Quarkonium spectroscopy of the linear plus modified Yukawa potential
Kaushal R. Purohit, Pooja Jakhad, Ajay Kumar
Abstract
Abstract In this article, the linear plus modified Yukawa potential (LIMYP) is used as the quark-antiquark interaction potential for the approximate analytical bound state solution of the Klein-Gordon equation in three-dimensional space. The energy eigenvalues and associated wavefunction are obtained by solving the Klein-Gordon equation analytically using the Nikiforov-Uvarov (NU) method. The mass spectra of heavy mesons such as charmonium <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mo stretchy="false">(</mml:mo> <mml:mi>c</mml:mi> <mml:mover accent="true"> <mml:mrow> <mml:mi>c</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>¯</mml:mo> </mml:mrow> </mml:mover> <mml:mo stretchy="false">)</mml:mo> </mml:math> , bottomonium <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mo stretchy="false">(</mml:mo> <mml:mi>b</mml:mi> <mml:mover accent="true"> <mml:mrow> <mml:mi>b</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>¯</mml:mo> </mml:mrow> </mml:mover> <mml:mo stretchy="false">)</mml:mo> </mml:math> , and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mi>b</mml:mi> <mml:mover accent="true"> <mml:mrow> <mml:mi>c</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>¯</mml:mo> </mml:mrow> </mml:mover> </mml:math> for various quantum states are obtained using the energy spectra expression. In comparison to experimental data, graphical modification of acquired mass spectra of heavy mesons with the parameter employed in the energy equation and the current potential provides good results.