Isgur–Wise function within a QCD quark model with Airy's function as the wave function of heavy–light mesons

Roy, Sudhir C.; Bordoloi, N S; Choudhury, D. K.

doi:10.1139/cjp-2012-0165

Cited by 20 publications

(17 citation statements)

References 40 publications

(58 reference statements)

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“…This important point was overlooked in earlier publications [7,8,9] of the subject, but the present work takes into account this.…”

Section: The Total Wave Functions With An Improved Perturbative Approachmentioning

confidence: 61%

“…We have applied the perturbatively compatible approach to the QCD potential model studied earlier [7,8,9,24,27] and computed the upper and lower bounds of the RMS radii of heavy light mesons. The theoretical prediction of bound for cc meson is shown in table-3 .…”

Section: Discussionmentioning

confidence: 99%

“…[7,8,9] by considering the Dalgarno's method [10,11] of perturbation. The results include static and dynamical properties of heavy flavored mesons, like their form factors, masses, decay constants as well as Isgur wise function.…”

Section: Introductionmentioning

confidence: 99%

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RMS and charge radii in a potential model

2016

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The Dalgarno's method of perturbation is used to solve the Schrodinger's equation with the Cornell potential V (r) = − 4αs 3r + br + c. The short range and long range effect of the potential is incorporated in the same wave function by using two scales r S and r L as an integration limit. With the wave function then the results for bounds on r.m.s. radii of various heavy flavored mesons are reported. We have also showed the relation between r.m.s. and charge radius of mesons.

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“…This important point was overlooked in earlier publications [7,8,9] of the subject, but the present work takes into account this.…”

Section: The Total Wave Functions With An Improved Perturbative Approachmentioning

confidence: 61%

Section: Discussionmentioning

confidence: 99%

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RMS and charge radii in a potential model

2016

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“…We can now introduce Lagrange's undetermined multipliers λ I andλ I associated with constraints in Eqs. (29) and (30) and add them to the expression for energy. This gives…”

Section: Thomas Fermi Quark Equationsmentioning

confidence: 99%

Application of the Thomas Fermi quark model to multiquark mesons

Baral

Wilcox

2019

Nuclear Physics A

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The possibility of the existence of mesons with two or more quark-antiquark pairs is investigated with a new application of the Thomas-Fermi (TF) statistical quark model. Quark color couplings are treated in a mean field manner similar to a previous application to baryons, and short and concise expressions for energies are derived. We find that, on average, quarks only interact with antiquarks in such systems. The TF differential equation is constructed and systems with heavy-light quark content are examined. Three types of mesonic systems are defined. In the case of charm quarks, multicharmonium, multi-Z meson and multi-D meson family types are examined. System analogs for bottom quarks are also constructed. Quantitative trends for system energies of mesonic quark matter are extracted as a function of the number of quark pairs. We find indications from energy plots that multi-Z type mesons (and their bottom quark analogs) are actually stable for a range of quark number pairs. At this initial stage we have not yet included explicit spin interaction couplings between quarks, but we can take one level of degeneracy into account in our two-inequivalent TF function construction.

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“…where a 1 = 0.3550281, b 1 = 0.2588194 are constants in Airy's infinite polynomial [25]. Considering the z −3 coefficients of Eq.…”

Section: Mesonic Wave Functionmentioning

confidence: 99%

The semileptonic $$\bar{B}\rightarrow D\ell \bar{\nu }$$ B ¯ → D ℓ ν ¯ and $$\bar{B}_s \rightarrow D_s \ell \bar{\nu }$$ B ¯ s → D s ℓ ν ¯ decays in Isgur–Wise approach

2014

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We consider a combination of linear confining and Hulthén potentials in the Hamiltonian and, via the perturbation approach, report the corresponding Isgur-Wise function parameters. Next, we investigate the Isgur-Wise function forB → D ν andB s → D s ν semileptonic decays and report the decay width, branching ratio, and |V cb |CKM matrix element. A comparison with other models and experimental values is included.

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Isgur–Wise function within a QCD quark model with Airy's function as the wave function of heavy–light mesons

Cited by 20 publications

References 40 publications

RMS and charge radii in a potential model

RMS and charge radii in a potential model

Application of the Thomas Fermi quark model to multiquark mesons

The semileptonic $$\bar{B}\rightarrow D\ell \bar{\nu }$$ B ¯ → D ℓ ν ¯ and $$\bar{B}_s \rightarrow D_s \ell \bar{\nu }$$ B ¯ s → D s ℓ ν ¯ decays in Isgur–Wise approach

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