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Keywords = charmed baryonium

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9 pages, 425 KiB  
Article
Production Mechanism of the Charmed Baryon Λc+
by Weiping Wang, Xiaorong Zhou, Rinaldo Baldini Ferroli and Guangshun Huang
Symmetry 2022, 14(1), 5; https://doi.org/10.3390/sym14010005 - 21 Dec 2021
Cited by 3 | Viewed by 2646
Abstract
As the lightest charmed baryon, precision measurement of the pair production cross section of Λc+ provides unprecedented experimental information for the investigation of baryon production mechanism. In addition, the extraction of the polar angle distributions of the outgoing Λc+ [...] Read more.
As the lightest charmed baryon, precision measurement of the pair production cross section of Λc+ provides unprecedented experimental information for the investigation of baryon production mechanism. In addition, the extraction of the polar angle distributions of the outgoing Λc+ in the annihilation of the electron–positron help to determine its electromagnetic form factors, which is currently the unique key to access the internal structure of the baryons. In this article, the measurement of e+eΛc+Λ¯c process via the initial state radiation technique at Belle detector and direct electron–positron annihilation at BESIII with discrete center-of-mass energies near threshold are briefly reviewed. In addition, the electromagnetic form factor ratios of Λc+ measured by BESIII are also investigated. A few theoretical models that parameterize the center-of-mass energy dependence of the cross section and electromagnetic form factors of baryon are introduced and the contributions of Λc+ data to them are discussed. Full article
(This article belongs to the Special Issue Baryon Structure: Form Factors and Polarization)
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Figure 1

Figure 1
<p>Feynman diagram of the process <math display="inline"><semantics> <mrow> <msup> <mi>e</mi> <mo>+</mo> </msup> <msup> <mi>e</mi> <mo>−</mo> </msup> <mo>→</mo> <msub> <mi>γ</mi> <mrow> <mi>I</mi> <mi>S</mi> <mi>R</mi> </mrow> </msub> <msubsup> <mo>Λ</mo> <mrow> <mi>c</mi> </mrow> <mo>+</mo> </msubsup> <msubsup> <mover accent="true"> <mo>Λ</mo> <mo stretchy="false">¯</mo> </mover> <mrow> <mi>c</mi> </mrow> <mo>−</mo> </msubsup> </mrow> </semantics></math>, where <math display="inline"><semantics> <msub> <mi>γ</mi> <mi>ISR</mi> </msub> </semantics></math> is the ISR photon radiated by the initial beam while <math display="inline"><semantics> <msup> <mi>γ</mi> <mo>*</mo> </msup> </semantics></math> denotes the virtual photon produced by electron–positron annihilation.</p>
Full article ">Figure 2
<p>Pair production and decay of <math display="inline"><semantics> <msub> <mo>Λ</mo> <mi>c</mi> </msub> </semantics></math> in the annihilation of the electron–positron, where <math display="inline"><semantics> <msubsup> <mo>Λ</mo> <mrow> <mi>c</mi> </mrow> <mo>+</mo> </msubsup> </semantics></math> decays to the final state <math display="inline"><semantics> <mrow> <mo>Λ</mo> <msup> <mi>π</mi> <mo>+</mo> </msup> </mrow> </semantics></math> while <math display="inline"><semantics> <msubsup> <mover accent="true"> <mo>Λ</mo> <mo stretchy="false">¯</mo> </mover> <mrow> <mi>c</mi> </mrow> <mo>−</mo> </msubsup> </semantics></math> to <math display="inline"><semantics> <mrow> <mover accent="true"> <mi>p</mi> <mo stretchy="false">¯</mo> </mover> <msup> <mi>K</mi> <mo>+</mo> </msup> <msup> <mi>π</mi> <mo>−</mo> </msup> </mrow> </semantics></math>. The polar angle of outgoing <math display="inline"><semantics> <msubsup> <mo>Λ</mo> <mrow> <mi>c</mi> </mrow> <mo>+</mo> </msubsup> </semantics></math> is denoted by <math display="inline"><semantics> <mi>θ</mi> </semantics></math> and the angle between the production and decay planes is illustrated by <math display="inline"><semantics> <msub> <mi>ϕ</mi> <mn>1</mn> </msub> </semantics></math>.</p>
Full article ">Figure 3
<p>Cross section of <math display="inline"><semantics> <mrow> <msup> <mi>e</mi> <mo>+</mo> </msup> <msup> <mi>e</mi> <mo>−</mo> </msup> <mo>→</mo> <msubsup> <mo>Λ</mo> <mrow> <mi>c</mi> </mrow> <mo>+</mo> </msubsup> <msubsup> <mover accent="true"> <mo>Λ</mo> <mo stretchy="false">¯</mo> </mover> <mrow> <mi>c</mi> </mrow> <mo>−</mo> </msubsup> </mrow> </semantics></math> measured by BESIII and Belle collaborations [<a href="#B13-symmetry-14-00005" class="html-bibr">13</a>]. The blue solid curve is a phenomenological fit of the BESIII data while the dash-dot cyan curve denotes the prediction of the trivial phase space model, which is parameterized by Equation (<a href="#FD2-symmetry-14-00005" class="html-disp-formula">2</a>) but with the unity Coulomb factor and constant <math display="inline"><semantics> <mrow> <mrow> <mo>|</mo> </mrow> <msub> <mi>G</mi> <mi>M</mi> </msub> <mrow> <mo>|</mo> </mrow> </mrow> </semantics></math>.</p>
Full article ">Figure 4
<p>Polar angle distributions and results of the fit to data at <math display="inline"><semantics> <msqrt> <mi>s</mi> </msqrt> </semantics></math> = <math display="inline"><semantics> <mrow> <mn>4574.5</mn> </mrow> </semantics></math> MeV (<b>left</b>) and <math display="inline"><semantics> <mrow> <mn>4599.5</mn> </mrow> </semantics></math> MeV (<b>right</b>), where the fit function <math display="inline"><semantics> <mrow> <mn>1</mn> <mo>+</mo> <msub> <mi>α</mi> <msub> <mo>Λ</mo> <mi>c</mi> </msub> </msub> <msup> <mo form="prefix">cos</mo> <mn>2</mn> </msup> <mi>θ</mi> </mrow> </semantics></math> is shown in red curves [<a href="#B13-symmetry-14-00005" class="html-bibr">13</a>].</p>
Full article ">Figure 5
<p>Different energy dependent trends of the resulting <math display="inline"><semantics> <mrow> <msup> <mi>e</mi> <mo>+</mo> </msup> <msup> <mi>e</mi> <mo>−</mo> </msup> <mo>→</mo> <msubsup> <mo>Λ</mo> <mrow> <mi>c</mi> </mrow> <mo>+</mo> </msubsup> <msubsup> <mover accent="true"> <mo>Λ</mo> <mo stretchy="false">¯</mo> </mover> <mrow> <mi>c</mi> </mrow> <mo>−</mo> </msubsup> </mrow> </semantics></math> cross sections between BESIII and Belle.</p>
Full article ">
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