Cascade Ξ0 baryon spectroscopy in the relativistic framework of an independent quark model

The spectroscopy of <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msup><a:mi mathvariant="normal">Ξ</a:mi><a:mn>0</a:mn></a:msup></a:math> is performed within the relativistic framework of independent quark model. The equal mixture of scalar and vector components in the potential having Martin-like form is considered for the confinement. With the suitable potential parameters for <d:math xmlns:d="http://www.w3.org/1998/Math/MathML" display="inline"><d:msup><d:mi mathvariant="normal">Ξ</d:mi><d:mn>0</d:mn></d:msup></d:math>, mass spectra for high radial and orbital excitation is calculated. The experimentally observed values of the ground-state magnetic moment, branching ratios, and asymmetry parameters for radiative weak decays, <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:msup><g:mi mathvariant="normal">Ξ</g:mi><g:mn>0</g:mn></g:msup><g:mo stretchy="false">→</g:mo><g:msup><g:mi mathvariant="normal">Λ</g:mi><g:mn>0</g:mn></g:msup><g:mo>+</g:mo><g:msup><g:mi>γ</g:mi><g:mn>0</g:mn></g:msup></g:math> and <l:math xmlns:l="http://www.w3.org/1998/Math/MathML" display="inline"><l:msup><l:mi mathvariant="normal">Ξ</l:mi><l:mn>0</l:mn></l:msup><l:mo stretchy="false">→</l:mo><l:msup><l:mi mathvariant="normal">Σ</l:mi><l:mn>0</l:mn></l:msup><l:mo>+</l:mo><l:msup><l:mi>γ</l:mi><l:mn>0</l:mn></l:msup></l:math> are obtained to validate the model. The spin parity of experimentally known resonances like <q:math xmlns:q="http://www.w3.org/1998/Math/MathML" display="inline"><q:mi mathvariant="normal">Ξ</q:mi><q:mo stretchy="false">(</q:mo><q:mn>1530</q:mn><q:mo stretchy="false">)</q:mo></q:math>, <v:math xmlns:v="http://www.w3.org/1998/Math/MathML" display="inline"><v:mi mathvariant="normal">Ξ</v:mi><v:mo stretchy="false">(</v:mo><v:mn>1820</v:mn><v:mo stretchy="false">)</v:mo></v:math>, and <ab:math xmlns:ab="http://www.w3.org/1998/Math/MathML" display="inline"><ab:mi mathvariant="normal">Ξ</ab:mi><ab:mo stretchy="false">(</ab:mo><ab:mn>2030</ab:mn><ab:mo stretchy="false">)</ab:mo></ab:math> are confirmed through the Regge trajectories in <fb:math xmlns:fb="http://www.w3.org/1998/Math/MathML" display="inline"><fb:mo stretchy="false">(</fb:mo><fb:mi>J</fb:mi><fb:mo>,</fb:mo><fb:msup><fb:mi>M</fb:mi><fb:mn>2</fb:mn></fb:msup><fb:mo stretchy="false">)</fb:mo></fb:math> plane. The spin parity of <jb:math xmlns:jb="http://www.w3.org/1998/Math/MathML" display="inline"><jb:mi mathvariant="normal">Ξ</jb:mi><jb:mo stretchy="false">(</jb:mo><jb:mn>1950</jb:mn><jb:mo stretchy="false">)</jb:mo></jb:math>, <ob:math xmlns:ob="http://www.w3.org/1998/Math/MathML" display="inline"><ob:mi mathvariant="normal">Ξ</ob:mi><ob:mo stretchy="false">(</ob:mo><ob:mn>2130</ob:mn><ob:mo stretchy="false">)</ob:mo></ob:math>, and <tb:math xmlns:tb="http://www.w3.org/1998/Math/MathML" display="inline"><tb:mi mathvariant="normal">Ξ</tb:mi><tb:mo stretchy="false">(</tb:mo><tb:mn>2250</tb:mn><tb:mo stretchy="false">)</tb:mo></tb:math> are predicted using those Regge trajectories. The radiative decay width and magnetic moment of first resonance is also predicted. Published by the American Physical Society 2024