Bottomonium spectroscopy motivated by general features of pNRQCD

Chaturvedi, Raghav; Kumar, Ajay; Soni, N.; Pandya, J. N.

doi:10.1088/1361-6471/abaa99

Cited by 16 publications

(19 citation statements)

References 102 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…we observe that our calculated di-photon decay width results for n 3 P 0 states are lower when compared to the decay widths predicted by other theoretical models, whereas decay widths for n 3 P 2 states are lower in comparison to decay widths predicted by Ref. [79,75,25,91,72,81,94,92].…”

Section: Annilation Decayscontrasting

confidence: 68%

Bottomonium spectroscopy using Coulomb plus linear (Cornell) potential

Kher¹,

Chaturvedi²,

Devlani³

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

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...

show abstract

Section: Annilation Decayscontrasting

confidence: 68%

Bottomonium spectroscopy using Coulomb plus linear (Cornell) potential

Kher¹,

Chaturvedi²,

Devlani³

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…Two-photon widths are successfully predicted with nonrelativistic quark models [21,22]. In the nonrelativistic limit two-photon widths of the meson are proportional to the square of the wave function or its derivative at the origin.…”

Section: Heavy Quarkonium Pseudoscalar Scalar and Tensor Statesmentioning

confidence: 95%

“…In Table 1 and Fig. 1 we list known cc and b b resonances with positive C-parity with experimental data from PDG [16] and summary of theoretical predictions on their masses and two-photon widths [18][19][20][21][22].…”

Section: Heavy Quarkonium Pseudoscalar Scalar and Tensor Statesmentioning

confidence: 99%

See 1 more Smart Citation

Opportunities for studying C+ resonances at 3--12 GeV photon collider

Beloborodov¹,

Kharlamova²,

Moortgat-pick³

et al. 2022

Preprint

View full text Add to dashboard Cite

Recently, a γγ collider based on existing 17.5 GeV linac of the European XFEL has been proposed. High energy photons will be generated by Compton scattering of laser photons with a wavelength of 0.5-1 µm on electrons. Such photon collider covers the range of invariant masses W γγ < 12 GeV. The physics program includes spectroscopy of C+ resonances (c-, b-quarkonia, 4-quark states, glueballs) in various J P states. Variable circular and linear polarizations will help in determining the quantum numbers. In this paper, we present a summary of measured and predicted two-photon widths of various resonances in the mass region 3-12 GeV and investigate the experimental possibility of observing these heavy two-photon resonances under conditions of a large multi-hadron background. Registration of all final particles is assumed. The minimum values of Γ γγ for detecting resonances at the 5 sigma level are obtained.

show abstract

“…The thresholds for the charmonium and bottomunium systems are approximately 3.71 and 10.50 GeV, respectively [2]. Many charmonium and bottomonium states below thresholds have been experimentally observed and theoretically studied through various relativistic and non-relativistic potential models [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19] and approaches like chiral perturbation theory [20], heavy quark effective field theory, lattice QCD [21][22][23][24][25][26][27][28][29][30][31], QCD sum rules [32][33][34][35][36][37][38], NRQCD [39][40][41], and dynamical equations based approaches like Bethe Salpeter and Dyson-Schwinger equations [41][42][43][44]. The heavy quarkonia were observed so far, still have many puzzles [17].…”

Section: Introductionmentioning

confidence: 99%

Mass Spectrum and Decay Constants of Heavy Quarkonia

Ahmad

Hussain

Sultan

2021

PPASA

View full text Add to dashboard Cite

In this paper, a non-relativistic potential model is used to find the solution of radial Schrodinger wave equation by using Crank Nicolson discretization for heavy quarkonia ( ̅, ̅). After solving the Schrodinger radial wave equation, the mass spectrum and hyperfine splitting of heavy quarkonia are calculated with and without relativistic corrections. The root means square radii and decay constants for S and P states of c ̅ and ̅ mesons by using the realistic and simple harmonic oscillator wave functions. The calculated results of mass, hyperfine splitting, root means square radii and decay constants agreed with experimental and theoretically calculated results in the literature.

show abstract

Bottomonium spectroscopy motivated by general features of pNRQCD

Cited by 16 publications

References 102 publications

Bottomonium spectroscopy using Coulomb plus linear (Cornell) potential

Bottomonium spectroscopy using Coulomb plus linear (Cornell) potential

Opportunities for studying C+ resonances at 3--12 GeV photon collider

Mass Spectrum and Decay Constants of Heavy Quarkonia

Contact Info

Product

Resources

About