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Heavy meson spectroscopy under strong magnetic field

Tetsuya Yoshida
(
- Tokyo Inst. Tech. and
- Nishina Ctr., RIKEN
)
,
Kei Suzuki
(
- Yonsei U. and
- IPAP, Seoul
)

Jul 17, 2016

21 pages

Published in:

Phys.Rev.D 94 (2016) 074043

Published: Oct 28, 2016

e-Print:

1607.04935 [hep-ph]

DOI:

10.1103/PhysRevD.94.074043

View in:

ADS Abstract Service

reference search56 citations

Citations per year

Abstract: (arXiv)

Spectra of the neutral heavy mesons,

\eta_c(1S,2S)

,

J/\psi

,

\psi(2S)

,

\eta_b(1S,2S,3S)

,

\Upsilon(1S,2S,3S)

,

D

,

D^\ast

,

B

,

B^\ast

,

B_s

and

B_s^\ast

, in a homogeneous magnetic field are analyzed in a potential model of constituent quarks. To obtain anisotropic wave functions and the corresponding eigenvalues, the cylindrical Gaussian expansion method is applied, where the wave functions for transverse and longitudinal directions in the cylindrical coordinate are expanded by the Gaussian bases separately. Energy level structures in the wide range of magnetic fields are obtained and the deformation of the wave functions is shown, which reflects effects of the spin mixing, the Zeeman splitting and quark Landau levels. The contribution from the magnetic catalysis in heavy-light mesons is discussed as a change of the light constituent quark mass.

Note:

21 pages, 15 figures

quark: constituent
meson: heavy
hadron spectroscopy
wave function: deformation
quark: mass
spin: effect
magnetic field
potential model
energy levels
longitudinal

References(164)

Figures(29)

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