<p>In this study, we investigate the radiative and semileptonic decays of doubly heavy baryons (DHBs) within the framework of the Hypercentral Constituent Quark Model (HCQM). Our focus is on determining static and dynamic properties such as ground-state masses, magnetic moment, transition magnetic moment, radiative decay and heavy-to-heavy semileptonic decay rates, including their corresponding branching fractions. The ground-state masses are calculated using the six-dimensional hyper-radial Schrödinger equation. The magnetic moments and transition magnetic moments for <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10773_2025_5997_Article_IEq1.gif" Format="GIF" Height="25" Rendition="HTML" Resolution="72" Type="Linedraw" Width="62" /> </InlineMediaObject> <EquationSource Format="TEX">$J^P=\frac{1}{2}^+$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msup> <mi>J</mi> <mi>P</mi> </msup> <mo>=</mo> <msup> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mo>+</mo> </msup> </mrow> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10773_2025_5997_Article_IEq2.gif" Format="GIF" Height="25" Rendition="HTML" Resolution="72" Type="Linedraw" Width="62" /> </InlineMediaObject> <EquationSource Format="TEX">$J^P=\frac{3}{2}^+$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msup> <mi>J</mi> <mi>P</mi> </msup> <mo>=</mo> <msup> <mfrac> <mn>3</mn> <mn>2</mn> </mfrac> <mo>+</mo> </msup> </mrow> </math></EquationSource> </InlineEquation> baryons are also calculated. In addition, radiative decay widths are computed from the transition magnetic moment. We employed the Isgur-Wise function (IWF) to analyse the semileptonic decay widths of DHBs. The obtained results are compared with other theoretical predictions.</p>

Transition Properties of Doubly Heavy Baryons

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发表日期：

2025年5月2日

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Kinjal Patel,
Kaushal Thakkar

摘要

In this study, we investigate the radiative and semileptonic decays of doubly heavy baryons (DHBs) within the framework of the Hypercentral Constituent Quark Model (HCQM). Our focus is on determining static and dynamic properties such as ground-state masses, magnetic moment, transition magnetic moment, radiative decay and heavy-to-heavy semileptonic decay rates, including their corresponding branching fractions. The ground-state masses are calculated using the six-dimensional hyper-radial Schrödinger equation. The magnetic moments and transition magnetic moments for $J^P=\frac{1}{2}^+$ $J^{P} = {\frac{1}{2}}^{+}$ and $J^P=\frac{3}{2}^+$ $J^{P} = {\frac{3}{2}}^{+}$ baryons are also calculated. In addition, radiative decay widths are computed from the transition magnetic moment. We employed the Isgur-Wise function (IWF) to analyse the semileptonic decay widths of DHBs. The obtained results are compared with other theoretical predictions.