2-5 October 2017
Hotel Intourist Kolomenskoye 4*
Europe/Moscow timezone

Mass spectra of Bottomonia using relativistic corrections to the potential

2 Oct 2017, 15:10
2h 50m
Petrovsky hall (Hotel Intourist Kolomenskoye 4*)

Petrovsky hall

Hotel Intourist Kolomenskoye 4*

Kashyrskoye shosse, 39B, Moscow, Russia, 115409

Speakers

Dr. Ajay Kumar Rai (Sardar Vallabhbhai National Institute of Technology-Surat, Gujarat, India) Mr. Raghav Chaturvedi (Sardar Vallabhbhai National Institute of Technology-Surat, Gujarat, India)

Description

We compute the masses of different states of bottomonia in the framework of potential non-relativistic QCD (pNRQCD), non-perturbatively. The potential consists of two terms, a static term incorporating Coulombic plus confinement part along with a constant and a relativistic correction term classified in powers of the inverse of heavy quark mass \textit{O}$(1/m)$. The \textit{O}$(1/m)$ Spin dependent corrections are incorporated to compute the singlet and the triplet states of bottomonia. The Schr\"{o}dinger equation is solved numerically to obtain the masses from 1S to 6S states, the calculated masses for ${{\mathit \eta}_{{b}}{(1S)}}$ is $9.390$ GeV and for ${{\mathit \Upsilon}{(1S)}}$ is $9.459$ GeV and is found to be in good accordance with the experimental results.

Primary author

Dr. Ajay Kumar Rai (Sardar Vallabhbhai National Institute of Technology-Surat, Gujarat, India)

Co-authors

Mr. Raghav Chaturvedi (Sardar Vallabhbhai National Institute of Technology-Surat, Gujarat, India)

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