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Identifying spin and parity of charmonia in flight with lattice QCD | | M. Padmanath
; Sara Collins
; Daniel Mohler
; Stefano Piemonte
; Sasa Prelovsek
; Andreas Schaefer
; Simon Weishaeupl
; | | Date: |
9 Nov 2018 | | Abstract: | The spectrum of charmonium resonances contains a number of unanticipated
states along with several conventional quark-model excitations. The hadrons of
different quantum numbers $J^P$ appear in a fairly narrow energy band, where
$J^P$ refers to the spin-parity of a hadron at rest. This poses a challenge for
Lattice QCD studies of (coupled-channel) meson-meson scattering aimed at the
determination of scattering amplitudes and resonance pole positions. A wealth
of information for this purpose can be obtained from the lattice spectra in
frames with nonzero total momentum. These are particularly dense since hadrons
with different $J^P$ contribute to any given lattice irreducible
representation. This is because $J^P$ is not a good quantum number in flight,
and also because the continuum symmetry is reduced on the lattice. In this
paper we address the assignment of the underlying continuum $J^P$ quantum
numbers to charmonia in flight using a $N_f = 2 + 1$ CLS ensemble. As a first
step, we apply the single-hadron approach, where only interpolating fields of
quark-antiquark type are used. The approach follows techniques previously
applied to the light meson spectrum by the Hadron Spectrum Collaboration. The
resulting spectra of charmonia with assigned $J^P$ will provide valuable
information for the parameterization of (resonant) amplitudes in future
determinations of resonance properties with lattice QCD. | | Source: | arXiv, 1811.4116 | | Services: | Forum | Review | PDF | Favorites | |
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