On Some Properties of a Meson

Bhattacharya, A.; Chakrabarti, B.; Banerjee, S. N.

doi:10.1142/s0217751x02011515

Cited by 13 publications

(8 citation statements)

References 8 publications

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“…The fractal dimension for hadron has been found to be D = 9/2 [16] when the topological dimension D T = 3. The fractal dimension indicates the measure of complexity of a system which can not be shown by the integer dimensions.…”

Section: Formulationmentioning

confidence: 99%

“…In the current work we have studied the fractional charges of quarks considering the fractal dimension of hadrons. In our previous works we have studied the hadron properties describing it as a fractal object with fractal dimension 9/2 [15][16][17]. We have suggested that each quark in presence of the chromo-magnetic vacuum behaves like a quasi particle in an analogy with the quasi particles in Fractional Quantum Hall Effect and their fractional charges can be attributed to the fractal dimension of the hadrons.…”

Section: Introductionmentioning

confidence: 99%

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Fractional Charge of Quarks and Fractal Properties of Hadrons

Bhattacharya¹,

Pal²,

Bhattacharya³

et al. 2021

JPP

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The origin of fractional charge of a quark is investigated considering the fractal structure of a hadron. Hadron is suggested to be a fractal object with fractal dimension 9/2. Describing quark as a quasiparticle in an analogy with quasi particle in Fractional Quantum Hall Effect, the filling factors are extracted which show large fractional plateau. It is suggested that quarks behave like quasi particles and the fractional charges of quarks can be attributed to the fractal behavior of a hadron.

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Section: Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Fractional Charge of Quarks and Fractal Properties of Hadrons

Bhattacharya¹,

Pal²,

Bhattacharya³

et al. 2021

JPP

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“…The wave function for pentaquark baryon has been used as obtained in the context of the statistical model [25][26][27][28] which runs as…”

Section: Mass and The Decay Width Of +mentioning

confidence: 99%

On Some Properties of (Θ+) Excited States

2011

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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

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“…The statistical model, since its very inception three decades ago, has undergone various applications with success [1,2,3]. The model has a deep rooted concept of a relation between quark matter and the space embedded in it and has explained and predicted a number of interesting and bizzare features [4,5,6].…”

Section: Introductionmentioning

confidence: 99%

On The Prediction of The Statistical Model

Banerjee,

Ghosh,

Bhattacharya

2014

Preprint

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The number of quark flavours n f , has been derived to be equal to 6 in agreement with the experimental observations. The colour factor ratio C A C F has also been computed and is found to be in exact agreement with the corresponding QCD prediction. Further, the e + e − pair annihilation cross section into hadrons at very high energy is found to be a function only of the fractal dimension of the hadron.

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On Some Properties of a Meson

Cited by 13 publications

References 8 publications

Fractional Charge of Quarks and Fractal Properties of Hadrons

Fractional Charge of Quarks and Fractal Properties of Hadrons

On Some Properties of (Θ+) Excited States

On The Prediction of The Statistical Model

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