Magnetic properties of ground-state mesons

Abstract

Starting with the bag model a method for the study of the magnetic properties (magnetic moments, magnetic dipole transition widths) of ground-state mesons is developed. We calculate the M1 transition moments and use them subsequently to estimate the corresponding decay widths. These are compared with experimental data, where available, and with the results obtained in other approaches. Finally, we give the predictions for the static magnetic moments of all ground-state vector mesons including those containing heavy quarks. We have a good agreement with experimental data for the M1 decay rates of light as well as heavy mesons. Therefore, we expect our predictions for the static magnetic properties (i.e., usual magnetic moments) to be of sufficiently high quality, too.

Magnetic moment of the ρ meson in instant-form relativistic quantum mechanics

“…There are approaches based on the Dyson-Schwinger equation [51][52][53][54][55], on the Nambu-Jona-Lasinio model [56,57]. Some authors use QCD sum rules [58,59], Feynmann diagrams in the light front formalism [60], the bag model [61], relativistic composite model [62], the constructed relativistic Hamiltonian [63], a low-energy effective field theory [64], or lattice QCD calculations [65][66][67][68][69]. In the paper [70] the ρ meson magnetic moment is obtained from BABAR cross section data for the reaction e + e − → π + π − 2π 0 .…”

“…[74][75][76][77]). [42] 2.26 Melo, LF RHD [43] 2.14 Bakker, LF RHD [44] 2.1 Jaus, LF RHD [45] 1.83 Choi, LF RHD [46] 1.92 He, LF, IF RHD [47] 1.5 He, PF RHD [47] 0.9 Biernat, PF RHD [48] 2.20 Sun, LCCCM [49] 2.06 Hawes, DSE [51] 2.69 Ivanov, DSE [52] 2.44 Bhagwat, DSE [53] 2.01 Roberts, DSE [54] 2.11 Pitschmann, DSE [55] 2.11 Carrillo-Serrano, NJL [56] 2.59 Luan, NJL [57] 2.1 Samsonov, QCD sum rules [58] 2.0 ± 0.3 Aliev, QCD sum rules [59] 2.4 ± 0.4 Melikhov, LF triangle [60] 2.35 Simonis, bag model [61] 2.06 Bagdasaryan, relativistic CQM [62] 2.3 Badalian, RH [63] 1.96 Djukanovic, EFT [64] 2.24 Andersen, Latt. [65] 2.25 ± 0.34 Hedditch, Latt.…”

Radiative transitions and magnetic moments of the charmed and bottom vector mesons in chiral perturbation theory

“…Many theoretical methods have been applied to study the radiative decays of the D Ã and B Ã mesons, such as various quark models [10][11][12][13][14][15], heavy quark effective theory and the vector meson dominance model [16], quark-potential models [17][18][19][20][21][22], QCD sum rules [23][24][25], lattice QCD simulations [26], the constituent quark-meson model [27], chiral effective field theory [28][29][30][31], the extended Nambu-Jona-Lasinio model [32,33], and so on.…”

$B^{\ast}$ ${\to}$ $\bar{D}D$ decays with perturbative QCD approach

“…At present, the information on Γ(B * q →B q γ) comes mainly from theoretical estimation. Theoretically, the partial decay width of the M1 transition (spin-flip) process has the expression [35,36]…”

“…[35] and Tables 3 and 4 in Ref. [36], but these estimation suffer from large uncertainties due to our insufficient understanding on the M1 moments of mesons. In principle, the M1 moment of a meson should be a combination of the M1 moments of the constituent quark and antiquark.…”