Properties of Doubly Heavy Baryons

We revisited the mass spectra of the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mo>Ξ</mo><mrow><mi>c</mi><mi>c</mi></mrow><mrow><mo>+<...

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Main Authors: Zalak Shah, Amee Kakadiya, Keval Gandhi, Ajay Kumar Rai
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Universe
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Online Access:https://www.mdpi.com/2218-1997/7/9/337
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author Zalak Shah
Amee Kakadiya
Keval Gandhi
Ajay Kumar Rai
author_facet Zalak Shah
Amee Kakadiya
Keval Gandhi
Ajay Kumar Rai
author_sort Zalak Shah
collection DOAJ
description We revisited the mass spectra of the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mo>Ξ</mo><mrow><mi>c</mi><mi>c</mi></mrow><mrow><mo>+</mo><mo>+</mo></mrow></msubsup></semantics></math></inline-formula> baryon with positive and negative parity states using Hypercentral Constituent Quark Model Scheme with Coloumb plus screened potential. The ground state of the baryon has been determined by the LHCb experiment, and the anticipated excited state masses of the baryon have been compared with several theoretical methodologies. The transition magnetic moments of all heavy baryons <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mo>Ξ</mo><mrow><mi>c</mi><mi>c</mi></mrow><mrow><mo>+</mo><mo>+</mo></mrow></msubsup></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mo>Ξ</mo><mrow><mi>c</mi><mi>c</mi></mrow><mo>+</mo></msubsup></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mo>Ω</mo><mrow><mi>c</mi><mi>c</mi></mrow><mo>+</mo></msubsup></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mo>Ξ</mo><mrow><mi>b</mi><mi>b</mi></mrow><mn>0</mn></msubsup></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mo>Ξ</mo><mrow><mi>b</mi><mi>b</mi></mrow><mo>−</mo></msubsup></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mo>Ω</mo><mrow><mi>b</mi><mi>b</mi></mrow><mo>−</mo></msubsup></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mo>Ξ</mo><mrow><mi>b</mi><mi>c</mi></mrow><mo>+</mo></msubsup></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mo>Ξ</mo><mrow><mi>b</mi><mi>c</mi></mrow><mn>0</mn></msubsup></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mo>Ω</mo><mrow><mi>b</mi><mi>c</mi></mrow><mn>0</mn></msubsup></semantics></math></inline-formula> are also calculated and their values are −1.013 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="sans-serif">μ</mi><mi mathvariant="normal">N</mi></msub></semantics></math></inline-formula>, 1.048 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="sans-serif">μ</mi><mi mathvariant="normal">N</mi></msub></semantics></math></inline-formula>, 0.961 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="sans-serif">μ</mi><mi mathvariant="normal">N</mi></msub></semantics></math></inline-formula>, −1.69 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="sans-serif">μ</mi><mi mathvariant="normal">N</mi></msub></semantics></math></inline-formula>, 0.73 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="sans-serif">μ</mi><mi mathvariant="normal">N</mi></msub></semantics></math></inline-formula>, 0.48 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="sans-serif">μ</mi><mi mathvariant="normal">N</mi></msub></semantics></math></inline-formula>, −1.39 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="sans-serif">μ</mi><mi mathvariant="normal">N</mi></msub></semantics></math></inline-formula>, 0.94 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="sans-serif">μ</mi><mi mathvariant="normal">N</mi></msub></semantics></math></inline-formula> and 0.710 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="sans-serif">μ</mi><mi mathvariant="normal">N</mi></msub></semantics></math></inline-formula>, respectively.
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spelling doaj.art-e747e6fdb25e403d9c7b5087b97f3b472023-11-22T15:33:04ZengMDPI AGUniverse2218-19972021-09-017933710.3390/universe7090337Properties of Doubly Heavy BaryonsZalak Shah0Amee Kakadiya1Keval Gandhi2Ajay Kumar Rai3Department of Physics, S.V. National Institute of Technology, Surat 395007, IndiaDepartment of Physics, S.V. National Institute of Technology, Surat 395007, IndiaDepartment of Physics, S.V. National Institute of Technology, Surat 395007, IndiaDepartment of Physics, S.V. National Institute of Technology, Surat 395007, IndiaWe revisited the mass spectra of the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mo>Ξ</mo><mrow><mi>c</mi><mi>c</mi></mrow><mrow><mo>+</mo><mo>+</mo></mrow></msubsup></semantics></math></inline-formula> baryon with positive and negative parity states using Hypercentral Constituent Quark Model Scheme with Coloumb plus screened potential. The ground state of the baryon has been determined by the LHCb experiment, and the anticipated excited state masses of the baryon have been compared with several theoretical methodologies. The transition magnetic moments of all heavy baryons <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mo>Ξ</mo><mrow><mi>c</mi><mi>c</mi></mrow><mrow><mo>+</mo><mo>+</mo></mrow></msubsup></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mo>Ξ</mo><mrow><mi>c</mi><mi>c</mi></mrow><mo>+</mo></msubsup></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mo>Ω</mo><mrow><mi>c</mi><mi>c</mi></mrow><mo>+</mo></msubsup></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mo>Ξ</mo><mrow><mi>b</mi><mi>b</mi></mrow><mn>0</mn></msubsup></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mo>Ξ</mo><mrow><mi>b</mi><mi>b</mi></mrow><mo>−</mo></msubsup></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mo>Ω</mo><mrow><mi>b</mi><mi>b</mi></mrow><mo>−</mo></msubsup></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mo>Ξ</mo><mrow><mi>b</mi><mi>c</mi></mrow><mo>+</mo></msubsup></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mo>Ξ</mo><mrow><mi>b</mi><mi>c</mi></mrow><mn>0</mn></msubsup></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mo>Ω</mo><mrow><mi>b</mi><mi>c</mi></mrow><mn>0</mn></msubsup></semantics></math></inline-formula> are also calculated and their values are −1.013 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="sans-serif">μ</mi><mi mathvariant="normal">N</mi></msub></semantics></math></inline-formula>, 1.048 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="sans-serif">μ</mi><mi mathvariant="normal">N</mi></msub></semantics></math></inline-formula>, 0.961 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="sans-serif">μ</mi><mi mathvariant="normal">N</mi></msub></semantics></math></inline-formula>, −1.69 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="sans-serif">μ</mi><mi mathvariant="normal">N</mi></msub></semantics></math></inline-formula>, 0.73 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="sans-serif">μ</mi><mi mathvariant="normal">N</mi></msub></semantics></math></inline-formula>, 0.48 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="sans-serif">μ</mi><mi mathvariant="normal">N</mi></msub></semantics></math></inline-formula>, −1.39 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="sans-serif">μ</mi><mi mathvariant="normal">N</mi></msub></semantics></math></inline-formula>, 0.94 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="sans-serif">μ</mi><mi mathvariant="normal">N</mi></msub></semantics></math></inline-formula> and 0.710 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="sans-serif">μ</mi><mi mathvariant="normal">N</mi></msub></semantics></math></inline-formula>, respectively.https://www.mdpi.com/2218-1997/7/9/337mass spectrapotential modelradiative transitions
spellingShingle Zalak Shah
Amee Kakadiya
Keval Gandhi
Ajay Kumar Rai
Properties of Doubly Heavy Baryons
Universe
mass spectra
potential model
radiative transitions
title Properties of Doubly Heavy Baryons
title_full Properties of Doubly Heavy Baryons
title_fullStr Properties of Doubly Heavy Baryons
title_full_unstemmed Properties of Doubly Heavy Baryons
title_short Properties of Doubly Heavy Baryons
title_sort properties of doubly heavy baryons
topic mass spectra
potential model
radiative transitions
url https://www.mdpi.com/2218-1997/7/9/337
work_keys_str_mv AT zalakshah propertiesofdoublyheavybaryons
AT ameekakadiya propertiesofdoublyheavybaryons
AT kevalgandhi propertiesofdoublyheavybaryons
AT ajaykumarrai propertiesofdoublyheavybaryons