Decuplet to octet baryon transitions in chiral perturbation theory

Abstract

We have systematically investigated the decuplet (T) to octet (B) baryon (T → Bγ) transition magnetic moments to the next-to-next-to-leading order and electric quadruple moments to the nextto-leading order in the framework of the heavy baryon chiral perturbation theory. Our calculation includes the contributions from both the intermediate decuplet and octet baryon states in the loops. Our results show reasonably good convergence of the chiral expansion and agreement with the experimental data. The analytical expressions may be useful to the chiral extrapolation of the lattice simulations of the decuplet electromagnetic properties.

Electromagnetic transition form factors, E2/M1 and C2/M1 ratios of the baryon decuplet

“…This discrepancy may be overcome by going beyond the pion mean-field approximation, as was hinted by the results of χ PT. The results of R E M for all decuplet hyperons are comparable with those of chiral perturbation theory (χ PT) [36] except for those of R E M for the − γ → * − and − γ → * − excitations. Interestingly, both channels are forbidden by the U -spin symmetry.…”

“…Thus, it is of great importance to consider the pion clouds in explaining a deformed shape of the . It was already shown in the χ QSM that the E2 form factor of the is mainly governed by the Table 1 The R E M and R SM on B 8 γ → B 10 within the chiral quark-soliton model with and without flavor SU(3) symmetry breaking in comparison those from Experimental data [6], Skyrme model [19], Linear sigma model (LSM) [15], non-relativistic quark model(NQM) [24], QCD sum rule (QCDSR) [29], chiral constituent quark model (χCQM) [71] and chiral perturbation theory (χPT) [36] [%]…”

“…Thus, the structure of the baryon decuplet can be investigated by using the EM transition from the baryon octet to the decuplet. Theoretically, the EM transitions of the N γ * → have been extensively studied within a e-mail: Jun-Young.Kim@ruhr-uni-bochum.de b e-mail: hchkim@inha.ac.kr (corresponding author) various frameworks over decades: for example, the linear sigma model [15], the Skyrme models [16][17][18][19], the chiral bag model [20], the Dyson-Schwinger approaches [21][22][23], constituent quark models [24], relativistic quark models [25], QCD sum rules [26][27][28][29], a π N dynamical model [30], lattice QCD [31][32][33][34], AdS/QCD [35], chiral perturbation theory [36], chiral effective field theory(χ EFT) [37] and so on.…”

Chiral Lagrangians with Δ(1232) to one loop

“…Combine the two equations in Eq. (33) and the last one in (32), one can remove the Levi-Civita tensor and obtain, up to the O(p 4 ) order, the following relation.…”

“…In principle, high order calculations of the S-matrix in ChPT will improve the precision of the theory. Specific processes using part of high order terms have been studied, such as the nucleon-∆ transition [29][30][31][32], the properties of ∆ [33][34][35][36][37][38][39][40], scattering processes with nucleon or ∆ [41][42][43][44][45][46][47][48][49][50], and so on. Completing high order Lagrangians with ∆ is the first task in improving the precision of ChPT and will be helpful to deeper understanding of the chiral expansion in various processes.…”