Charge Radii and Quadrupole Moments of the Low-Lying Baryons in the Chiral Constituent Quark Model

Table 8

Quadrupole moments of the decuplet baryons in NQM and 𝜒CQM using the GPM.

Baryon	NQM	𝜒CQM
Δ^++	B^′9𝑢+3𝑢++C^′−9𝑢+15𝑢+	8B^′+4C^′−(B^′+5C^′)𝑎39+3𝛼^2+2𝛽^2+4𝜁^2
Δ^+	B^′3(2𝑢+𝑑)+2𝑢++𝑑++C^′−3(2𝑢+𝑑)+5(2𝑢++𝑑+)	4B^′+2C^′−(B^′+5C^′)𝑎36+𝛽^2+2𝜁^2
Δ^0	B^′3(𝑢+2𝑑)+𝑢++2𝑑++C^′−3(𝑢+2𝑑)+5(𝑢++2𝑑+)	(B^′+5C^′)𝑎−1+𝛼^2
Δ^−	B^′9𝑑+3𝑑++C^′−9𝑑+15𝑑+	−4B^′−2C^′+(B^′+5C^′)𝑎36𝛼^2+𝛽^2+2𝜁^2
Σ^∗+	B^′3(2𝑢+𝑠)+2𝑢++𝑠++C^′−3(2𝑢+𝑠)+5(2𝑢++𝑠+)	4B^′+2C^′−(B^′+5C^′)𝑎36+𝛼^2+2𝜁^2
Σ^∗−	B^′3(2𝑑+𝑠)+2𝑑++𝑠++C^′−3(2𝑑+𝑠)+5(2𝑑++𝑠+)	−4B^′−2C^′+(B^′+5C^′)𝑎35𝛼^2+2𝛽^2+2𝜁^2
Σ^∗0	B^′3(𝑢+𝑑+𝑠)+𝑢++𝑑++𝑠+	(B^′+5C^′)𝑎3−3+2𝛼^2+𝛽^2
	+C−3(𝑢+𝑑+𝑠)+5(𝑢++𝑑++𝑠+)
Ξ^∗0	B^′3(𝑢+2𝑠)+𝑢++2𝑠++C^′−3(𝑢+2𝑠)+5(𝑢++2𝑠+)	(B^′+5C^′)𝑎3−3+𝛼^2+2𝛽^2
Ξ^∗−	B^′3(𝑑+2𝑠)+𝑑++2𝑠++C^′−3(𝑑+2𝑠)+5(𝑑++2𝑠+)	−4B^′−2C^′+(B^′+5C^′)𝑎34𝛼^2+3𝛽^2+2𝜁^2
Ω^−	B^′9𝑠+3𝑠++C^′−9𝑠+15𝑠+	−4B^′−2C^′+(B^′+5C^′)𝑎33𝛼^2+4𝛽^2+2𝜁^2