The possible K^*Σ^* molecular state

2026/04/24 by Yin Huang, Dan Jiang, Feng Zhang +1
#hep-ph #hep-th

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Abstract

Within the framework of the one-boson-exchange model, we systematically investigate the interaction between the vector meson K^* and the baryon Σ^* with the aim of exploring the possibility of forming hadronic molecular states. The K^*Σ^* interaction potential is constructed from ρ, ω, and π meson exchanges, and the nonrelativistic Schrödinger equation is solved using the Gaussian expansion method. The binding energies are calculated for different total angular momenta J^P and isospin channels I=1/2 and I=3/2. Our results show that S--D wave mixed K^*Σ^* molecular states with J^P=1/2^- can be formed only in the I=3/2 channel, while no bound state appears in the I=1/2 channel. In addition, the S--D wave mixed states with J^P=3/2^- and J^P=5/2^- are also found to support bound-state solutions. For higher partial-wave states in our study, the binding mechanism mainly arises from the interplay between partial-wave mixing and non-central interactions. In particular, the J^P=1/2⁺ channel does not support a bound state, as the meson-exchange interaction is predominantly repulsive. Our analysis further supports the interpretation of the experimentally observed N(2250) and Δ(2200) states as K^*Σ^* molecular candidates, corresponding to I=1/2, J^P=9/2^- and I=3/2, J^P=7/2^-, respectively.

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