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29 March 2024 |
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Article overview
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Glueball spectrum from $N_f=2$ lattice QCD study on anisotropic lattices | Wei Sun
; Long-Cheng Gui
; Ying Chen
; Ming Gong
; Chuan Liu
; Yu-Bin Liu
; Zhaofeng Liu
; Jian-Ping Ma
; Jian-Bo Zhang
; | Date: |
27 Feb 2017 | Abstract: | The lowest-lying glueballs are investigated from $N_f=2$ QCD study on
aniostropic lattices. Only the gluonic operators built from Wilson loops are
involved in calculating the corresponding correlation functions. In the tensor
channel, we obtain the ground state mass to be 2.367(35) GeV and 2.380(61) GeV
at $m_pisim 938$ MeV and $650$ MeV, respectively. In the pseudoscalar
channel, when we use the gluonic operator whose continuum limit has the form of
$epsilon_{ijk}TrB_iD_jB_k$, we obtain the ground state mass to be 2.559(50)
GeV and 2.605(52) GeV at the two pion masses. These results are in agreement
with the corresponding glueball masses in the quenched approximation and show
little dependence of pion masses. In contrast, if we use the topological charge
density as field operators for the pseudoscalar, the masses of the lowest state
are much lighter (around 1GeV) and compatible with the expected masses of the
flavor singlet $qar{q}$ meson. This provides a strong hint that the operator
$epsilon_{ijk}TrB_iD_jB_k$ and the topological charge density couple very
differently to the glueball states and $qar{q}$ mesons. In the scalar
channel, the ground state masses extracted from the correlation functions of
gluonic operators are determined to be around 1.4-1.5 GeV, which are close to
the ground state masses from the correlation functions of the quark bilinear
operators. In all cases, the mixing between glueballs and conventional mesons
remains to be investigated in the future. | Source: | arXiv, 1702.8174 | Services: | Forum | Review | PDF | Favorites |
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