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research
Nucleon spin structure,topological susceptibility and the
η
′
\eta^\prime
η
′
singlet axial vector coupling
Authors
Altarelli
Altarelli
+27Â more
Altarelli
Briganti
Brodsky
Carlitz
Efremov
Efremov
Ellis
Ellis
Ellis
Forte
Forte
Fritzsch
G. Grunberg
Gasser
Grunberg
Grunberg
Grunberg
Larin
Leutwyler
Narison
Novikov
Shore
Shore
Shore
Veneziano
Veneziano
Witten
Publication date
1 July 1996
Publisher
'Elsevier BV'
Doi
Cite
View
on
arXiv
Abstract
The observed small value of the first moment of the polarized nucleon spin structure function
g
1
g_1
g
1
​
may be interpreted, in the Veneziano--Shore approach, as a suppression of the first moment
χ
′
(
0
)
\chi^\prime(0)
χ
′
(
0
)
of the QCD topological susceptibility. I give an extension of the Witten--Veneziano argument for the
U
(
1
)
U(1)
U
(
1
)
problem, which yields the
O
(
1
/
N
)
O(1/N)
O
(
1/
N
)
correction to the
N
=
∞
N = \infty
N
=
∞
relation
χ
′
(
0
)
/
F
0
2
=
1
\chi^\prime(0)/F^2_0 = 1
χ
′
(
0
)
/
F
0
2
​
=
1
(where
F
0
F_0
F
0
​
is the
η
′
\eta^\prime
η
′
axial vector coupling).The correction, although negative, seems too small to account for the data. I further argue that the
(
η
,
η
′
)
→
γ
γ
(\eta,\eta^\prime)\rightarrow\gamma\gamma
(
η
,
η
′
)
→
γγ
and
J
/
ψ
→
(
η
,
η
′
)
γ
J/\psi\rightarrow (\eta , \eta^\prime)\gamma
J
/
ψ
→
(
η
,
η
′
)
γ
decays indicate an enhancement rather than a suppression of
F
0
F_0
F
0
​
. A substantial gluon-like contribution in
⟨
0
∣
∂
μ
j
μ
5
(
0
)
∣
γ
γ
⟩
∣
q
2
=
0
\langle 0\vert\partial^\mu j^{(0)}_{\mu_5} \vert\gamma\gamma \rangle \vert_{q^2=0}
⟨
0∣
∂
μ
j
μ
5
​
(
0
)
​
∣
γγ
⟩
∣
q
2
=
0
​
,which could parallel a similar one in the corresponding nucleon matrix element,is suggested.Comment: Latex 209,10 pages,no figure
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oai:cds.cern.ch:306453
Last time updated on 30/10/2014
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info:doi/10.1016%2F0370-2693%2...
Last time updated on 02/01/2020