Study of Heavy Quarkonium with Energy Dependent Potential

Gupta, Pramila; Mehrotra, I.

doi:10.4236/jmp.2012.310189

Cited by 32 publications

(17 citation statements)

References 14 publications

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“…33 studied the wave equation energydependent potential for confined systems. Therefore, the energy dependent potential in the Schrödinger equation or other wave equation in physics has many applications such as features in spectrum of confined systems and heavy quark systems in nuclear and molecular physics 34 .…”

Section: Introductionmentioning

confidence: 99%

Bound state solutions of the Schrödinger equation with energy-dependent molecular Kratzer potential via asymptotic iteration method

et al. 2020

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In this paper, we obtained the exact bound state energy spectrum of the Schrödinger equation with energy dependent molecular Kratzer potential using asymptotic iteration method (AIM). The corresponding wave function expressed in terms of the confluent hypergeometric function was also obtained. As a special case, when the energy slope parameter in the energy-dependent molecular Kratzer potential is set to zero, then the well-known molecular Kratzer potential is recovered. Numerical results for the energy eigenvlaues are also obtained for different quantum states, in the presence and absence of the energy slope parameter. These results are discussed extensively using graphical representation. Our results are seen to agree with the results in literature.

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Section: Introductionmentioning

confidence: 99%

Bound state solutions of the Schrödinger equation with energy-dependent molecular Kratzer potential via asymptotic iteration method

et al. 2020

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“…The discovery pointed out a new direction in hadron spectroscopy, out of the B-meson decays were observed strongly interacting particles (four-quarks states), all containing a cc quark pair. These new proposed systems have been widely studied in two main currents: lattice-QCD calculations [2][3][4][5] and phenomenological QCD based effective potential models [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. Some examples of this exotic states are X(3872), Y (4140), Y (4260), Y (4360), Y (4660), Z 2 (4250), Z(4430) [21], their masses are approximate to theoretical predictions of systems combining light and heavy quarks.…”

Section: Introductionmentioning

confidence: 99%

Spectroscopy of the tetraquark $c\bar{c}$-$c\bar{c}$ in a non-relativistic approach using a phenomenological QCD model

Lesteiro-Tejeda,

Ramírez-Zaldívar,

Gracía-Trápaga

et al. 2021

Preprint

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Hadron spectroscopy is a powerful tool for testing the standard model and for the search of new physics. In this work, we create a tetraquark model from a dimeson interaction inspired by Jacobi's coordinates. We consider mesons as thick points and quantify their interaction with the quark-antiquark interaction through a factor κ (κ ≈ 2) and a central phenomenological potential, reducing the four-body problem finally to a one body equivalent problem. The eigenproblem is solved using a combination of the DVR method and perturbation theory in a C++ code. We obtain a mass spectrum for the tetraquark between 6 GeV and 8 GeV for the ground and first energy excitation level. The expected value √ < 1 fm indicates that our system is compact. Finally, the critical case relation v/c ≈ 0.3 indicates that the non-relativistic approach used in all our formalism is valid.

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“…Also, Lombard et al 34 investigated the wave equation energy-dependent potential for confined systems. Numerous applications of the energydependent potential of wave equations have been seen in the spectrum of confined systems and heavy quark confinement in nuclear and molecular physics 35,36 . Recently, Budaca 37 studied an energy-dependent Coulomb-like potential within the framework of Bohr Hamiltonian.…”

Section: Introductionmentioning

confidence: 99%

Approximate solutions of the Schrödinger equation with energy-dependent screened Coulomb potential in D – dimensions

et al. 2020

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Within the framework of the conventional Nikiforov-Uvarov method and a new form of Greene-Aldrich approximation scheme, we solved the Schrödinger equation with the energy-dependent screened Coulomb potential. Energy eigenvalues and energy eigenfunctions were obtained both approximately and numerically at different dimensions. The energy variations with different potential parameters, quantum numbers and energy slope parameter, respectively were also discussed graphically. The major finding of this research is the effect of the energy slope parameter on the energy spectra, which is seen in the existence of two simultaneous energy values for a particular quantum state. Our special cases also agree with the results obtained from literature, when the energy slope parameter is zero.

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Study of Heavy Quarkonium with Energy Dependent Potential

Cited by 32 publications

References 14 publications

Bound state solutions of the Schrödinger equation with energy-dependent molecular Kratzer potential via asymptotic iteration method

Bound state solutions of the Schrödinger equation with energy-dependent molecular Kratzer potential via asymptotic iteration method

Spectroscopy of the tetraquark $c\bar{c}$-$c\bar{c}$ in a non-relativistic approach using a phenomenological QCD model

Approximate solutions of the Schrödinger equation with energy-dependent screened Coulomb potential in D – dimensions

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