We study the semileptonic decays of in two relativistic dynamical approaches of the light-front constituent quark model (LFCQM) and MIT bag model (MBM). By considering the Fermi statistic between quarks and determining spin-flavor structures in baryons along with the helicity formalism in the two different dynamical models, we calculate the branching ratios () and averaged asymmetry parameters () in the decays. Explicitly, we find that and in (LFCQM, MBM), in comparison with the data of and given by the Particle Data Group, respectively. We also predict that and in LFCQM with two different scenarios for the momentum distributions of quarks in the neutron and and in MBM, which could be tested by the ongoing experiments at BESIII, LHCb, and BELLEII.
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"raw_name": "C.\u2009Q. Geng",
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"country": "China",
"value": "School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, UCAS, Hangzhou 310024, China"
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{
"country": "China",
"value": "International Centre for Theoretical Physics Asia-Pacific, Beijing/Hangzhou, China"
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"country": "Taiwan",
"value": "Department of Physics, National Tsing Hua University, Hsinchu 300, Taiwan"
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{
"country": "Taiwan",
"value": "Physics Division, National Center for Theoretical Sciences, Hsinchu 300, Taiwan"
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"surname": "Geng",
"given_names": "C.\u2009Q.",
"full_name": "Geng, C.\u2009Q."
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{
"raw_name": "Chong-Chung Lih",
"affiliations": [
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"country": "Taiwan",
"value": "Department of Optometry, Central Taiwan University of Science and Technology, Taichung 406, Taiwan"
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"surname": "Lih",
"given_names": "Chong-Chung",
"full_name": "Lih, Chong-Chung"
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{
"raw_name": "Chia-Wei Liu",
"affiliations": [
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"country": "Taiwan",
"value": "Department of Physics, National Tsing Hua University, Hsinchu 300, Taiwan"
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"surname": "Liu",
"given_names": "Chia-Wei",
"full_name": "Liu, Chia-Wei"
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{
"raw_name": "Tien-Hsueh Tsai",
"affiliations": [
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"country": "Taiwan",
"value": "Department of Physics, National Tsing Hua University, Hsinchu 300, Taiwan"
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"surname": "Tsai",
"given_names": "Tien-Hsueh",
"full_name": "Tsai, Tien-Hsueh"
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"title": "Semileptonic decays of <math><msubsup><mi>\u039b</mi><mi>c</mi><mo>+</mo></msubsup></math> in dynamical approaches"
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"value": "10.1103/PhysRevD.101.094017"
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"journal_volume": "101",
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"year": "2020"
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"value": "We study the semileptonic decays of <math><msubsup><mi>\u039b</mi><mi>c</mi><mo>+</mo></msubsup><mo>\u2192</mo><mi>\u039b</mi><mo>(</mo><mi>n</mi><mo>)</mo><msup><mo>\u2113</mo><mo>+</mo></msup><msub><mi>\u03bd</mi><mo>\u2113</mo></msub></math> in two relativistic dynamical approaches of the light-front constituent quark model (LFCQM) and MIT bag model (MBM). By considering the Fermi statistic between quarks and determining spin-flavor structures in baryons along with the helicity formalism in the two different dynamical models, we calculate the branching ratios (<math><mi>B</mi><mrow><mi>s</mi></mrow></math>) and averaged asymmetry parameters (<math><mi>\u03b1</mi><mrow><mi>s</mi></mrow></math>) in the decays. Explicitly, we find that <math><mi>B</mi><mo>(</mo><msubsup><mi>\u039b</mi><mi>c</mi><mo>+</mo></msubsup><mo>\u2192</mo><mi>\u039b</mi><msup><mi>e</mi><mo>+</mo></msup><msub><mi>\u03bd</mi><mi>e</mi></msub><mo>)</mo><mo>=</mo><mo>(</mo><mn>3.36</mn><mo>\u00b1</mo><mn>0.87</mn><mo>,</mo><mn>3.48</mn><mo>)</mo><mo>%</mo></math> and <math><mi>\u03b1</mi><mo>(</mo><msubsup><mi>\u039b</mi><mi>c</mi><mo>+</mo></msubsup><mo>\u2192</mo><mi>\u039b</mi><msup><mi>e</mi><mo>+</mo></msup><msub><mi>\u03bd</mi><mi>e</mi></msub><mo>)</mo><mo>=</mo><mo>(</mo><mo>\u2212</mo><mn>0.97</mn><mo>\u00b1</mo><mn>0.03</mn><mo>,</mo><mo>\u2212</mo><mn>0.83</mn><mo>)</mo></math> in (LFCQM, MBM), in comparison with the data of <math><mi>B</mi><mo>(</mo><msubsup><mi>\u039b</mi><mi>c</mi><mo>+</mo></msubsup><mo>\u2192</mo><mi>\u039b</mi><msup><mi>e</mi><mo>+</mo></msup><msub><mi>\u03bd</mi><mi>e</mi></msub><mo>)</mo><mo>=</mo><mo>(</mo><mn>3.6</mn><mo>\u00b1</mo><mn>0.4</mn><mo>)</mo><mo>%</mo></math> and <math><mi>\u03b1</mi><mo>(</mo><msubsup><mi>\u039b</mi><mi>c</mi><mo>+</mo></msubsup><mo>\u2192</mo><mi>\u039b</mi><msup><mi>e</mi><mo>+</mo></msup><msub><mi>\u03bd</mi><mi>e</mi></msub><mo>)</mo><mo>=</mo><mo>\u2212</mo><mn>0.86</mn><mo>\u00b1</mo><mn>0.04</mn></math> given by the Particle Data Group, respectively. We also predict that <math><mi>B</mi><mo>(</mo><msubsup><mi>\u039b</mi><mi>c</mi><mo>+</mo></msubsup><mo>\u2192</mo><mi>n</mi><msup><mi>e</mi><mo>+</mo></msup><msub><mi>\u03bd</mi><mi>e</mi></msub><mo>)</mo><mo>=</mo><mo>(</mo><mn>0.57</mn><mo>\u00b1</mo><mn>0.15</mn><mo>,</mo><mn>3.6</mn><mo>\u00b1</mo><mn>1.5</mn><mo>)</mo><mo>\u00d7</mo><msup><mn>10</mn><mrow><mo>\u2212</mo><mn>3</mn></mrow></msup></math> and <math><mi>\u03b1</mi><mo>(</mo><msubsup><mi>\u039b</mi><mi>c</mi><mo>+</mo></msubsup><mo>\u2192</mo><mi>n</mi><msup><mi>e</mi><mo>+</mo></msup><msub><mi>\u03bd</mi><mi>e</mi></msub><mo>)</mo><mo>=</mo><mo>(</mo><mo>\u2212</mo><mn>0.98</mn><mo>\u00b1</mo><mn>0.02</mn><mo>,</mo><mo>\u2212</mo><mn>0.96</mn><mo>\u00b1</mo><mn>0.04</mn><mo>)</mo></math> in LFCQM with two different scenarios for the momentum distributions of quarks in the neutron and <math><mi>B</mi><mo>(</mo><msubsup><mi>\u039b</mi><mi>c</mi><mo>+</mo></msubsup><mo>\u2192</mo><mi>n</mi><msup><mi>e</mi><mo>+</mo></msup><msub><mi>\u03bd</mi><mi>e</mi></msub><mo>)</mo><mo>=</mo><mn>0.279</mn><mo>\u00d7</mo><msup><mn>10</mn><mrow><mo>\u2212</mo><mn>2</mn></mrow></msup></math> and <math><mi>\u03b1</mi><mo>(</mo><msubsup><mi>\u039b</mi><mi>c</mi><mo>+</mo></msubsup><mo>\u2192</mo><mi>n</mi><msup><mi>e</mi><mo>+</mo></msup><msub><mi>\u03bd</mi><mi>e</mi></msub><mo>)</mo><mo>=</mo><mo>\u2212</mo><mn>0.87</mn></math> in MBM, which could be tested by the ongoing experiments at BESIII, LHCb, and BELLEII."
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