Radiative decays of hyperons in the Skyrme model: transitions ratios

Abstract

We study the radiative decays of J π = 3 2 + baryons in the framework of the SU(3) collective approach to the Skyrme model. We present the predictions for the decay widths and the corresponding E2/M1 ratios. We find that all considered ratios are negative and of the order of a few percent only. We discuss the effects of flavor symmetry breaking and compare our results to those obtained in related models.PACS: 11.10Lm, 12.39Dc, 13.40HqKeywords: Skyrmion, Collective quantization, Radiative hyperon decays, E2/M1 ratios.---- † Supported by the Deutsche Forschungsgemeinschaft (DFG) under contract Re 856/2-2.

Octet to decuplet electromagnetic transition in a relativistic quark model

“…Our results for the decay widths in Table VII are comparable with most of the predictions presented in the literature [11][12][13][14][15]17,[20][21][22][23][24]27,65]. The exception is the result for the Á !…”

“…Ã decay width are in the range 150-300 keV for a large variety of quark models, algebraic models of hadron structure, Skyrme, and soliton models [11][12][13][14][15]17,[20][21][22]. Only HB PT has a window 252-540 keV [24], while the large N c limit predicts 336 AE 81 keV [27] and may overestimate the result of 300 keV, as well as the QCD sum rules with 409 keV [23].…”

“…The exception is the result for the Á ! N reaction, where most of the models underestimate the experimental data by more than 200 keV [11,14,15,17,21,22,28], except for the heavy baryon chiral perturbation theory (HB PT) [24], large N c limit [27], and QCD sum rules [23].…”

Electromagnetic decay of theΣ0(1385)toΛγ

“…There are many theoretical calculations of the EM decays of decuplet hyperons such as: the non-relativistic quark model (NRQM) [12,13], a relativized constituent quark model (RCQM) [14], a chiral constituent quark model (χCQM) [15], the MIT bag model [16], the boundstate soliton model [17], a three-flavor generalization of the Skyrme model that uses the collective approach [18,19], an algebraic model of hadron structure [20], and heavy baryon chiral perturbation theory (HBχPT) [21], among others. Table I summarizes the theoretical predictions and experimental branching ratios for the EM transitions of interest.…”

“…Table I summarizes the theoretical predictions and experimental branching ratios for the EM transitions of interest. [14] 4.1 267 χCQM [15] 350 265 MIT Bag [16] 4.6 152 Soliton [17] 243 Skyrme [18,19] 309-326 157-209 Algebraic model [20] 341 A comprehensive study of electromagnetic strangeness production has been undertaken using the CLAS detector at the Thomas Jefferson National Accelerator Facility. Many data on ground-state hyperon photoproduction have already been published [22][23][24] using data from the CLAS run group g1 and g11 data sets.…”