Identifying the Λ<i><sub>b</sub></i>(6146)<sup>0</sup> and Λ<i><sub>b</sub></i>(6152)<sup>0</sup> as <i>D</i>-Wave Bottom Baryons

Identifying the Λ<i><sub>b</sub></i>(6146)<sup>0</sup> and Λ<i><sub>b</sub></i>(6152)<sup>0</sup> as <i>D</i>-Wave Bottom Baryons

We study the <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi mathvariant="sans-serif">Λ</mi> <mi>b</mi> </msub> <msup> <mrow> <mo>(</mo> <mn>6146</mn> <mo>...

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Main Authors: Qiang Mao, Hua-Xing Chen, Hui-Min Yang
Format: Article
Language:English
Published: MDPI AG 2020-06-01
Series:Universe
Subjects:
excited heavy baryons
QCD sum rules
heavy quark effective theory
Online Access:https://www.mdpi.com/2218-1997/6/6/86
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author Qiang Mao
Hua-Xing Chen
Hui-Min Yang
author_facet Qiang Mao
Hua-Xing Chen
Hui-Min Yang
author_sort Qiang Mao
collection DOAJ
description We study the <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi mathvariant="sans-serif">Λ</mi> <mi>b</mi> </msub> <msup> <mrow> <mo>(</mo> <mn>6146</mn> <mo>)</mo> </mrow> <mn>0</mn> </msup> </mrow> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi mathvariant="sans-serif">Λ</mi> <mi>b</mi> </msub> <msup> <mrow> <mo>(</mo> <mn>6152</mn> <mo>)</mo> </mrow> <mn>0</mn> </msup> </mrow> </semantics> </math> </inline-formula> recently observed by LHCb using the method of Quantum Chromodynamics (QCD) sum rules within the framework of heavy quark effective theory. Our results suggest that they can be interpreted as <i>D</i>-wave bottom baryons of <inline-formula> <math display="inline"> <semantics> <mrow> <msup> <mi>J</mi> <mi>P</mi> </msup> <mo>=</mo> <mn>3</mn> <mo>/</mo> <msup> <mn>2</mn> <mo>+</mo> </msup> </mrow> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <mrow> <mn>5</mn> <mo>/</mo> <msup> <mn>2</mn> <mo>+</mo> </msup> </mrow> </semantics> </math> </inline-formula> respectively, both of which contain two <inline-formula> <math display="inline"> <semantics> <mi>λ</mi> </semantics> </math> </inline-formula>-mode excitations. We also investigate other possible assignments containing <inline-formula> <math display="inline"> <semantics> <mi>ρ</mi> </semantics> </math> </inline-formula>-mode excitations. We extract all the parameters that are necessary to study their decay properties when using the method of light-cone sum rules. We predict masses of their strangeness partners to be <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>m</mi> <mrow> <msub> <mo>Ξ</mo> <mi>b</mi> </msub> <mrow> <mo>(</mo> <mn>3</mn> <mo>/</mo> <msup> <mn>2</mn> <mo>+</mo> </msup> <mo>)</mo> </mrow> </mrow> </msub> <mo>=</mo> <msubsup> <mn>6.26</mn> <mrow> <mo>−</mo> <mn>0.14</mn> </mrow> <mrow> <mo>+</mo> <mn>0.11</mn> </mrow> </msubsup> </mrow> </semantics> </math> </inline-formula> GeV and <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>m</mi> <mrow> <msub> <mo>Ξ</mo> <mi>b</mi> </msub> <mrow> <mo>(</mo> <mn>5</mn> <mo>/</mo> <msup> <mn>2</mn> <mo>+</mo> </msup> <mo>)</mo> </mrow> </mrow> </msub> <mo>=</mo> <msubsup> <mn>6.26</mn> <mrow> <mo>−</mo> <mn>0.14</mn> </mrow> <mrow> <mo>+</mo> <mn>0.11</mn> </mrow> </msubsup> </mrow> </semantics> </math> </inline-formula> GeV with the mass splitting <inline-formula> <math display="inline"> <semantics> <mrow> <mo>Δ</mo> <mi>M</mi> <mspace width="3.33333pt"></mspace> <mo>=</mo> <mspace width="3.33333pt"></mspace> <msub> <mi>m</mi> <mrow> <msub> <mo>Ξ</mo> <mi>b</mi> </msub> <mrow> <mo>(</mo> <mn>5</mn> <mo>/</mo> <msup> <mn>2</mn> <mo>+</mo> </msup> <mo>)</mo> </mrow> </mrow> </msub> <mo>−</mo> <msub> <mi>m</mi> <mrow> <msub> <mo>Ξ</mo> <mi>b</mi> </msub> <mrow> <mo>(</mo> <mn>3</mn> <mo>/</mo> <msup> <mn>2</mn> <mo>+</mo> </msup> <mo>)</mo> </mrow> </mrow> </msub> <mo>=</mo> <msubsup> <mn>4.5</mn> <mrow> <mo>−</mo> <mn>1.5</mn> </mrow> <mrow> <mo>+</mo> <mn>1.9</mn> </mrow> </msubsup> </mrow> </semantics> </math> </inline-formula> MeV, and propose to search for them in future CMS, EIC, and LHCb experiments.
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spelling doaj.art-525e76678beb46268c0bcc85dd388f532023-11-20T04:42:07ZengMDPI AGUniverse2218-19972020-06-01668610.3390/universe6060086Identifying the Λ<i><sub>b</sub></i>(6146)<sup>0</sup> and Λ<i><sub>b</sub></i>(6152)<sup>0</sup> as <i>D</i>-Wave Bottom BaryonsQiang Mao0Hua-Xing Chen1Hui-Min Yang2Department of Electrical and Electronic Engineering, Suzhou University, Suzhou 234000, ChinaSchool of Physics, Beihang University, Beijing 100191, ChinaSchool of Physics, Beihang University, Beijing 100191, ChinaWe study the <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi mathvariant="sans-serif">Λ</mi> <mi>b</mi> </msub> <msup> <mrow> <mo>(</mo> <mn>6146</mn> <mo>)</mo> </mrow> <mn>0</mn> </msup> </mrow> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi mathvariant="sans-serif">Λ</mi> <mi>b</mi> </msub> <msup> <mrow> <mo>(</mo> <mn>6152</mn> <mo>)</mo> </mrow> <mn>0</mn> </msup> </mrow> </semantics> </math> </inline-formula> recently observed by LHCb using the method of Quantum Chromodynamics (QCD) sum rules within the framework of heavy quark effective theory. Our results suggest that they can be interpreted as <i>D</i>-wave bottom baryons of <inline-formula> <math display="inline"> <semantics> <mrow> <msup> <mi>J</mi> <mi>P</mi> </msup> <mo>=</mo> <mn>3</mn> <mo>/</mo> <msup> <mn>2</mn> <mo>+</mo> </msup> </mrow> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <mrow> <mn>5</mn> <mo>/</mo> <msup> <mn>2</mn> <mo>+</mo> </msup> </mrow> </semantics> </math> </inline-formula> respectively, both of which contain two <inline-formula> <math display="inline"> <semantics> <mi>λ</mi> </semantics> </math> </inline-formula>-mode excitations. We also investigate other possible assignments containing <inline-formula> <math display="inline"> <semantics> <mi>ρ</mi> </semantics> </math> </inline-formula>-mode excitations. We extract all the parameters that are necessary to study their decay properties when using the method of light-cone sum rules. We predict masses of their strangeness partners to be <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>m</mi> <mrow> <msub> <mo>Ξ</mo> <mi>b</mi> </msub> <mrow> <mo>(</mo> <mn>3</mn> <mo>/</mo> <msup> <mn>2</mn> <mo>+</mo> </msup> <mo>)</mo> </mrow> </mrow> </msub> <mo>=</mo> <msubsup> <mn>6.26</mn> <mrow> <mo>−</mo> <mn>0.14</mn> </mrow> <mrow> <mo>+</mo> <mn>0.11</mn> </mrow> </msubsup> </mrow> </semantics> </math> </inline-formula> GeV and <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>m</mi> <mrow> <msub> <mo>Ξ</mo> <mi>b</mi> </msub> <mrow> <mo>(</mo> <mn>5</mn> <mo>/</mo> <msup> <mn>2</mn> <mo>+</mo> </msup> <mo>)</mo> </mrow> </mrow> </msub> <mo>=</mo> <msubsup> <mn>6.26</mn> <mrow> <mo>−</mo> <mn>0.14</mn> </mrow> <mrow> <mo>+</mo> <mn>0.11</mn> </mrow> </msubsup> </mrow> </semantics> </math> </inline-formula> GeV with the mass splitting <inline-formula> <math display="inline"> <semantics> <mrow> <mo>Δ</mo> <mi>M</mi> <mspace width="3.33333pt"></mspace> <mo>=</mo> <mspace width="3.33333pt"></mspace> <msub> <mi>m</mi> <mrow> <msub> <mo>Ξ</mo> <mi>b</mi> </msub> <mrow> <mo>(</mo> <mn>5</mn> <mo>/</mo> <msup> <mn>2</mn> <mo>+</mo> </msup> <mo>)</mo> </mrow> </mrow> </msub> <mo>−</mo> <msub> <mi>m</mi> <mrow> <msub> <mo>Ξ</mo> <mi>b</mi> </msub> <mrow> <mo>(</mo> <mn>3</mn> <mo>/</mo> <msup> <mn>2</mn> <mo>+</mo> </msup> <mo>)</mo> </mrow> </mrow> </msub> <mo>=</mo> <msubsup> <mn>4.5</mn> <mrow> <mo>−</mo> <mn>1.5</mn> </mrow> <mrow> <mo>+</mo> <mn>1.9</mn> </mrow> </msubsup> </mrow> </semantics> </math> </inline-formula> MeV, and propose to search for them in future CMS, EIC, and LHCb experiments.https://www.mdpi.com/2218-1997/6/6/86excited heavy baryonsQCD sum rulesheavy quark effective theory
spellingShingle Qiang Mao
Hua-Xing Chen
Hui-Min Yang
Identifying the Λ<i><sub>b</sub></i>(6146)<sup>0</sup> and Λ<i><sub>b</sub></i>(6152)<sup>0</sup> as <i>D</i>-Wave Bottom Baryons
Universe
excited heavy baryons
QCD sum rules
heavy quark effective theory
title Identifying the Λ<i><sub>b</sub></i>(6146)<sup>0</sup> and Λ<i><sub>b</sub></i>(6152)<sup>0</sup> as <i>D</i>-Wave Bottom Baryons
title_full Identifying the Λ<i><sub>b</sub></i>(6146)<sup>0</sup> and Λ<i><sub>b</sub></i>(6152)<sup>0</sup> as <i>D</i>-Wave Bottom Baryons
title_fullStr Identifying the Λ<i><sub>b</sub></i>(6146)<sup>0</sup> and Λ<i><sub>b</sub></i>(6152)<sup>0</sup> as <i>D</i>-Wave Bottom Baryons
title_full_unstemmed Identifying the Λ<i><sub>b</sub></i>(6146)<sup>0</sup> and Λ<i><sub>b</sub></i>(6152)<sup>0</sup> as <i>D</i>-Wave Bottom Baryons
title_short Identifying the Λ<i><sub>b</sub></i>(6146)<sup>0</sup> and Λ<i><sub>b</sub></i>(6152)<sup>0</sup> as <i>D</i>-Wave Bottom Baryons
title_sort identifying the λ i sub b sub i 6146 sup 0 sup and λ i sub b sub i 6152 sup 0 sup as i d i wave bottom baryons
topic excited heavy baryons
QCD sum rules
heavy quark effective theory
url https://www.mdpi.com/2218-1997/6/6/86
work_keys_str_mv AT qiangmao identifyingthelisubbsubi6146sup0supandlisubbsubi6152sup0supasidiwavebottombaryons
AT huaxingchen identifyingthelisubbsubi6146sup0supandlisubbsubi6152sup0supasidiwavebottombaryons
AT huiminyang identifyingthelisubbsubi6146sup0supandlisubbsubi6152sup0supasidiwavebottombaryons

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