A study of Δ = 1 Decays of Bottom Mesons Involving Axial-vector Meson

Neelesh Sharma (SRM Research Institute, SRM Institute of Science and Technology, Kattankulathur, India) ; Rohit Dhir (Department of Physics and Nanotechnology, SRM Institute of Science and Technology, Kattankulathur, India)

We study the two-body charmed nonleptonic weak decays of the bottom meson to an axial-vector meson and a pseudoscalar meson using the non-relativistic quark model. We employ the factorization hypothesis to obtain the branching ratios of these decays. First, we calculate the axial-vector (JP=1+) emitting form factors for BD1/D_1 transitions in the non-relativistic Isgur-Scora-Grinstein-Wise quark model. Later, we use the heavy quark symmetry constraints to obtain the BD11/2/D13/2 form factors and consequently, calculated their branching ratios. For a comparative analysis, we extract τ1/2(ω) and τ3/2(ω) form factors from the recent lattice QCD results to get a qualitative estimate of BD11/2/D13/2 form factors. We find that the calculated branching ratios are in fair agreement with the available experimental data in both the scenarios. Also, we observe that, despite of 1/mQ suppression in heavy quark limit, the color-suppressed contribution to these decays can not be ignored.

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      "surname": "Dhir", 
      "email": "dhir.rohit@gmail.com", 
      "full_name": "Dhir, Rohit", 
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  "titles": [
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      "source": "Elsevier", 
      "title": "A study of \u0394 = 1 Decays of Bottom Mesons Involving Axial-vector Meson"
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      "source": "Elsevier", 
      "value": "We study the two-body charmed nonleptonic weak decays of the bottom meson to an axial-vector meson and a pseudoscalar meson using the non-relativistic quark model. We employ the factorization hypothesis to obtain the branching ratios of these decays. First, we calculate the axial-vector (<math><msup><mrow><mi>J</mi></mrow><mrow><mi>P</mi></mrow></msup><mo>=</mo><msup><mrow><mn>1</mn></mrow><mrow><mo>+</mo></mrow></msup></math>) emitting form factors for <math><mi>B</mi><mo>\u2192</mo><msub><mrow><mi>D</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>/</mo><msub><mrow><munder><mrow><mi>D</mi></mrow><mo>_</mo></munder></mrow><mrow><mn>1</mn></mrow></msub></math> transitions in the non-relativistic Isgur-Scora-Grinstein-Wise quark model. Later, we use the heavy quark symmetry constraints to obtain the <math><mi>B</mi><mo>\u2192</mo><msubsup><mrow><mi>D</mi></mrow><mrow><mn>1</mn></mrow><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></msubsup><mo>/</mo><msubsup><mrow><mi>D</mi></mrow><mrow><mn>1</mn></mrow><mrow><mn>3</mn><mo>/</mo><mn>2</mn></mrow></msubsup></math> form factors and consequently, calculated their branching ratios. For a comparative analysis, we extract <math><msub><mrow><mi>\u03c4</mi></mrow><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></msub><mo>(</mo><mi>\u03c9</mi><mo>)</mo></math> and <math><msub><mrow><mi>\u03c4</mi></mrow><mrow><mn>3</mn><mo>/</mo><mn>2</mn></mrow></msub><mo>(</mo><mi>\u03c9</mi><mo>)</mo></math> form factors from the recent lattice QCD results to get a qualitative estimate of <math><mi>B</mi><mo>\u2192</mo><msubsup><mrow><mi>D</mi></mrow><mrow><mn>1</mn></mrow><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></msubsup><mo>/</mo><msubsup><mrow><mi>D</mi></mrow><mrow><mn>1</mn></mrow><mrow><mn>3</mn><mo>/</mo><mn>2</mn></mrow></msubsup></math> form factors. We find that the calculated branching ratios are in fair agreement with the available experimental data in both the scenarios. Also, we observe that, despite of <math><mn>1</mn><mo>/</mo><msub><mrow><mi>m</mi></mrow><mrow><mi>Q</mi></mrow></msub></math> suppression in heavy quark limit, the color-suppressed contribution to these decays can not be ignored."
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Published on:
30 July 2019
Publisher:
Elsevier
Published in:
Nuclear Physics B , Volume 946 C (2019)

Article ID: 114718
DOI:
https://doi.org/10.1016/j.nuclphysb.2019.114718
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

Fulltext files: