Positive parity pentaquark towers in large<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>N</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:math>QCD

Pirjol, Dan; Schat, Carlos

doi:10.1103/physrevd.75.076004

Cited by 6 publications

(5 citation statements)

References 105 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The matching calculation for two different models confirms the scalings and the completeness of the set of effective operators considered in [6]. We find that the criticism of Matagne and Stancu [11,12] of the usual 1/N c expansion for excited baryons [4,5,6,7,8,9,10] is unfounded, and the disagreement with existing work is due to ignoring operators transforming like nonsinglets under S sf N . As an application of our results, we point out that the models for quark dynamics dis- The spin-flavor baryon states are constructed by taking products of one-body states with spin and isospin |u ↑ , |u ↓ , |d ↑ , |d ↓ .…”

Section: Introductionsupporting

confidence: 67%

See 1 more Smart Citation

Permutation groupSNand largeNcexcited baryons

Pirjol¹,

Schat

2008

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

We study the excited baryon states for an arbitrary number of colors N c from the perspective of the permutation group S N of N objects. Classifying the transformation properties of states and quark-quark interaction operators under S N allows a general analysis of the spin-flavor structure of the mass operator of these states, in terms of a few unknown constants parameterizing the unknown spatial structure. We explain how to perform the matching calculation of a general twobody quark-quark interaction onto the operators of the 1/N c expansion. The inclusion of core and excited quark operators is shown to be necessary. Considering the case of the negative parity L = 1 states transforming in the M S of S N , we discuss the matching of the one-gluon and the Goldstone-boson exchange interactions.

show abstract

Section: Introductionsupporting

confidence: 67%

“…The 1/N c expansion has been applied also to orbitally excited baryons, up to subleading order in 1/N c [4,5,6,7,8,9,10]. The structure of the operators contributing to the physical properties of these states is more complicated.…”

Section: Introductionmentioning

confidence: 99%

Permutation groupSNand largeNcexcited baryons

Pirjol¹,

Schat

2008

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

show abstract

“…The matching calculation for two different models confirms the scalings and the completeness of the set of effective operators considered in [6]. We find that the criticism of Matagne and Stancu [11,12] of the usual 1/N c expansion for excited baryons [4,5,6,7,8,9,10] is unfounded, and the disagreement with existing work is due to ignoring operators transforming like nonsinglets under S sf N . As an application of our results, we point out that the models for quark dynamics discussed here make definite predictions for the phenomenology of the excited baryons, in the form of a hierarchy of the coefficients of operators in the 1/N c expansion.…”

Section: Introductionsupporting

confidence: 67%

The permutation group S_N and large Nc excited baryons

Pirjol,

Schat

2007

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…and Takagi [10] have proposed the higher energy states and decay width of pentaquark with the use of WKB approximation in the context of flux tube model whereas Pirjal and Schat [11] have constructed a complete set of positive parity pentaquark considering it's higher states. Bijker et al [12] have investigated the mass spectroscopy of the exotic pentaquark in the algebraic string like model.…”

mentioning

confidence: 99%

On Some Properties of (Θ+) Excited States

2011

View full text Add to dashboard Cite

The mass splitting and the decay width of pentaquark ( + ) at the higher angular momentum states have been investigated in the framework of flux tube model considering the diquark-diquark-antiquark configuration for + along with statistical model. A quasi particle model for diquark has been considered. The Regge trajectory of + has also been investigated with interesting some observations. Keywords Exotic particle · Quasiparticle · Decay width · Regge trajectory · Mass spectrum Diakonov et al. theoretically proposed the low mass (1530 MeV) and total decay width ( < 15 MeV) of + baryon in the framework of chiral soliton model [1] denoting the exotic baryon as a pentaquark state. The LEPS collaboration [2] reported the first experimental evidence of a sharp baryon resonance peak at 1540 ± 10 MeV with a width smaller than 25 MeV whereas, SAPHIR [3] detector detected the resonance peak at 1540 ± 4 ± 2 MeV with < 25 MeV at 90 percent c.l. ZEUS collaboration [4] reported the experimental existence of pentaquark ( + ) suggesting the mass to be 1521.5 ± 1.5 MeV and decay width 6.1 ± 1.6 MeV whereas CLAS collaboration [5,6] suggested the value to be 1555 ± 10 MeV and decay width ≤ 26 MeV. Since LEPS collaboration reported the existence of + resonance several groups confirm the state whereas a number of experiments gives null result. The next generation of experiments have been taken by JLAB, CLAS for further search.The theoretical states of + has been studied by Doi [7] in the direct QCD calculation. The low lying states of this exotic baryon have been investigated in the context of pseudoscalar vector skryme model by . Diakonov [9] has made a mean field approach to study the pentaquark excitation using SU(3) flavor symmetries. Iwasaki

show abstract

Positive parity pentaquark towers in largeNcQCD

Cited by 6 publications

References 105 publications

Permutation groupSNand largeNcexcited baryons

Permutation groupSNand largeNcexcited baryons

The permutation group S_N and large Nc excited baryons

On Some Properties of (Θ+) Excited States

Contact Info

Product

Resources

About