Magnetic moments and transition magnetic moments of $P_c$ and $P_{cs}$ states

Abstract

We study the magnetic moments and transition magnetic moments of P c and P cs states in the molecular picture. We first revisit the magnetic moments of P c states as the S wave molecular states without coupled channel effects. The coupled channel effects and the D wave contributions are then investigated carefully. The coupled channel effects contribute to the change of 0.1 ∼ 0.4 nuclear magneton µ N for most cases while the D wave only induces the variation of less than 0.03 µ N . In addition, we obtain the transition magnetic moments between different P c states and the related electromagnetic decay widths of P ′ c → P c γ. The magnetic moments of P cs are much different for the assumption of spin being 1/2 and 3/2. The study of electromagnetic properties will help us disclose further the structure of these unconventional states.

An updated review of the new hadron states

“…The magnetic moments of the D * Ξ c molecular states were calculated in Ref. [684] to be µ Pcs = −0.062µ N for the J P = 1/2 − state, and µ Pcs = 0.465µ N for the J P = 3/2 − state. See Refs.…”

Electromagnetic properties of the Pc (4312) pentaquark state

“…In Ref. [26], the magnetic moment of the P c (4312) pentaquark state was extracted via quark model without/with coupled channel effects and the D-wave contributions, and the predicted result is given as µ Pc(4312) = 1.624 − 1.737 µ N . In Ref.…”

“…The electromagnetic properties of the pentaquark states have not received much attention, though the mass spectra, production mechanisms, and decay behavior of the pentaquark states have received a great deal of attention from both theoretical and experimental sides [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36]. The magnetic moment is another observable parameter that may provide important information about the quark-gluon structure of hadrons and their fundamental nature and underlying dynamics.…”