$$Q\bar{Q}$$ QQ¯ ($$Q\in \{b, c\}$$ Q∈{b,c} ) spectroscopy using the Cornell potential

$$Q\bar{Q}$$ QQ¯ ($$Q\in \{b, c\}$$ Q∈{b,c} ) spectroscopy using the Cornell potential

Abstract The mass spectra and decay properties of heavy quarkonia are computed in nonrelativistic quark-antiquark Cornell potential model. We have employed the numerical solution of Schrödinger equation to obtain their mass spectra using only four parameters namely quark mass ($$m_c$$ mc , $$m_b$$ m...

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Main Authors: N. R. Soni, B. R. Joshi, R. P. Shah, H. R. Chauhan, J. N. Pandya
Format: Article
Language:English
Published: Springer 2018-07-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-018-6068-6
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recordtype oai_dc
spelling doaj-art-699ab3fd406343cfbeaf25f5a6c9bf542018-08-20T15:50:16ZengSpringerEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-07-0178711910.1140/epjc/s10052-018-6068-6$$Q\bar{Q}$$ QQ¯ ($$Q\in \{b, c\}$$ Q∈{b,c} ) spectroscopy using the Cornell potentialN. R. Soni0B. R. Joshi1R. P. Shah2H. R. Chauhan3J. N. Pandya4Applied Physics Department, Faculty of Technology and Engineering, The Maharaja Sayajirao University of BarodaApplied Physics Department, Faculty of Technology and Engineering, The Maharaja Sayajirao University of BarodaApplied Physics Department, Faculty of Technology and Engineering, The Maharaja Sayajirao University of BarodaApplied Physics Department, Faculty of Technology and Engineering, The Maharaja Sayajirao University of BarodaApplied Physics Department, Faculty of Technology and Engineering, The Maharaja Sayajirao University of BarodaAbstract The mass spectra and decay properties of heavy quarkonia are computed in nonrelativistic quark-antiquark Cornell potential model. We have employed the numerical solution of Schrödinger equation to obtain their mass spectra using only four parameters namely quark mass ($$m_c$$ mc , $$m_b$$ mb ) and confinement strength ($$A_{c\bar{c}}$$ Acc¯ , $$A_{b\bar{b}}$$ Abb¯ ). The spin hyperfine, spin-orbit and tensor components of the one gluon exchange interaction are computed perturbatively to determine the mass spectra of excited S, P, D and F states. Digamma, digluon and dilepton decays of these mesons are computed using the model parameters and numerical wave functions. The predicted spectroscopy and decay properties for quarkonia are found to be consistent with available data from experiments, lattice QCD and other theoretical approaches. We also compute mass spectra and life time of the $$B_c$$ Bc meson without additional parameters. The computed electromagnetic transition widths of heavy quarkonia and $$B_c$$ Bc mesons are in tune with available experimental data and other theoretical approaches.http://link.springer.com/article/10.1140/epjc/s10052-018-6068-6
institution Open Data Bank
collection Open Access Journals
building Directory of Open Access Journals
language English
format Article
author N. R. Soni
B. R. Joshi
R. P. Shah
H. R. Chauhan
J. N. Pandya
spellingShingle N. R. Soni
B. R. Joshi
R. P. Shah
H. R. Chauhan
J. N. Pandya
$$Q\bar{Q}$$ QQ¯ ($$Q\in \{b, c\}$$ Q∈{b,c} ) spectroscopy using the Cornell potential
European Physical Journal C: Particles and Fields
author_facet N. R. Soni
B. R. Joshi
R. P. Shah
H. R. Chauhan
J. N. Pandya
author_sort N. R. Soni
title $$Q\bar{Q}$$ QQ¯ ($$Q\in \{b, c\}$$ Q∈{b,c} ) spectroscopy using the Cornell potential
title_short $$Q\bar{Q}$$ QQ¯ ($$Q\in \{b, c\}$$ Q∈{b,c} ) spectroscopy using the Cornell potential
title_full $$Q\bar{Q}$$ QQ¯ ($$Q\in \{b, c\}$$ Q∈{b,c} ) spectroscopy using the Cornell potential
title_fullStr $$Q\bar{Q}$$ QQ¯ ($$Q\in \{b, c\}$$ Q∈{b,c} ) spectroscopy using the Cornell potential
title_full_unstemmed $$Q\bar{Q}$$ QQ¯ ($$Q\in \{b, c\}$$ Q∈{b,c} ) spectroscopy using the Cornell potential
title_sort $$q\bar{q}$$ qq¯ ($$q\in \{b, c\}$$ q∈{b,c} ) spectroscopy using the cornell potential
publisher Springer
series European Physical Journal C: Particles and Fields
issn 1434-6044
1434-6052
publishDate 2018-07-01
description Abstract The mass spectra and decay properties of heavy quarkonia are computed in nonrelativistic quark-antiquark Cornell potential model. We have employed the numerical solution of Schrödinger equation to obtain their mass spectra using only four parameters namely quark mass ($$m_c$$ mc , $$m_b$$ mb ) and confinement strength ($$A_{c\bar{c}}$$ Acc¯ , $$A_{b\bar{b}}$$ Abb¯ ). The spin hyperfine, spin-orbit and tensor components of the one gluon exchange interaction are computed perturbatively to determine the mass spectra of excited S, P, D and F states. Digamma, digluon and dilepton decays of these mesons are computed using the model parameters and numerical wave functions. The predicted spectroscopy and decay properties for quarkonia are found to be consistent with available data from experiments, lattice QCD and other theoretical approaches. We also compute mass spectra and life time of the $$B_c$$ Bc meson without additional parameters. The computed electromagnetic transition widths of heavy quarkonia and $$B_c$$ Bc mesons are in tune with available experimental data and other theoretical approaches.
url http://link.springer.com/article/10.1140/epjc/s10052-018-6068-6
_version_ 1612687258984382464

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