<p>Motivated by the recent discovery of single heavy tetraquark structures, <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="601_2025_1986_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="90" /> </InlineMediaObject> <EquationSource Format="TEX">\(T_{c\bar{s}0}^a (2900)^{++}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msubsup> <mi>T</mi> <mrow> <mi>c</mi> <mover accent="true"> <mrow> <mi>s</mi> </mrow> <mrow> <mo stretchy="false">¯</mo> </mrow> </mover> <mn>0</mn> </mrow> <mi>a</mi> </msubsup> <msup> <mrow> <mo stretchy="false">(</mo> <mn>2900</mn> <mo stretchy="false">)</mo> </mrow> <mrow> <mo>+</mo> <mo>+</mo> </mrow> </msup> </mrow> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="601_2025_1986_Article_IEq2.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="78" /> </InlineMediaObject> <EquationSource Format="TEX">\(T_{c\bar{s}0}^a(2900)^0\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msubsup> <mi>T</mi> <mrow> <mi>c</mi> <mover accent="true"> <mrow> <mi>s</mi> </mrow> <mrow> <mo stretchy="false">¯</mo> </mrow> </mover> <mn>0</mn> </mrow> <mi>a</mi> </msubsup> <msup> <mrow> <mo stretchy="false">(</mo> <mn>2900</mn> <mo stretchy="false">)</mo> </mrow> <mn>0</mn> </msup> </mrow> </math></EquationSource> </InlineEquation> by the LHCb collaboration, masses and magnetic moments of singly heavy pentaquark states are estimated in this work. To classify the singly heavy pentaquark structures, we employ the special unitary representation. By using the SU(3) flavor representation, singly heavy pentaquark states are classified into the allowed flavor multiplets. Also, by using the extension of the Gursey-Radicati mass formula and the effective mass scheme, masses of singly heavy pentaquark states are estimated. Further, magnetic moments of singly heavy pentaquarks have been calculated using the effective mass and the screened charge schemes. A thorough comparison of our results shows reasonable agreement with the available theoretical data and may be helpful for future experimental studies.</p>

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Masses and Magnetic Moments of Singly Heavy Pentaquarks using the Gursey-Radicati Mass Formula, Effective Mass, and Screened Charge Scheme

  • Ankush Sharma,
  • Alka Upadhyay

摘要

Motivated by the recent discovery of single heavy tetraquark structures, \(T_{c\bar{s}0}^a (2900)^{++}\) T c s ¯ 0 a ( 2900 ) + + and \(T_{c\bar{s}0}^a(2900)^0\) T c s ¯ 0 a ( 2900 ) 0 by the LHCb collaboration, masses and magnetic moments of singly heavy pentaquark states are estimated in this work. To classify the singly heavy pentaquark structures, we employ the special unitary representation. By using the SU(3) flavor representation, singly heavy pentaquark states are classified into the allowed flavor multiplets. Also, by using the extension of the Gursey-Radicati mass formula and the effective mass scheme, masses of singly heavy pentaquark states are estimated. Further, magnetic moments of singly heavy pentaquarks have been calculated using the effective mass and the screened charge schemes. A thorough comparison of our results shows reasonable agreement with the available theoretical data and may be helpful for future experimental studies.