Properties of Doubly Heavy Baryons

• Main Authors: Zalak Shah, Amee Kakadiya, Keval Gandhi, Ajay Kumar Rai
• Format: Article
• Language: English
• Published: MDPI AG 2021-09-01
• Series: Universe
• Subjects: mass spectra; potential model; radiative transitions
• Online Access: https://www.mdpi.com/2218-1997/7/9/337

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.