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

Table 3

Charge radii of octet baryons in 𝜒CQM_config in terms of SU(3) symmetry breaking parameters and GPM parameters. These results are obtained by substituting 𝑞→𝑃_𝑞𝑞+|𝜓(𝑞)|² and 𝑞_±→𝑃_𝑞𝑞_±+|𝜓(𝑞_±)|² for every constituent quark in NQM. Results in 𝜒CQM without configuration mixing can easily be obtained by substituting the mixing angle 𝜃=0.

Charge radii	𝜒CQMconfig
𝑟^2𝑝	A−3B+(B−C)cos^2𝜃3−𝑎4+2𝛼^2+𝛽^2+2𝜁^2+sin^2𝜃𝑎1−36+𝛽^2+2𝜁^2
𝑟^2𝑛	(B−C)cos^2𝜃𝑎−2+33+9𝛼^2+2𝛽^2+4𝜁^2+sin^2𝜃𝑎−1+𝛼^2
𝑟^2Σ^+	A−3B+(B−C)cos^2𝜃𝑎3−312+5𝛼^2+4𝛽^2+6𝜁^2+sin^2𝜃𝑎1−36+𝛼^2+2𝜁^2
𝑟^2Σ^−	A−3B+(B−C)cos^2𝜃𝑎−1+37𝛼^2+2𝜁^2+sin^2𝜃𝑎−1+35𝛼^2+2𝛽^2+2𝜁^2
𝑟^2Σ0	(B−C)cos^2𝜃𝑎1−36−𝛼^2+2𝛽^2+2𝜁^2+sin^2𝜃𝑎3−3+2𝛼^2+𝛽^2
𝑟^2Ξ0	(B−C)cos^2𝜃𝑎−2+33+5𝛼^2+6𝛽^2+4𝜁^2+sin^2𝜃𝑎3−3+𝛼^2+2𝛽^2
𝑟^2Ξ^−	A−3B+(B−C)cos^2𝜃𝑎−1+32𝛼^2+5𝛽^2+2𝜁^2+sin^2𝜃𝑎−1+34𝛼^2+3𝛽^2+2𝜁^2
𝑟^2Λ	(B−C)cos^2𝜃𝑎−1+3(3𝛼^2+4𝛽^2+2𝜁^2)+sin^2𝜃𝑎9−9+6𝛼^2+7𝛽^2+2𝜁^2
𝑟^2ΣΛ	(B−C)√3−𝑎√3(3+3𝛼^2+𝛽^2+2𝜁^2)