Radiative M1 transitions of heavy baryons in the bag model

Abstract

We study the M1 transitions of ground state heavy baryons within a framework of the modified bag model. Calculations of transition moments and corresponding M1 decay widths are performed. For the spin 1/2 baryons containing three differently flavoured quarks the hyperfine mixing effects are taken into account. Results are compared with estimates obtained using various other approaches.Comment: 9 pages, 9 tables, 19 references with hyperlink

Magnetic transitions and radiative decays of singly heavy baryons

“…[19] for Bc corresponding to 6 1/2 and 6 3/2 , respectively. The values from the modified bag model [21], light-cone QCD sum rules [24,25], chiral perturbation theory [32], the chiral constituent quark model [35], the Skyrme model (SM) [45], and the bound state approach with heavy quark symmetries [46] are also listed. In the last column, we list the results from a lattice QCD simulation [37,38].…”

“…While there is no experimental information on radiative decays of heavy baryons, the CLEO Collaboration identified the two resonances of the singly heavy baryons, Ξ +′ c and Ξ 0′ c , using their radiative decays Ξ +′ c → Ξ + c γ and Ξ 0′ c → Ξ 0 c γ, since the masses of the Ξ ′ c isodoublet lie below threshold for their strong decays [15]. Theoretically, radiative decays of singly heavy baryons have been studied within various different approaches: The nonrelativistic quark model (NRQM) [16][17][18][19], the bag models [20,21], potential models [22,23], QCD sum rules [24][25][26][27], heavy-quark effective theories [28,29], chiral perturbation theories [30][31][32], relativistic quark models [33], the heavy quark symmetry with a diquark picture [34], the chiral constituent quark model [35,36], and lattice QCD [37,38]. In the present work, we want to investigate the transition magnetic moments and radiative decays of singly heavy baryons belonging to the baryon sextet with both spin 1/2 and 3/2.…”

Magnetic moments of bottom baryons: Effective mass and screened charge

“…These states are identified by the set of quantum numbers ðJ P ; S d Þ where S d is the spin of a heavy diquark. The spins of the two heavy quarks are coupled to form (S d ¼ 0) antisymmetric spin configuration of diquark [Q 1 Q 2 ] and (S d ¼ 1) symmetric spin configuration of diquark fQ 1 Q 2 g. In literature [30,[32][33][34]37,38,40,41], the standard convention is to denote the symmetric heavy diquark state as unprimed jBi state and antisymmetric one as jB 0 i. In addition, the wave function mixing between jBi and jB 0 i states have also been considered in [17,37,39], which we have ignored in the present analysis.…”

“…Due to increasing experimental activity in bottom quark sector the theoretical focus has now been shifted on the b-baryon properties. Most recent theoretical analyses employ NRQM using AL1 potential [30,31], light cone QCD sum rules [32][33][34], relativistic three quark model [35][36][37], hypercentral model [38] and MIT bag model [39,40] to calculate the magnetic moments and radiative decays of b-baryons. Earlier, Kumar, Dhir, and Verma [27] used effective quark mass and screened quark charge formalism to predict the magnetic moments of spin-1 2 charm baryons, which was later extended to spin-3 2 charmed (C ¼ 1, 2 and 3) baryons.…”

Charmed baryons circa 2015

“…[169][170][171] using the QCD sum rule method, and they were studied within the framework of the modified bag model in Ref. [172].…”