Root mean square radii of heavy flavoured mesons in a quantum chromodynamics potential model

Das, Tanmoy; Choudhury, D. K.

doi:10.1007/s12043-016-1242-6

Cited by 7 publications

(6 citation statements)

References 17 publications

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“…The input parameters in the numerical calculations used are m u = 0.336GeV , m s = 0.483GeV , m c = 1.55GeV , m b = 4.95GeV and b = 0.183GeV 2 and α s values 0.39 and 0.22 for charmonium and bottomonium scale respectively, are same with the previous work [15,31].…”

Section: Resultsmentioning

confidence: 99%

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Isgur–Wise function and a new approach to potential model

Das

Choudhury

Pathak

2016

Int. J. Mod. Phys. A

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Considering the Cornell potential V (r) = − 4αs 3r + br + c, we have revisited the Dalgarno's method of perturbation by incorporating two scales r short and r long as integration limit so that the perturbative procedure can be improved in a potential model. With the improved version of the wave function the ground state masses of the heavy-light mesons D, D s , B, B s and B c are computed. The slopes and curvatures of the form factors of semi-leptonic decays of heavy-light mesons in both HQET limit and finite mass limit are calculated and compared with the available data.

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Section: Resultsmentioning

confidence: 99%

“…We make r short = r long = 4αs 3b for our analysis, otherwise unless they are identical, the addition of two counterparts (linear part & Coulomb part) either overestimate or under estimate the calculated values of quantities which involves the integration over 0 to r short and r long to r 0 [31].…”

Section: Slope and Curvature Of Isgur-wise Functionmentioning

confidence: 99%

Isgur–Wise function and a new approach to potential model

Das

Choudhury

Pathak

2016

Int. J. Mod. Phys. A

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“…Infact, the phenomenological potential models describe the structure of hadrons and got more interest after the discovery of heavy mesons i.e charmonium and bottomonium. These heavy mesons have been investigated by using non-relativistic potential models in the Schrodinger equation [2] [3].…”

Section: Introductionmentioning

confidence: 99%

Wave function dependent Form Factors and Radii of Mesons

Akbar¹,

Shafaq²,

Zahra³

2023

Preprint

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In this work, meson wave functions are selected to investigate the properties of charmonium, bottomonium, and charmed-bottom mesons. To find the masses of the ground, radial and orbital excited states of mesons, variational method is applied on the selected meson wave functions. In addition, mesons are treated non-relativistically by considering the chromodynamic potential model in the linear plus coulombic form along with the incorporation of spin. Our mass predictions show good agreement with the available experimental data and the theoretical predictions found by different methods. Moreover, RMS radii, form factors and charged radii are calculated by using the selected trial wave functions. Momentum dependance of the form factors is shown graphically. Predicted RMS radii and charged radii are compared with the theoretical results, wherever available. Results show that RMS radii and charged radii have inverse relation with the masses of mesons, i.e., heavier mesons have smaller radii and vice versa.

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“…A great deal of efforts were directed to study the Isgur-Wise function and its applications in different frameworks. For instance, QCD sum rules [5,6], the Schrödinger equation [7], the Dirac equation [8], the constituent quark model [9], quenched lattice QCD [10], the nonrelativistic potential model [11], QCD potential model [12,13], the nonrelativistic quark model [14], the heavy quark effective theory [15,16], the quantum isotonic nonlinear oscillator potential model [17,18], and so on. HQET vastly simplifies the calculations, and plays a crucial role in extracting the values of |V cb | and |V ub |.…”

Section: Introductionmentioning

confidence: 99%

Isgur-Wise function in $B_c$ decays to charmonium with the Bethe-Salpeter method

Geng

Jiang²,

Wang³

et al. 2019

Preprint

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The Isgur-Wise function vastly reduces the weak-decay form factors of ground heavy mesons.In this paper, we extract the Isgur-Wise functions from the instantaneous Bethe-Salpeter method, and give the numerical results for the B c decays to charmonium where the final states include 1S, 1P , 2S and 2P . The overlapping integral of the wave functions for the initial and final states is the leading order Isgur-Wise function, as the heavy quark effective theory does. In the case of accurate calculation, we need to introduce more high-order Isgur-Wise functions which are the overlapping integrals with the relative momentum between the quark and antiquark. The higher order Isgur-Wise functions provide greater relativistic corrections especially involving the excited state, and therefore are necessary to be adopted.

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Root mean square radii of heavy flavoured mesons in a quantum chromodynamics potential model

Cited by 7 publications

References 17 publications

Isgur–Wise function and a new approach to potential model

Isgur–Wise function and a new approach to potential model

Wave function dependent Form Factors and Radii of Mesons

Isgur-Wise function in $B_c$ decays to charmonium with the Bethe-Salpeter method

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