2000
DOI: 10.1016/s0375-9474(99)00837-4
|View full text |Cite
|
Sign up to set email alerts
|

Hölder inequalities and isospin splitting of the quark scalar mesons

Abstract: A Hölder inequality analysis of the QCD Laplace sum-rule which probes the non-strange (nn) components of the I = {0, 1} (light-quark) scalar mesons supports the methodological consistency of an effective continuum contribution from instanton effects. This revised formulation enhances the magnitude of the instanton contributions which split the degeneracy between the I = 0 and I = 1 channels. Despite this enhanced isospin splitting effect, analysis of the Laplace and finite-energy sum-rules seems to preclude id… Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1

Citation Types

5
31
0

Year Published

2000
2000
2024
2024

Publication Types

Select...
9

Relationship

0
9

Authors

Journals

citations
Cited by 35 publications
(36 citation statements)
references
References 71 publications
5
31
0
Order By: Relevance
“…To obtain a QCD sum rule, we first need to Borel-transform the theoretical representation of the correlation function, which gives [10][11][12][13][14][15][16][17] …”
Section: Qcd Sum Rule For I = 0 Scalar Channelmentioning
confidence: 99%
“…To obtain a QCD sum rule, we first need to Borel-transform the theoretical representation of the correlation function, which gives [10][11][12][13][14][15][16][17] …”
Section: Qcd Sum Rule For I = 0 Scalar Channelmentioning
confidence: 99%
“…The imaginary part dominates the propagator modulus in the region 300 MeV < √ s < 600 MeV. So, the σ field is described by its four-quark component at least in this energy (virtuality) region [7,8,9,10].…”
mentioning
confidence: 99%
“…(9) and (10) assume that the S wave ππ scattering amplitudes lie on the mass shell in the rescattering loop γγ → π + π − → ππ; I π + π − is the attribute of the triangle diagram…”
mentioning
confidence: 99%
“…† † Likewise, it has been argued in the literature that σ is not a qq state [37]. Furthermore, the QCD sum rule calculation also indicates that the lightest scalars are nearly decoupled from qq, suggesting a non-qq structure [38]. In short, one always has some troubles when the light scalar mesons are identified as qq states.…”
Section: Physical Properties Of Scalar Mesonsmentioning
confidence: 93%