Importance of confinement in instanton induced potential for bottomonium spectroscopy

Pandya, Bhoomika; Shah, Manan; Vinodkumar, P. C.

doi:10.1140/epjc/s10052-021-08901-7

Cited by 9 publications

(23 citation statements)

References 105 publications

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“…[75,72,79] while it is comparatively in good agreements with decay widths predicted by Ref. [24,94,85]. Our calculated di-gluon decay widths for the n 3 P 2 and n 1 D 2 states, are in good agreements with the other theoretical estimates.…”

Section: Annilation Decayssupporting

confidence: 88%

“…[79] Ref. [24] Υ(1 The state Υ ( 10860) is generally assigned to be the 5 3 S 1 state. However other possible interpretations such as a mixing of Υ (5S) with a lowest P-wave hybrid [96] is also considered.…”

Section: Masses Of S Statesmentioning

confidence: 99%

“…Fresh study of these two states was conducted at BELL in 2019 by [18], the calculated masses found are 10885.3 ± 1.5 +2.2 −0.9 and 11000.0 +4.0 Ref. [19,23] suggest Υ(10860) as 5 3 S 1 bottomonium state, while [24] and [25] suggests it as an admixture of 5 3 S 1 and 6 3 D 1 , and 5 3 S 1 and 5 3 D 1 states. Υ (11020) has been suggested as an admixture of 6 3 S 1 and 5 3 D 1 by [25,24], also it has been well reproduced by other potential models that take into account coupled channel effects [26].…”

mentioning

confidence: 99%

“…[19,23] suggest Υ(10860) as 5 3 S 1 bottomonium state, while [24] and [25] suggests it as an admixture of 5 3 S 1 and 6 3 D 1 , and 5 3 S 1 and 5 3 D 1 states. Υ (11020) has been suggested as an admixture of 6 3 S 1 and 5 3 D 1 by [25,24], also it has been well reproduced by other potential models that take into account coupled channel effects [26]. Further, the next generation B-factory experiment Belle II at SuperKEKB collider with luminosity approximately 50 times greater than Belle I will offer promising prospects for bottomonium physics.…”

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confidence: 99%

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Bottomonium spectroscopy using Coulomb plus linear (Cornell) potential

Kher¹,

Chaturvedi²,

Devlani³

et al. 2022

Preprint

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The coulomb plus linear (Cornell) potential is used to investigate the mass spectrum of bottomonium. Gaussian wave function is used in position and momentum space to estimate values of potential and kinetic energies, respectively. Based on our calculations, we study newly observed Υ (10860) as an admixture of 43 S 1 with 4 3 D 1 , and Υ (10753) as an admixture of 6 3 S 1 with 4 3 D 1 also, we try to assign Υ(11020) as a pure 43 D 1 bottomonium state. We also study the Regge trajectories in the (J, M 2 ) and (n r , M 2 ) planes to help prove our association. We estimate the pseudoscalar and vector decay constants, the radiative (Electric and Magnetic Dipole) transition rates, and the annihilation decay width for bottomonium states. PACS. XX.XX.XX No PACS code given 1 Introduction Bottomonium (bb meson) was discovered as Υ, Υ ′ and Υ ′′ by the E288 Collaboration at Fermilab in 1977, and were substantially studied at various e + e − storage rings[1,2]. In 1982, χ bJ (2P ) states and in 1983, χ bJ (2P ), (J = 1, 2, 3) states were discovered in E1 transition from Υ ′′ [3,4] and Υ ′ [5,6], respectively. In 1984, Υ(4S), Υ(5S) and Υ(6S) states were observed [7,8]. In 2008, after three decade of discovery of Υ(nS) resonance, the BaBar Collaboration found η b , the pseudoscalar partner of the triplet state Υ(1S)[9]. In 2012, the Belle collaboration reported the first evidence of the η b (2S) with mass 9999 ± 3.5 +2.8 −1.9 ,M eV /c 2 using h b (2P ) → γη b (2S) transition and first observation of h b (1P ) → γη b (1S) and h b (2P ) → γη b (1S) with mass 9402 ± 1.5 ± 1.8 M eV /c 2 [10]. In 2004, CLEO Collaboration presented the first evidence for the production of Υ(1S)(1D) states in the fourphoton cascade, such as in a two-photon cascade starting from the Υ(3S) → γχ b (2P J ), χ b (2P J ) → γΥ(1D) and then select events with two more subsequent photon transitions, Υ(1D) → γχ b (1P J ), χ b (1P J ) → γΥ(1S), followed by the Υ(1S) annihilation into either e + e − or µ + µ − [11]. In 2010, the BABAR Collaboration reported the observation of the J = 2 state of Υ(1 3 D J ) in the hadronic π + π − Υ(1S) decay channel, with Υ(1S) → e + e − or µ + µ − [12]. In 2011, BABAR Collaboration reported evidence for the h b (1P ) state in the decay Υ(3S) → π0h b (1P ), with data sample corresponds to 28 f b −1 of integrated luminosity at a center of mass energy of 10.355 GeV, the mass of the Υ(3S) resonance and in the same year, the Belle Collaboration reported the first observation of the spin-singlet bottomonium states h b (1P ) and h b (2P ) produced via e + e − → h b (nP )π + π − transition corresponds to 121.4 f b −1 of integrated luminosity near the peak of the Υ(5S) resonance at a center-of-mass energy √ s ∼ 10.865 GeV[13]. Again in 2011, ATLAS Collaboration observed the χ b (nP ) states, recorded by the ATLAS detector during the proton-proton collisions at the LHC, run at a center-of-mass energy √ s ∼ 7 T eV and these states were reconstructed through their radiative decays to Υ(1S, 2S) with Υ → µ + µ − . In addition to the mass pea...

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Section: Annilation Decayssupporting

confidence: 88%

Section: Masses Of S Statesmentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Bottomonium spectroscopy using Coulomb plus linear (Cornell) potential

Kher¹,

Chaturvedi²,

Devlani³

et al. 2022

Preprint

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“…with α 1 = 1.035, α 2 = 0.3977 GeV, c 0 = 0.3418 GeV, γ = 0.8639 and c 1 = 0.4123 GeV GeV as in the previous study [32,42,43]. Other model parameters employed in the present study are listed in Table 4.…”

Section: The Realtivistic Dirac Model For Heavy-light Mesonic Systemsmentioning

confidence: 98%

Mass spectroscopy and strong decays of excited open charm $${D}_{J}$$ mesons using relativistic Dirac formalism

2021

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The mass spectra for the heavy-light $$(c{\bar{q}}) ;$$ ( c q ¯ ) ; $$q = u$$ q = u or d charmed mesons are computed based on a relativistic framework. The low-lying 1P states are found to be in an excellent agreement with the PDG reported values. Using the computed mass spectra and following effective Lagrangian approach based on heavy quark and chiral symmetry, the OZI allowed two body strong decays are computed. The computed decay rates, ratios and branching fractions allow us to identify the proper spin-parity assignments of the newly observed charm states. Accordingly, we could identify $$D_J(2560)$$ D J ( 2560 ) as $$2^1S_0$$ 2 1 S 0 , $$D_J^*(2680)$$ D J ∗ ( 2680 ) as $$2^3S_1$$ 2 3 S 1 , $$D_J(2740)$$ D J ( 2740 ) as $$1^3D_2$$ 1 3 D 2 , $$D_J^*(2760)$$ D J ∗ ( 2760 ) as $$1^3D_3$$ 1 3 D 3 , $$D^*_J(3000)$$ D J ∗ ( 3000 ) as $$2^3P_0$$ 2 3 P 0 , $$D_J(3000)$$ D J ( 3000 ) as $$2^1P_1$$ 2 1 P 1 and $$D^*_2(3000)$$ D 2 ∗ ( 3000 ) as $$1^3F_2$$ 1 3 F 2 open charm states. The effective coupling constants, $$g_T$$ g T , $$\tilde{g_H}$$ g H ~ , $$g_Y$$ g Y , $$\tilde{g_S}$$ g S ~ and $$g_Z$$ g Z extracted from the present study are found to be in accordance with the reported values. These coupling constants would be useful in further investigations. We found $$D^{*+} \pi ^-$$ D ∗ + π - as a favorable channel for the experimental search of the missing $$1^1F_3$$ 1 1 F 3 state.

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