / 2 ± . The $$K^*$$ K ∗ -Reggeon exchange dominates the forward-angle cross sections, whereas the smaller K -Reggeon contribution is important for the total cross section at low energies and for the spin-density matrix elements. The nonresonant background alone is not sufficient to reproduce the local structures in the total cross section or the differential cross sections at large $$-t'.$$ - t ′ . Including the two resonances, particularly the $$\Sigma (3000),$$ Σ ( 3000 ) , substantially improves the agreement with the available data. The $$J^P=5/2^-$$ J P = 5 / 2 - assignment for the $$\Sigma (3000)$$ Σ ( 3000 ) provides a reasonable overall description, although the present data do not permit a definitive determination.