Magnetic moments of exotic pentaquarks in the chiral quark–soliton model

Abstract

We investigate the magnetic moments of the baryon antidecuplet within the framework of the chiral quark-soliton model in the chiral limit in a "model-independent" approach. Sum rules for the magnetic moments are derived. The magnetic moment of Θ + is found to be about 0.2 ∼ 0.3 µ N .

Octet, decuplet, and antidecuplet magnetic moments in the chiral quark soliton model reexamined

“…In this paper we revise previous results both for nonexotic [16,17] and exotic baryons [15]. We show that magnetic moments of nonexotic baryons (i.e.…”

“…However, information on the static properties such as antidecuplet magnetic moments and their strong coupling constants is absent to date, so we need to estimate them theoretically. Recently, two of the present authors calculated the magnetic moments of the exotic pentaquarks in a model-independent approach, within the framework of the chiral quark-soliton model [15] in the chiral limit. Since we were not able to fix all the parameters for the magnetic moments in the chiral limit, we had to rely on the explicit model calculations [16,17].…”

Electromagnetic form factors of the Δ in an S-wave approach

“…µ∆. The Table shows results based on SU(6) static quark structure [22], on a relativistic quark model (Rel QM) [25], QCD sum rules (QCD SR) [28,29], Chiral Quark-Soliton Models (ChQSM) [30], Heavy Baryon Chiral Perturbation Theory (HBChPT) [31] and extrapolations from Lattice QCD [36,37,38,39]. Our results are labeled "Spectator".…”

Magnetic moment of the pentaquark Θ+(1540) as diquark-diquark-antiquark state with QCD sum rules

“…There have been several works on the magnetic moments of the pentaquark state Θ + (1540) [5,6,7,8,9,10,11,12,13,14,15], in this article, we take the point of view that the baryon Θ + (1540) is a diquark-diquark-antiquark ([ud][ud]s) state with the quantum numbers J = 1 2 , I = 0 , S = +1, and study its magnetic moment with the QCD sum rules in the external weak electromagnetic field (EFSR) and the light-cone QCD sum rules (LCSR) respectively [16,17,18]. Different quark configurations can be implemented with different interpolating currents, if the u and d quarks in the pentaquark state Θ + (1540) are bound into spin zero, color and flavor antitriplet3 diquarks, we can take the diquarks (for example, ǫ abc u b Cγ 5 d c with J P = 0 + and ǫ abc u b Cd c with J P = 0 − ) instead of the u and d quarks as the basic constituents to construct the interpolating currents.…”