In this work, we investigate the possibility of interpreting two nucleon resonances, the N(1875) and the N(2100), as hadronic molecular states from the Σ * K and ΣK * interactions, respectively. With the help of effective Lagrangians in which coupling constants are determined by the SU(3) symmetry, the Σ * K and ΣK * interactions are described by the vector-meson and pseudoscalar-meson exchanges. With the one-boson-exchange potential obtained, bound states from the Σ * K and ΣK * interactions are searched for in a quasipotential BetheSaltpeter equation approach. A bound state with quantum number I(J P ) = 1/2(3/2 − ) is produced from the Σ * K interaction, which can be identified as the N(1875) listed in PDG. It can be seen as a strange partner of the LHCb pentaquark P c (4380) with the same quantum numbers in the molecular state picture. The ΣK * interaction also produces a bound state with quantum number I(J P ) = 1/2(3/2 − ), which is related to experimentally observed N(2100) in the φ photoproduction. Our results suggest that the N(2120) observed in the KΛ(1520) photoproduction and the N(2100) observed in the φ photoproduction have different origins. The former is a conventional three-quark state while the latter is a ΣK * molecular state, which can be seen as a strange partner of the P c (4450) with different spin parity.
I. INTRODUCTIONThe pentaquark is an important topic of hadron physics. Its history can be tracked back to the birth of the quark model. The Θ particle with a mass of about 1540 MeV claimed by the LEPS Collaboration started a worldwide rush of the pentaquark study in both experiment and theory [1]. More precise experiments did not confirm the LEPS observation, which made people lose enthusiasm about the pentaquark [2]. Study of the pentaquark study has been revived after recent observations of hidden-charmed P c (4380) and P c (4450) at LHCb [3]. Many interpretations of the internal structure of LHCb pentaquarks have been proposed and other possible pentaquarks are also discussed in the literature [4][5][6][7][8][9][10][11][12][13][14].The hadronic molecular state picture is one of the most important interpretations to explain LHCb pentaquarks as other resonance structures which cannot be put into a conventional quark model [4][5][6][7][8]. Since the P c (4380) and P c (4450) are close to the Σ * c D and Σ c D * thresholds, it is natural to relate two LHCb pentaquarks to the Σ * c D and Σ c D * interactions. In Ref.[5], a calculation in a quasipotential Bethe-Salpeter approach suggested that a bound state with quantum number J P = 3/2 − and a bound state with 5/2 + can be produced from the Σ * c D and the Σ c D * interactions, respectively. It is consistent with the experimental observation about the hiddencharmed pentaquarks at LHCb. The P c (4450) is a P-wave state in this picture, and an explicit study in Ref. [6] showed that the S-wave state from the same interaction is located around the P c (4380), which suggests that the P c (4380) may be a mixing state from two interactions. Genera...