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Article overview
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Spectroscopy and decay properties of bottomonium using instanton induced potential from QCD vacuum | | Bhoomika Pandya
; Manan Shah
; P C Vinodkumar
; | | Date: |
14 Oct 2019 | | Abstract: | Ground state and radial excitation mass spectra of bottomonium states are
computed using the Instanton Induced $q ar{q}$ Potential obtained from
Instanton Liquid Model for QCD vacuum. The Schrodinger equation is solved for
two body problem using variational method. Hyperfine interactions are
incorporated to remove the degeneracy between spin singlet and spin triplet
states of $S$ wave masses. Spin-orbit and tensor interactions through one gluon
exchange has been added to the spin average masses of P and D wave states. The
vector decay constants and pseudoscalar decay constants are also estimated
using the Van Royan Weiskopff formula within non-relativistic limit. The
di-leptonic, di-gamma, di-gluon decays of the bottomonium states are predicted
without and with QCD corrections up to the lowest order using numerical values
of the wave function at origin. Tri-gluon decays of respective $S$, $P$ and $D$
states are also studied. Other annihilation decay channels of bottomonium
states into $gamma gg$ , $gamma gamma gamma$ , $qar{q} + g $ are also
computed. The radiative transitions of first order like electric dipole
transitions (E1) and magnetic dipole transitions (M1) are estimated. Our
estimations of the mass spectra and decay properties for bottomonium found to
be in excellent agreement with the average experimental values reported by
particle data group. | | Source: | arXiv, 1910.6111 | | Services: | Forum | Review | PDF | Favorites | |
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