Spectroscopy and decay properties of charmonium

Kher, Virendrasinh; Kumar, Ajay

doi:10.1088/1674-1137/42/8/083101

Cited by 59 publications

(42 citation statements)

References 178 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Thus, the above findings, Eqs. (71) and (72), reinforce our conclusion obtained in the f V case that the replacement M → M 0 is required to give self-consistent results for the decay constants in both the CLF and the SLF quark model.…”

Section: Decay Constants Of 1 a And 3 A Mesonssupporting

confidence: 85%

Self-consistency and covariance of light-front quark models: Testing via P , V , and A meson decay constants, and
Chang
¹
,
Li
²
,
Li
³

et al. 2018
Phys. Rev. D
39
5
37
0
View full text Add to dashboard Cite

In this paper, we test the self-consistencies of the standard and the covariant light-front quark model and study the zero-mode issue via the decay constants of pseudoscalar (P ), vector (V ) and axial-vector (A) mesons, as well as the P → P weak transition form factors. With the traditional type-I correspondence between the manifestly covariant and the light-front approach, the resulting f V as well as f1 A and f3 A obtained with the λ = 0 and λ = ± polarization states are different from each other, which presents a challenge to the self-consistency of the covariant light-front quark model. However, such a self-consistency problem can be "resolved" within the type-II scheme, which requires an additional replacement M → M 0 relative to the type-I case. Moreover, the replacement M → M 0 is also essential for the self-consistency of the standard light-front quark model.In the type-II scheme, the valence contributions to the physical quantities (Q) considered in this paper are always the same as that obtained in the standard light-front quark model, [Q] val. = [Q] SLF , and the zero-mode contributions to f V, 1 A, 3 A and f − (q 2 ) exist only formally but vanish numerically, which further implies that [Q] val.= [Q] full . In addition, the manifest covariance of the covariant light-front quark model is violated in the traditional type-I scheme, but can be recovered by taking the type-II correspondence.The standard light-front (SLF) quark model [1][2][3][4] based on the light-front (LF) formalism [5] provides a conceptually simple but phenomenologically feasible framework for calculating the non-perturbative quantities of hadrons, such as the decay constants, transition form factors, distribution amplitudes and so on . In the SLF approach, the constituent quark and antiquark in a bound-state are required to be on their respective mass-shells, the physical quantities are computed directly in three-dimensional LF momentum space, and the plus component (µ = +, the so-called "good" component) of the current matrix elements is usually taken in order to avoid the zero-mode contribution. Obviously, the Lorentz covariance of the matrix elements obtained in the SLF quark model is lost. Moreover, the usual recipe to avoid the zero-mode contributions by taking the plus component is in fact always invalid for many cases, for instance, the composite spin-1 systems [28]. While the zero-mode issue is highly nontrivial and deserves careful analyses [29], the SLF quark model is powerless for determining the zero-mode contributions by itself. Because of these shortcomings, the SLF quark model was soon superseded by the manifestly covariant light-front (CLF) quark model. The CLF quark model was firstly exploited by Jaus [28], Choi and Ji [29], as well as Cheng et al. [30], with the help of the manifestly covariant Bethe-Salpeter (BS) approach [31, 32],and has been further studied in Refs. [33][34][35][36][37][38][39]. Compared to the SLF approach, the CLF quark model is characterized by the following two distinguished features: it prov...

show abstract

Section: Decay Constants Of 1 a And 3 A Mesonssupporting

confidence: 85%

Self-consistency and covariance of light-front quark models: Testing via P , V , and A meson decay constants, and
Chang
¹
,
Li
²
,
Li
³

et al. 2018
Phys. Rev. D
39
5
37
0
View full text Add to dashboard Cite

show abstract

“…The same interpretation for the X (4274) was proposed in Ref. [97]. In a study of heavy quarkonium hybrids based on the strong coupling regime of pNRQCD [98], the authors found out that the X (4274) is compatible with a χ c1 (3P) state, which may be affected by the D * + s D * − s threshold.…”

Section: (4274): Other Interpretationssupporting

confidence: 63%

Quark structure of the $$\chi _{\mathrm{c}}(3P)$$ and X(4274) resonances and their strong and radiative decays

et al. 2020

View full text Add to dashboard Cite

We calculate the masses of χ c (3P) states with threshold corrections in a coupled-channel model. The model was recently applied to the description of the properties of χ c (2P) and χ b (3P) multiplets (Ferretti and Santopinto in Phys Lett B 789:550, 2019]. We also compute the open-charm strong decay widths of the χ c (3P) states and their radiative transitions. According to our predictions, the χ c (3P) states should be dominated by the charmonium core, but they may also show small meson-meson components. The X (4274) is interpreted as a cc χ c1 (3P) state. More information on the other members of the χ c (3P) multiplet, as well as a more rigorous analysis of the X (4274)'s decay modes, are needed to provide further indications on the quark structure of the previous resonance.

show abstract

“…The Hamiltonian matrix was constructed and diagonalised to obtain the masses and wavefunctions of charmonium states. In Table 2, we compare the masses of radially and orbitally excited c c states with experiment [6] and other theoretical predictions [7,10,[59][60][61][62]. Authors in refs.…”

Section: Discussion and Summarymentioning

confidence: 99%

“…Authors in refs. [7,[59][60][61][62] have also used Cornell type potential to study the c c system, where as in ref. [10], authors use a screened potential.…”

Section: Discussion and Summarymentioning

confidence: 99%

Charmonium Properties Using the Discrete Variable Representation (DVR) Method

Bhaghyesh

2021

Advances in High Energy Physics

View full text Add to dashboard Cite

The Schrödinger equation is solved numerically for charmonium using the discrete variable representation (DVR) method. The Hamiltonian matrix is constructed and diagonalized to obtain the eigenvalues and eigenfunctions. Using these eigenvalues and eigenfunctions, spectra and various decay widths are calculated. The obtained results are in good agreement with other numerical methods and with experiments.

show abstract

Spectroscopy and decay properties of charmonium

Cited by 59 publications

References 178 publications

Self-consistency and covariance of light-front quark models: Testing via P , V , and A meson decay constants, and
Chang
¹
,
Li
²
,
Li
³

et al. 2018
Phys. Rev. D
39
5
37
0
View full text Add to dashboard Cite

Self-consistency and covariance of light-front quark models: Testing via P , V , and A meson decay constants, and
Chang
¹
,
Li
²
,
Li
³

et al. 2018
Phys. Rev. D
39
5
37
0
View full text Add to dashboard Cite

Quark structure of the $$\chi _{\mathrm{c}}(3P)$$ and X(4274) resonances and their strong and radiative decays

Charmonium Properties Using the Discrete Variable Representation (DVR) Method

Contact Info

Product

Resources

About

Spectroscopy and decay properties of charmonium

Cited by 59 publications

References 178 publications

Self-consistency and covariance of light-front quark models: Testing via P , V , and A meson decay constants, and Chang1, Li2, Li3 et al. 2018Phys. Rev. D395370View full textAdd to dashboardCite

Self-consistency and covariance of light-front quark models: Testing via P , V , and A meson decay constants, and Chang1, Li2, Li3 et al. 2018Phys. Rev. D395370View full textAdd to dashboardCite

Quark structure of the $$\chi _{\mathrm{c}}(3P)$$ and X(4274) resonances and their strong and radiative decays

Charmonium Properties Using the Discrete Variable Representation (DVR) Method

Contact Info

Product

Resources

About

Self-consistency and covariance of light-front quark models: Testing via P , V , and A meson decay constants, and
Chang
¹
,
Li
²
,
Li
³

et al. 2018
Phys. Rev. D
39
5
37
0
View full text Add to dashboard Cite

Self-consistency and covariance of light-front quark models: Testing via P , V , and A meson decay constants, and
Chang
¹
,
Li
²
,
Li
³

et al. 2018
Phys. Rev. D
39
5
37
0
View full text Add to dashboard Cite