The Isgur–wise Function in a QCD Inspired Quark Model

Choudhury, D. K.; Bordoloi, N S

doi:10.1142/s0217751x00002743

Cited by 11 publications

(25 citation statements)

References 21 publications

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“…The spin-independent Fermi-Breit Hamiltonian for ground state (l = 0), neglecting the contact term proportional to δ 3 , is [16,17]:…”

Section: The Wavefunctionmentioning

confidence: 99%

“…It is worth notable that in the limit cA 0 → 0, there will be no bounds on α s as well as on ρ 2 and C; rather, fixed values of α s have to be used to get definite set of ρ 2 and C. So, in that case, the analysis will turn to that of [17,18] where large confinement could not be (i.e. b = 0.183 GeV 2 ) incorporated, e.g.…”

Section: Conclusion and Remarksmentioning

confidence: 99%

“…Sometimes back, a specific QCD-inspired quark model was proposed by us [16] which had later been used to calculate the I-W function as well [17][18][19].…”

mentioning

confidence: 99%

“…One of the drawback of the model is that significant confinement effects could not be accommodated in the model [16][17][18] due to perturbative constraints coming from using the Dalgarno's method [20]. Only recently [19], the standard confinement effect b = 0.183 GeV 2 [21] was accommodated in the improved version of QCD-inspired quark model, brought through the introduction of parameter 'c' in the potential: V = −4α s 3r + br + c taking c ∼ 1 GeV as its natural scale and fixing A 0 = 1, where A 0 is an undetermined factor appearing in the series solution of the Schrödinger equation ((8) of [19]).…”

mentioning

confidence: 99%

“…Only recently [19], the standard confinement effect b = 0.183 GeV 2 [21] was accommodated in the improved version of QCD-inspired quark model, brought through the introduction of parameter 'c' in the potential: V = −4α s 3r + br + c taking c ∼ 1 GeV as its natural scale and fixing A 0 = 1, where A 0 is an undetermined factor appearing in the series solution of the Schrödinger equation ((8) of [19]). In earlier work [16][17][18], the unknown coefficient cA 0 occurred in the wavefunction was set to zero.…”

mentioning

confidence: 99%

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Bounds on the Slope and Curvature of Isgur-Wise Function in a QCD-Inspired Quark Model

Hazarika¹,

Choudhury

2011

Braz J Phys

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The quantum chromodynamics-inspired potential model pursued by us earlier has been recently modified to incorporate an additional factor 'c' in the linear cum Coulomb potential. While it felicitates the inclusion of standard confinement parameter b = 0.183 GeV 2 unlike in previous work, it still falls short of explaining the Isgur-Wise function for the B mesons without ad hoc adjustment of the strong coupling constant. In this work, we determine the factor 'c' from the experimental values of decay constants and masses and show that the reality constraint on 'c' yields bounds on the strong coupling constant as well as on slope and curvature of Isgur-Wise function allowing more flexibility to the model.

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“…The spin-independent Fermi-Breit Hamiltonian for ground state (l = 0), neglecting the contact term proportional to δ 3 , is [16,17]:…”

Section: The Wavefunctionmentioning

confidence: 99%

Section: Conclusion and Remarksmentioning

confidence: 99%

“…Sometimes back, a specific QCD-inspired quark model was proposed by us [16] which had later been used to calculate the I-W function as well [17][18][19].…”

mentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Bounds on the Slope and Curvature of Isgur-Wise Function in a QCD-Inspired Quark Model

Hazarika¹,

Choudhury

2011

Braz J Phys

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Slope and curvature of Isgur-Wise function using variationally improved perturbation theory in a quantum chromodynamics inspired potential model

Hazarika¹,

Choudhury

2010

Pramana - J Phys

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We used variationally improved perturbation theory (VIPT) in calculating the slope and curvature of Isgur-Wise (I-W) function with the Cornell potential− 4αs 3r + br + c instead of the usual stationary state perturbation theory as done earlier. We used −(4α s/3r), i.e. the Coulombic potential, as the parent and the linear one, i.e. br +c as the perturbed potential in the theory and calculated the slope and curvature of Isgur-Wise function including three states in the summation involved in the first-order correction to wave function in the method.

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Isgur–Wise function for heavy–light mesons in theD-dimensional potential model

Roy¹,

Hazarika²,

Choudhury³

2012

Phys. Scr.

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The Isgur–wise Function in a QCD Inspired Quark Model

Abstract: We summarize the results of the Isgur–Wise function investigated within a QCD inspired quark model. We estimate the slope and the convexity parameter of the function.

Cited by 11 publications

References 21 publications

Bounds on the Slope and Curvature of Isgur-Wise Function in a QCD-Inspired Quark Model

Bounds on the Slope and Curvature of Isgur-Wise Function in a QCD-Inspired Quark Model

Slope and curvature of Isgur-Wise function using variationally improved perturbation theory in a quantum chromodynamics inspired potential model

Isgur–Wise function for heavy–light mesons in theD-dimensional potential model

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