Theoretical Investigation of Meson Spectrum via Exact Quantization Rule Technique

Abstract

The energy eigenvalues with the Extended Cornell potential were obtained by analytically solving the radial Schrödinger equation using the Exact Quantization Rule technique (ECP). It was then used for computing the mass spectra of the heavy mesons like charmonium (cc-) and bottomonium (bb-) as well as heavy-light mesons such as bottom-charm bc- and charm-Strange cs- for various quantum states. Two exceptional cases such as the Coulomb and Cornell potentials, were taken into consideration when some of the potential parameters were set to zero. The current potential offers good outcomes when compared to experimental data and work of other researchers with a maximum error of 0.0065 GeV.

Bound State and Ro-Vibrational Energies Eigenvalues of Selected Diatomic Molecules with a Class of Inversely Quadratic Yukawa Plus Hulthén Potential Model

“…To find the exact and approximate solutions to the Schrödinger equation, quantum mechanical techniques have been extensively used over time by scholars [17][18][19][20][21][22][23][24][25][26][27]. Inversely quadratic Hellmann potential (IQHP) has been used by numerous authors in different areas of physics [28][29][30][31].…”

Comparative Study of the Mass Spectra of Heavy Quarkonium System with an Interacting Potential Model

“…For instance, a variety of this type of potential is the Cornell potential (CP) with two terms one of which is responsible for the Coulomb interaction of the quarks and the other correspond to a confining term [10,11]. Researchers have studied the MS of heavy and heavylight quarkonia using the CP and its extended form [12][13][14]. For studying the behavior of several physical problems in Physics, we require to solve the Schrodinger equation.…”