Vacuum Properties of Mesons in a Linear Sigma Model with Vector Mesons and Global Chiral Invariance

Parganlija, Denis; Giacosa, Francesco; Rischke, Dirk H.

doi:10.48550/arxiv.1003.4934

Cited by 49 publications

(160 citation statements)

References 0 publications

Supporting

Mentioning

153

Contrasting

Unclassified

Order By: Relevance

“…However, the model of Ref. [6] contained no strange mesons and in this paper we address the question whether the conclusion of Ref. [6] regarding f 0 (1370) as a predominantly qq state also holds in a more general U (3) L × U (3) R approach that simultaneously allows for a statement regarding the structure of f 0 (1710) (which we find to be predominantly of ss nature).…”

Section: Introductionmentioning

confidence: 89%

“…Note that in this paper we are using a different way to model the chiral anomaly (see Ref. [7] and references therein) than in our previous papers [4,5,6,8,9] where the 't Hooft form of the chiral-anomaly term reading c(det Φ + det Φ † ) was used [10]. The reason is that the chiral-anomaly term now present in our Lagrangian (1) influences, as one would expect, only the phenomenology of the pseudoscalar singlets (i.e., η and η ′ ), whereas the 't Hooft form of the chiral-anomaly term influences the phenomenology of other mesons (such as, e.g., the σ states) as well [11].…”

Section: The Modelmentioning

confidence: 99%

“…In the non-strange sector, we assign the fields π and η N to the pion and the SU (2) counterpart of the η meson, η N ≡ (ūu + dd)/ √ 2. The fields ω µ N , ρ µ , f µ 1N and a µ 1 are assigned to the ω(782), ρ(770), f 1 (1285) and a 1 (1260) mesons, respectively [6]. In the strange sector, we assign the K fields to the kaons; η S is the strange contribution to the η and η ′ fields and the ω µ S , f µ 1S , K ⋆µ and K µ 1 fields correspond to the φ(1020), f 1 (1420), K ⋆ (892) and K 1 (1270) mesons, respectively.…”

Section: The Modelmentioning

confidence: 99%

“…[6], we assign the a 0 field to a 0 (1450) and, consequently, K S to the physical K ⋆ 0 (1430) state. This, of course, presupposes that these two states above 1 GeV are qq states (as all the fields present in our model are qq states [6]) and thus one needs to determine whether such an assignment allows for a global fit with a correct description of meson phenomenology to be found.…”

Section: The Modelmentioning

confidence: 99%

“…In Ref. [6], the resonance f 0 (1370) was found to be predominantly of qq nature [thus disfavouring the interpretation of the scalar state f 0 (600) as a qq state]. However, the model of Ref.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

The quest for light scalar quarkonia from an Nf=3 linear sigma model with vectors and axial-vectors

Parganlija¹

2012

Proceedings of XXIst International Europhysics Conference on High Energy Physics — PoS(EPS-HEP2011)

Self Cite

View full text Add to dashboard Cite

Features of the non-strangenn and strangess scalar mesons are investigated in the Extended Linear Sigma Model (eLSM) with N f = 3 and vector and axial-vector mesons. Our model contains a pure non-strange and a pure strange scalar state; implementing the mixing of the two states originates two new states, a predominantly non-strange and a predominantly strange one. We investigate the possibility to assign the two mixed states to experimentally well-established resonances. To this end, we calculate the masses and the two-pion decay widths of the mixed states and compare them with experimental data. The predominantly non-strange state is found to be consistent with the resonance f 0 (1370) and the predominantly strange state with the resonance f 0 (1710).

show abstract

Section: Introductionmentioning

confidence: 89%

Section: The Modelmentioning

confidence: 99%

Section: The Modelmentioning

confidence: 99%

Section: The Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

The quest for light scalar quarkonia from an Nf=3 linear sigma model with vectors and axial-vectors

Parganlija¹

2012

Proceedings of XXIst International Europhysics Conference on High Energy Physics — PoS(EPS-HEP2011)

Self Cite

View full text Add to dashboard Cite

show abstract

Does nuclear matter bind at large ?

Bonanno¹,

Giacosa²

2011

Nuclear Physics A

Self Cite

View full text Add to dashboard Cite

The existence of nuclear matter at large N c is investigated in the framework of effective hadronic models of the Walecka type. This issue is strongly related to the nucleon-nucleon attraction in the scalar channel, and thus to the nature of the light scalar mesons. Different scenarios for the light scalar sector correspond to different large N c scaling properties of the parameters of the hadronic models. In all realistic phenomenological scenarios for the light scalar field(s) responsible for the attraction in the scalar channel it is found that nuclear matter does not bind in the large N c world. We thus conclude that N c = 3 is in this respect special: 3 is fortunately not large at all and allows for nuclear matter, while large N c would not.

show abstract

Mixing among lowest-lying scalar mesons and scalar glueball

2018

View full text Add to dashboard Cite

Scalar glueball is implemented in single nonet linear sigma model (SNLSM) which basically includes lowest lying scalar and pseudoscalar mesons. Our new version of SNLSM involves mixing among scalar matter fields and glueball field which is enforced by scale symmetry considerations and the associated anomaly. Performing iterative Monte Carlo simulations, it is found that among the three candidates of scalar glueball, i.e., f0(1370), f0(1500) and f0 (1710), only f0 (1500) is predominately a glueball state with the mass prediction of 1.566 ± 0.046 GeV and the other two are predominately quarkonium. The ππ, πK and πη scatterings are reinvestigated in the presence of scalar glueball and it is found that the overall behavior of the real part of the K-matrix unitarized ππ scattering amplitude is more compatible with observed data compared with the case of SNLSM without glueball. We have also presented the predictions of the model for the masses and decay widths of the scalars obtained from the poles of the K-matrix unitarized ππ, πK and πη scattering amplitudes. Moreover the ππ scattering phase shift predicted by our model is compared with the prediction of generalized linear sigma model (GLSM) which contains two nonets of scalar mesons and two nonets of pseudoscalar mesons (a quark-antiquark nonet and a four-quark nonet). Despite the fact that at this stage our model lacks the second meson nonet above 1 GeV, its prediction for the ππ scattering phase shift is close to the prediction of GLSM for √ s < 1.1 GeV and in better agreement with experimental data for √ s > 1.1 GeV in comparison with GLSM.

show abstract

Vacuum Properties of Mesons in a Linear Sigma Model with Vector Mesons and Global Chiral Invariance

Cited by 49 publications

References 0 publications

The quest for light scalar quarkonia from an Nf=3 linear sigma model with vectors and axial-vectors

The quest for light scalar quarkonia from an Nf=3 linear sigma model with vectors and axial-vectors

Does nuclear matter bind at large ?

Mixing among lowest-lying scalar mesons and scalar glueball

Contact Info

Product

Resources

About