Shedding light on the nature of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo stret

To shed light on the properties of states whose nature, internal structure, and spin-parity quantum numbers are not fully elucidated, we systematically study their electromagnetic properties. In light of this concept, we present a comprehensive analysis of the magnetic dipole moment of the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:msub><a:mrow><a:mi>P</a:mi></a:mrow><a:mrow><a:mi>c</a:mi><a:mi>s</a:mi></a:mrow></a:msub><a:mo stretchy="false">(</a:mo><a:mn>4459</a:mn><a:mo stretchy="false">)</a:mo></a:mrow></a:math> pentaquark within the context of QCD light cone sum rules, utilizing three distinct interpolating currents in the form of diquark-diquark-antiquark configurations that are likely to couple this pentaquark with <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:msup><e:mi>J</e:mi><e:mi>P</e:mi></e:msup><e:mo>=</e:mo><e:msup><e:mfrac><e:mn>3</e:mn><e:mn>2</e:mn></e:mfrac><e:mo>−</e:mo></e:msup></e:math> quantum numbers. The numerical analysis yielded the following results: <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:mrow><g:msub><g:mrow><g:mi>μ</g:mi></g:mrow><g:mrow><g:msubsup><g:mrow><g:mi>J</g:mi></g:mrow><g:mrow><g:mi>μ</g:mi></g:mrow><g:mrow><g:mn>1</g:mn></g:mrow></g:msubsup></g:mrow></g:msub><g:mo>=</g:mo><g:mo>−</g:mo><g:mn>0.60</g:mn><g:mo>±</g:mo><g:mn>0.15</g:mn><g:msub><g:mrow><g:mi>μ</g:mi></g:mrow><g:mrow><g:mi>N</g:mi></g:mrow></g:msub></g:mrow></g:math>, <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:msub><i:mi>μ</i:mi><i:msubsup><i:mi>J</i:mi><i:mi>μ</i:mi><i:mn>2</i:mn></i:msubsup></i:msub><i:mo>=</i:mo><i:mn>1.60</i:mn><i:mo>±</i:mo><i:mn>0.30</i:mn><i:msub><i:mi>μ</i:mi><i:mi>N</i:mi></i:msub></i:math>, and <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"><k:msub><k:mi>μ</k:mi><k:msubsup><k:mi>J</k:mi><k:mi>μ</k:mi><k:mn>3</k:mn></k:msubsup></k:msub><k:mo>=</k:mo><k:mn>0.99</k:mn><k:mo>±</k:mo><k:mn>0.20</k:mn><k:msub><k:mi>μ</k:mi><k:mi>N</k:mi></k:msub></k:math>. The numerical results obtained have led to the conclusion that the magnetic dipole moments of the <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:msub><m:mi>P</m:mi><m:mrow><m:mi>c</m:mi><m:mi>s</m:mi></m:mrow></m:msub><m:mo stretchy="false">(</m:mo><m:mn>4459</m:mn><m:mo stretchy="false">)</m:mo></m:math> state are capable of projecting its inner structure. As is seen, the different diquark-diquark-antiquark configurations of the <q:math xmlns:q="http://www.w3.org/1998/Math/MathML" display="inline"><q:mrow><q:msub><q:mrow><q:mi>P</q:mi></q:mrow><q:mrow><q:mi>c</q:mi><q:mi>s</q:mi></q:mrow></q:msub><q:mo stretchy="false">(</q:mo><q:mn>4459</q:mn><q:mo stretchy="false">)</q:mo></q:mrow></q:math> pentaquark state contain important information about its internal structure. Thus, this study will provide prominent data to investigate the inner structure of the <u:math xmlns:u="http://www.w3.org/1998/Math/MathML" display="inline"><u:msub><u:mi>P</u:mi><u:mrow><u:mi>c</u:mi><u:mi>s</u:mi></u:mrow></u:msub><u:mo stretchy="false">(</u:mo><u:mn>4459</u:mn><u:mo stretchy="false">)</u:mo></u:math> pentaquark state. We compared our results with other theoretical predictions that could be a useful complementary tool for interpreting the nature of the <y:math xmlns:y="http://www.w3.org/1998/Math/MathML" display="inline"><y:msub><y:mi>P</y:mi><y:mrow><y:mi>c</y:mi><y:mi>s</y:mi></y:mrow></y:msub><y:mo stretchy="false">(</y:mo><y:mn>4459</y:mn><y:mo stretchy="false">)</y:mo></y:math> state. A thorough examination reveals that the results obtained by employing disparate theoretical approaches and different internal structure models are not consistent with each other. It is recommended that further studies be conducted using alternative nonperturbative techniques to gain a more comprehensive understanding of the observed results.

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Journal
Physical review. D/Physical review. D.
Published
2025-04-29
DOI
https://doi.org/10.1103/physrevd.111.074038
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4
Primary Topic
Quantum Chromodynamics and Particle Interactions
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article
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7.48
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article

Shedding light on the nature of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo stret

U. Özdem
4 citations
Physical review. D/Physical review. D.
Quantum Chromodynamics and Particle Interactions
7.48
article

Shedding light on the nature of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo stret

U. Özdem
article en
4 citations

Abstract

To shed light on the properties of states whose nature, internal structure, and spin-parity quantum numbers are not fully elucidated, we systematically study their electromagnetic properties. In light of this concept, we present a comprehensive analysis of the magnetic dipole moment of the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:msub><a:mrow><a:mi>P</a:mi></a:mrow><a:mrow><a:mi>c</a:mi><a:mi>s</a:mi></a:mrow></a:msub><a:mo stretchy="false">(</a:mo><a:mn>4459</a:mn><a:mo stretchy="false">)</a:mo></a:mrow></a:math> pentaquark within the context of QCD light cone sum rules, utilizing three distinct interpolating currents in the form of diquark-diquark-antiquark configurations that are likely to couple this pentaquark with <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:msup><e:mi>J</e:mi><e:mi>P</e:mi></e:msup><e:mo>=</e:mo><e:msup><e:mfrac><e:mn>3</e:mn><e:mn>2</e:mn></e:mfrac><e:mo>−</e:mo></e:msup></e:math> quantum numbers. The numerical analysis yielded the following results: <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:mrow><g:msub><g:mrow><g:mi>μ</g:mi></g:mrow><g:mrow><g:msubsup><g:mrow><g:mi>J</g:mi></g:mrow><g:mrow><g:mi>μ</g:mi></g:mrow><g:mrow><g:mn>1</g:mn></g:mrow></g:msubsup></g:mrow></g:msub><g:mo>=</g:mo><g:mo>−</g:mo><g:mn>0.60</g:mn><g:mo>±</g:mo><g:mn>0.15</g:mn><g:msub><g:mrow><g:mi>μ</g:mi></g:mrow><g:mrow><g:mi>N</g:mi></g:mrow></g:msub></g:mrow></g:math>, <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:msub><i:mi>μ</i:mi><i:msubsup><i:mi>J</i:mi><i:mi>μ</i:mi><i:mn>2</i:mn></i:msubsup></i:msub><i:mo>=</i:mo><i:mn>1.60</i:mn><i:mo>±</i:mo><i:mn>0.30</i:mn><i:msub><i:mi>μ</i:mi><i:mi>N</i:mi></i:msub></i:math>, and <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"><k:msub><k:mi>μ</k:mi><k:msubsup><k:mi>J</k:mi><k:mi>μ</k:mi><k:mn>3</k:mn></k:msubsup></k:msub><k:mo>=</k:mo><k:mn>0.99</k:mn><k:mo>±</k:mo><k:mn>0.20</k:mn><k:msub><k:mi>μ</k:mi><k:mi>N</k:mi></k:msub></k:math>. The numerical results obtained have led to the conclusion that the magnetic dipole moments of the <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:msub><m:mi>P</m:mi><m:mrow><m:mi>c</m:mi><m:mi>s</m:mi></m:mrow></m:msub><m:mo stretchy="false">(</m:mo><m:mn>4459</m:mn><m:mo stretchy="false">)</m:mo></m:math> state are capable of projecting its inner structure. As is seen, the different diquark-diquark-antiquark configurations of the <q:math xmlns:q="http://www.w3.org/1998/Math/MathML" display="inline"><q:mrow><q:msub><q:mrow><q:mi>P</q:mi></q:mrow><q:mrow><q:mi>c</q:mi><q:mi>s</q:mi></q:mrow></q:msub><q:mo stretchy="false">(</q:mo><q:mn>4459</q:mn><q:mo stretchy="false">)</q:mo></q:mrow></q:math> pentaquark state contain important information about its internal structure. Thus, this study will provide prominent data to investigate the inner structure of the <u:math xmlns:u="http://www.w3.org/1998/Math/MathML" display="inline"><u:msub><u:mi>P</u:mi><u:mrow><u:mi>c</u:mi><u:mi>s</u:mi></u:mrow></u:msub><u:mo stretchy="false">(</u:mo><u:mn>4459</u:mn><u:mo stretchy="false">)</u:mo></u:math> pentaquark state. We compared our results with other theoretical predictions that could be a useful complementary tool for interpreting the nature of the <y:math xmlns:y="http://www.w3.org/1998/Math/MathML" display="inline"><y:msub><y:mi>P</y:mi><y:mrow><y:mi>c</y:mi><y:mi>s</y:mi></y:mrow></y:msub><y:mo stretchy="false">(</y:mo><y:mn>4459</y:mn><y:mo stretchy="false">)</y:mo></y:math> state. A thorough examination reveals that the results obtained by employing disparate theoretical approaches and different internal structure models are not consistent with each other. It is recommended that further studies be conducted using alternative nonperturbative techniques to gain a more comprehensive understanding of the observed results.

Physical review. D/Physical review. D.Vol. 111(7)
Istanbul Aydın University (TR)
Openalex Percentile: Top 4%
Quantum Chromodynamics and Particle Interactions
7.48
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