Abstract
We calculate the electromagnetic (EM) decay widths of the B ± c (2S) meson, which is observed recently by the ATLAS Collaboration. The main EM decay channels of this particle are 13 S 1 γ and 1Pγ, which, in literature, are estimated to have the branching ratio of about 1/10. In this work, we get the partial decay widths: Γ(21 S 0 → 13 S 1 γ) = 0.192 keV, Γ(21 S 0 → 1P 1 γ) = 2.24 keV and Γ(21 S 0 → 1P ′1 γ) = 11.4 keV. In the calculation, the instantaneous approximated Bethe-Salpeter method is used. For the P-wave B c mesons, the wave functions are given by mixing the 3 P 1 and 1 P 1 states. Within the Mandelstam formalism, the decay amplitude is given, which includes the relativistic corrections.
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References
CDF collaboration, F. Abe et al., Observation of B c mesons in \( p\overline{p} \) collisions at \( \sqrt{s}=1.8 \) TeV, Phys. Rev. D 58 (1998) 112004 [hep-ex/9804014] [INSPIRE].
Particle Data Group collaboration, K.A. Olive et al., Review of Particle Physics, Chin. Phys. C 38 (2014) 090001 [INSPIRE].
M.A. Nobes and R.M. Woloshyn, Decays of the B c meson in a relativistic quark meson model, J. Phys. G 26 (2000) 1079 [hep-ph/0005056] [INSPIRE].
D. Ebert, R.N. Faustov and V.O. Galkin, Spectroscopy and Regge trajectories of heavy quarkonia and B c mesons, Eur. Phys. J. C 71 (2011) 1825 [arXiv:1111.0454] [INSPIRE].
D. Ebert, R.N. Faustov and V.O. Galkin, Properties of heavy quarkonia and B c mesons in the relativistic quark model, Phys. Rev. D 67 (2003) 014027 [hep-ph/0210381] [INSPIRE].
M.A. Ivanov, J.G. Körner and P. Santorelli, Exclusive semileptonic and nonleptonic decays of the B c meson, Phys. Rev. D 73 (2006) 054024 [hep-ph/0602050] [INSPIRE].
E. Hernández, J. Nieves and J.M. Verde-Velasco, Study of exclusive semileptonic and non-leptonic decays of B c in a nonrelativistic quark model, Phys. Rev. D 74 (2006) 074008 [hep-ph/0607150] [INSPIRE].
H.-M. Choi and C.-R. Ji, Semileptonic and radiative decays of the B c meson in light-front quark model, Phys. Rev. D 80 (2009) 054016 [arXiv:0903.0455] [INSPIRE].
V.V. Kiselev, A.K. Likhoded and A.I. Onishchenko, Semileptonic B c meson decays in sum rules of QCD and NRQCD, Nucl. Phys. B 569 (2000) 473 [hep-ph/9905359] [INSPIRE].
T. Huang, Z.-H. Li, X.-G. Wu and F. Zuo, Semileptonic B(B s , B c ) decays in the light-cone QCD sum rules, Int. J. Mod. Phys. A 23 (2008) 3237 [arXiv:0801.0473] [INSPIRE].
C.-H. Chang and Y.-Q. Chen, The decays of B c meson, Phys. Rev. D 49 (1994) 3399 [INSPIRE].
H.-F. Fu, Y. Jiang, C.S. Kim and G.-L. Wang, Probing Non-leptonic Two-body Decays of B c meson, JHEP 06 (2011) 015 [arXiv:1102.5399] [INSPIRE].
M. Asano and R. Kitano, Partially Composite Dark Matter, JHEP 09 (2014) 171 [arXiv:1406.6374] [INSPIRE].
W.-L. Ju, T. Wang, Y. Jiang, H. Yuan and G.-L. Wang, The nonleptonic charmless decays of B c meson, arXiv:1512.05870 [INSPIRE].
G. Cvetič, C. Dib, C.S. Kim and J. Zamora-Saa, Probing the Majorana neutrinos and their CP-violation in decays of charged scalar mesons π, K, D, D s , B, B c , Symmetry 7 (2015) 726 [arXiv:1503.01358] [INSPIRE].
S.-S. Bao, H.-L. Li, Z.-G. Si and Y.-B. Yang, Search for Majorna Neutrino Signal in B c Meson Rare Decay, Commun. Theor. Phys. 59 (2013) 472 [arXiv:1208.5136] [INSPIRE].
S. Fajfer, J.F. Kamenik and P. Singer, New-physics scenarios in ΔS = 2 decays of the B c meson, Phys. Rev. D 70 (2004) 074022 [hep-ph/0407223] [INSPIRE].
C.-H. Chang, A.K. Giri, R. Mohanta and G.-L. Wang, Transverse τ polarization in \( {B}_c\to \tau {\overline{\nu}}_{\tau}\gamma \) decay, J. Phys. G 28 (2002) 1403 [hep-ph/0204279] [INSPIRE].
ATLAS collaboration, Observation of an Excited B ± c Meson State with the ATLAS Detector, Phys. Rev. Lett. 113 (2014) 212004 [arXiv:1407.1032] [INSPIRE].
E.J. Eichten and C. Quigg, Mesons with beauty and charm: Spectroscopy, Phys. Rev. D 49 (1994) 5845 [hep-ph/9402210] [INSPIRE].
H.-W. Ke and X.-Q. Li, Search for B c (ns) via the B c (ns) → B c (ms)π + π − transition at LHCb and Z 0 factory, Sci. China Phys. Mech. Astron. 53 (2010) 2019.
Z.-G. Wang, The radiative decays B * ± c → B ± c γ with QCD sum rules, Eur. Phys. J. C 73 (2013) 2559 [arXiv:1306.6160] [INSPIRE].
A. Berezhnoy and A. Likhoded, The observation possibility of B c excitations at LHC, PoS(QFTHEP 2013)051 [arXiv:1307.5993] [INSPIRE].
E.E. Salpeter and H.A. Bethe, A relativistic equation for bound state problems, Phys. Rev. 84 (1951) 1232 [INSPIRE].
E.E. Salpeter, Mass corrections to the fine structure of hydrogen - like atoms, Phys. Rev. 87 (1952) 328 [INSPIRE].
C.S. Kim and G.-L. Wang, Average kinetic energy of heavy quark (µ 2 π ) inside heavy meson of 0− state by Bethe-Salpeter method, Phys. Lett. B 584 (2004) 285 [Erratum ibid. B 634 (2006) 564] [hep-ph/0309162] [INSPIRE].
S. Mandelstam, Dynamical variables in the Bethe-Salpeter formalism, Proc. Roy. Soc. Lond. A 233 (1955) 248 [INSPIRE].
D. Ebert, R.N. Faustov and V.O. Galkin, Quark-anti-quark potential with retardation and radiative contributions and the heavy quarkonium mass spectra, Phys. Rev. D 62 (2000) 034014 [hep-ph/9911283] [INSPIRE].
H. Ito, Relativistic Quarkonium Model with Retardation Effect., Prog. Theor. Phys. 84 (1990) 94 [INSPIRE].
C.-f. Qiao, H.-W. Huang and K.-T. Chao, Possible retardation effects of quark confinement on the meson spectrum, Phys. Rev. D 54 (1996) 2273 [hep-ph/9603274] [INSPIRE].
C.-F. Qiao, H.-W. Huang and K.-T. Chao, Possible retardation effects of quark confinement on the meson spectrum II, Phys. Rev. D 60 (1999) 094004 [hep-ph/9905382] [INSPIRE].
H.-F. Fu, G.-L. Wang, Z.-H. Wang and X.-J. Chen, Semi-leptonic and non-leptonic B meson decays to charmed mesons, Chin. Phys. Lett. 28 (2011) 121301 [arXiv:1202.1221] [INSPIRE].
Z.-h. Wang, G.-L. Wang and C.-H. Chang, The B c Decays to P-wave Charmonium by Improved Bethe-Salpeter Approach, J. Phys. G 39 (2012) 015009 [arXiv:1107.0474] [INSPIRE].
G.-L. Wang, Decay constants of P-wave mesons, Phys. Lett. B 650 (2007) 15 [arXiv:0705.2621] [INSPIRE].
C.-H. Chang and G.-L. Wang, Spectrum for heavy quarkonia and mixture of the relevant wave functions within the framework of Bethe-Salpeter equation, Sci. China Phys. Mech. Astron. 53 (2010) 2005.
R.C. Verma, Decay constants and form factors of s-wave and p-wave mesons in the covariant light-front quark model, J. Phys. G 39 (2012) 025005 [arXiv:1103.2973] [INSPIRE].
H.-Y. Cheng, C.-K. Chua and C.-W. Hwang, Covariant light front approach for s wave and p wave mesons: Its application to decay constants and form-factors, Phys. Rev. D 69 (2004) 074025 [hep-ph/0310359] [INSPIRE].
N. Devlani, V. Kher and A.K. Rai, Masses and electromagnetic transitions of the B c mesons, Eur. Phys. J. A 50 (2014) 154 [INSPIRE].
V.V. Kiselev, A.K. Likhoded and A.V. Tkabladze, B c spectroscopy, Phys. Rev. D 51 (1995) 3613 [hep-ph/9406339] [INSPIRE].
L.P. Fulcher, Phenomenological predictions of the properties of the B c system, Phys. Rev. D 60 (1999) 074006 [hep-ph/9806444] [INSPIRE].
S. Godfrey, Spectroscopy of B c mesons in the relativized quark model, Phys. Rev. D 70 (2004) 054017 [hep-ph/0406228] [INSPIRE].
A. Abd El-Hady, J.R. Spence and J.P. Vary, Radiative decays of B c mesons in a Bethe-Salpeter model, Phys. Rev. D 71 (2005) 034006 [hep-ph/0603139] [INSPIRE].
C.T.H. Davies, K. Hornbostel, G.P. Lepage, A.J. Lidsey, J. Shigemitsu and J.H. Sloan, B c spectroscopy from lattice QCD, Phys. Lett. B 382 (1996) 131 [hep-lat/9602020] [INSPIRE].
V.Yu. Egorychev and I.M. Belyaev, B c -meson physics in the LHCb experiment, Phys. Atom. Nucl. 78 (2015) 968 [INSPIRE].
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Wang, T., Jiang, Y., Ju, WL. et al. The electromagnetic decays of B ± c (2S). J. High Energ. Phys. 2016, 209 (2016). https://doi.org/10.1007/JHEP03(2016)209
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DOI: https://doi.org/10.1007/JHEP03(2016)209