Effective Lagrangian for two-photon and two-gluon decays of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>P</mml:mi></mml:math>-wave heavy quarkonium<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>χ</mml:mi><mml:mrow><mml:mi>c</mml:mi><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>χ</mml:mi><mml:

Lansberg, J. P.; Pham, T.N.

doi:10.1103/physrevd.79.094016

Cited by 33 publications

(25 citation statements)

References 40 publications

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“…For 1S and 2S states, computed di-gamma widths Γ 0 (r 0 ) at finite quark-antiquark separation without radiative correction are in good agreement with the experimental results while for χ c 0 state the results are slightly off from the experimental results but are in agreement with the other model predictions [45,59]. The di-gamma decay width Γ OR -(r 0 ) predicted for 1 3 P 2 state at finite quark-antiquark separation matches well with the experimental result, while the decay width Γ OR (0) agrees well with the experimental result.…”

Section: Resultssupporting

confidence: 76%

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Decay rates of charmonia within a quark-antiquark confining potential

2016

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In this work, we investigate the spectroscopy and decay rates of charmonia within the framework of nonrelativistic Schrödinger equation by employing an approximate inter quark-antiquark potential. The spin hyperfine, spin-orbit and tensor components of the one gluon exchange interaction are employed to compute the spectroscopy of the excited S states and few low-lying P and D waves. The resultant wave functions at zero inter quark separation as well as some finite separation are employed to predict the di-gamma, di-leptonic and di-gluon decay rates of charmonia states by using the conventional Van Royen-Weisskopf formula. The di-gamma and di-leptonic decay widths are also computed by incorporating the relativistic corrections of order v 4 within the NRQCD formalism. We have observed that the NRQCD predictions with their matrix elements computed at finite radial separation yielded results which are found to be in better agreement with experimental value for both di-gamma and di-leptonic decays. The same scenario is seen in the case when di-gamma and di-leptonic decay widths are computed with Van Royen-Weisskopf formula. It is also observed that the di-gluon decay width with the inclusion of binding energy effects are in better agreement with the experimental data available for 1S-2S and 1P. The di-gluon decay width of 3S and 2P waves waves are also predicted. Thus, the present study of decay rates clearly indicates the importance of binding energy effects.

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Section: Resultssupporting

confidence: 76%

“…The relevant theoretical expressions for the di-gluon decay widths of n 1 S 0 , n 3 P 0 and n 3 P 2 charmonia states, incorporating the leading order QCD corrections, are given by [37,[45][46][47]…”

Section: Using Van Royen-weisskopf Formulamentioning

confidence: 99%

Decay rates of charmonia within a quark-antiquark confining potential

2016

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“…The decay of χ c1 → γγ is forbidden by the Landau-Yang theorem [3]. Theoretical predictions on the decay rates are obtained using a non-relativistic approximation [4,5], potential model [6], relativistic quark model [7,8], nonrelativistic QCD factorization framework [9], effective Lagrangian [10], as well as lattice calculations [11]. The predictions for the ratio R ≡ Γγγ (χc2) Γγγ (χc0) cover a wide range values between 0.09 and 0.36 [6,8].…”

Section: γ(mentioning

confidence: 99%

Two-photon widths of theχc0,2states and helicity analysis forχc2→γγ

Ablikim¹,

Ачасов²,

Ambrose³

et al. 2012

Phys. Rev. D

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“…Various theoretical methods and estimates of two-photon and two-gluon annihilation rates are available in literature. [58][59][60][61][62][63] The radiative E1 transition rates for P -and D-wave cc and bb mesons were calculated using Eq. (20).…”

Section: Resultsmentioning

confidence: 99%

Orbitally Excited States of Quarkonia in a Nonrelativistic Model

Bhaghyesh

Kumar

2012

Int. J. Mod. Phys. A

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Having succeeded in predicting the S wave spectra and decays of cc and bb mesons, Bhaghyesh, K. B. Vijaya Kumar and A. P. Monteiro, J. Phys. G: Nucl. Part. Phys. 38, 085001 (2011), in this article, we apply our nonrelativistic quark model to calculate the spectra and decays of the orbitally excited states (P -and D-waves) of heavy quarkonia. The full QQ potential used in our model consists of a Hulthen potential and a confining linear potential. The spin hyperfine, spin-orbit and tensor interactions are introduced to obtain the masses of the P -and D-wave states. The three-dimensional harmonic oscillator wave function is employed as a trial wave function to obtain the mass spectra. The model parameters and the wave function that reproduce the mass spectra of cc and bb mesons are used to investigate their decay properties. The two-photon decay widths, twogluon decay widths and E1 radiative decay widths are calculated. The obtained values are compared with the experimental results and those obtained from other theoretical models. Int. J. Mod. Phys. A 2012.27. Downloaded from www.worldscientific.com by NEW YORK UNIVERSITY on 02/08/15. For personal use only. 1250011-2 Int. J. Mod. Phys. A 2012.27. Downloaded from www.worldscientific.com by NEW YORK UNIVERSITY on 02/08/15. For personal use only.

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Effective Lagrangian for two-photon and two-gluon decays ofP-wave heavy quarkoniumχc0,2andχ

Cited by 33 publications

References 40 publications

Decay rates of charmonia within a quark-antiquark confining potential

Decay rates of charmonia within a quark-antiquark confining potential

Two-photon widths of theχc0,2states and helicity analysis forχc2→γγ

Orbitally Excited States of Quarkonia in a Nonrelativistic Model

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