{"title":"Ground state spectra, decay properties of B and D mesons in a relativistic square root potential","authors":"S. Behera, S. Panda","doi":"10.1142/s021773232450038x","DOIUrl":null,"url":null,"abstract":"<p>We look at the mass spectra of the <span><math altimg=\"eq-00001.gif\" display=\"inline\" overflow=\"scroll\"><msup><mrow><mi>D</mi></mrow><mrow><mo>±</mo></mrow></msup></math></span><span></span>, <span><math altimg=\"eq-00002.gif\" display=\"inline\" overflow=\"scroll\"><msup><mrow><mi>D</mi></mrow><mrow><mo>±</mo><mo>∗</mo></mrow></msup></math></span><span></span>, <span><math altimg=\"eq-00003.gif\" display=\"inline\" overflow=\"scroll\"><msubsup><mrow><mi>D</mi></mrow><mrow><mi>s</mi></mrow><mrow><mo>±</mo><mo>∗</mo></mrow></msubsup></math></span><span></span>, <span><math altimg=\"eq-00004.gif\" display=\"inline\" overflow=\"scroll\"><msubsup><mrow><mi>D</mi></mrow><mrow><mi>s</mi></mrow><mrow><mo>±</mo></mrow></msubsup></math></span><span></span>, <span><math altimg=\"eq-00005.gif\" display=\"inline\" overflow=\"scroll\"><msup><mrow><mi>B</mi></mrow><mrow><mo>±</mo></mrow></msup></math></span><span></span>, <span><math altimg=\"eq-00006.gif\" display=\"inline\" overflow=\"scroll\"><msup><mrow><mi>B</mi></mrow><mrow><mo>±</mo><mo>∗</mo></mrow></msup></math></span><span></span>, <span><math altimg=\"eq-00007.gif\" display=\"inline\" overflow=\"scroll\"><msubsup><mrow><mi>B</mi></mrow><mrow><mi>s</mi></mrow><mrow><mn>0</mn><mo>∗</mo></mrow></msubsup></math></span><span></span>, <span><math altimg=\"eq-00008.gif\" display=\"inline\" overflow=\"scroll\"><msubsup><mrow><mi>B</mi></mrow><mrow><mi>s</mi></mrow><mrow><mn>0</mn></mrow></msubsup></math></span><span></span>, <span><math altimg=\"eq-00009.gif\" display=\"inline\" overflow=\"scroll\"><msubsup><mrow><mi>B</mi></mrow><mrow><mi>c</mi></mrow><mrow><mo>±</mo><mo>∗</mo></mrow></msubsup></math></span><span></span>, <span><math altimg=\"eq-00010.gif\" display=\"inline\" overflow=\"scroll\"><msubsup><mrow><mi>B</mi></mrow><mrow><mi>c</mi></mrow><mrow><mo>±</mo></mrow></msubsup></math></span><span></span>, <span><math altimg=\"eq-00011.gif\" display=\"inline\" overflow=\"scroll\"><mi>ρ</mi></math></span><span></span>, <span><math altimg=\"eq-00012.gif\" display=\"inline\" overflow=\"scroll\"><mi>π</mi></math></span><span></span>, and <span><math altimg=\"eq-00013.gif\" display=\"inline\" overflow=\"scroll\"><mi>ω</mi></math></span><span></span> mesons using a relativistic square root potential. Before looking at the mass spectra, we have to figure out the model parameters, which are <span><math altimg=\"eq-00014.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>U</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>=</mo><mo>−</mo><mn>1</mn><mo>.</mo><mn>1</mn><mn>1</mn><mn>5</mn></math></span><span></span><span><math altimg=\"eq-00015.gif\" display=\"inline\" overflow=\"scroll\"><mspace width=\".17em\"></mspace></math></span><span></span>GeV and <span><math altimg=\"eq-00016.gif\" display=\"inline\" overflow=\"scroll\"><mi>a</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>8</mn><mn>8</mn><mn>5</mn></math></span><span></span><span><math altimg=\"eq-00017.gif\" display=\"inline\" overflow=\"scroll\"><mspace width=\".17em\"></mspace></math></span><span></span>GeV. The calculated result of <span><math altimg=\"eq-00018.gif\" display=\"inline\" overflow=\"scroll\"><msup><mrow><mi>D</mi></mrow><mrow><mo>±</mo></mrow></msup><mo stretchy=\"false\">(</mo><mn>1</mn><mo>.</mo><mn>8</mn><mn>6</mn><mn>1</mn><mspace width=\".17em\"></mspace><mstyle><mtext mathvariant=\"normal\">GeV</mtext></mstyle><mo stretchy=\"false\">)</mo></math></span><span></span>, <span><math altimg=\"eq-00019.gif\" display=\"inline\" overflow=\"scroll\"><msup><mrow><mi>D</mi></mrow><mrow><mo>±</mo><mo>∗</mo></mrow></msup><mo stretchy=\"false\">(</mo><mn>2</mn><mo>.</mo><mn>0</mn><mn>1</mn><mn>0</mn><mspace width=\".17em\"></mspace><mstyle><mtext mathvariant=\"normal\">GeV</mtext></mstyle><mo stretchy=\"false\">)</mo></math></span><span></span>, <span><math altimg=\"eq-00020.gif\" display=\"inline\" overflow=\"scroll\"><msubsup><mrow><mi>D</mi></mrow><mrow><mi>s</mi></mrow><mrow><mo>±</mo></mrow></msubsup><mo stretchy=\"false\">(</mo><mn>1</mn><mo>.</mo><mn>9</mn><mn>0</mn><mn>3</mn><mspace width=\".17em\"></mspace><mstyle><mtext mathvariant=\"normal\">GeV</mtext></mstyle><mo stretchy=\"false\">)</mo></math></span><span></span>, <span><math altimg=\"eq-00021.gif\" display=\"inline\" overflow=\"scroll\"><msubsup><mrow><mi>D</mi></mrow><mrow><mi>s</mi></mrow><mrow><mo>∗</mo><mo>±</mo></mrow></msubsup><mo stretchy=\"false\">(</mo><mn>2</mn><mo>.</mo><mn>1</mn><mn>1</mn><mn>2</mn><mspace width=\".17em\"></mspace><mstyle><mtext mathvariant=\"normal\">GeV</mtext></mstyle><mo stretchy=\"false\">)</mo></math></span><span></span>, <span><math altimg=\"eq-00022.gif\" display=\"inline\" overflow=\"scroll\"><msup><mrow><mi>B</mi></mrow><mrow><mo>±</mo></mrow></msup><mo stretchy=\"false\">(</mo><mn>5</mn><mo>.</mo><mn>2</mn><mn>6</mn><mn>4</mn><mspace width=\".17em\"></mspace><mstyle><mtext mathvariant=\"normal\">GeV</mtext></mstyle><mo stretchy=\"false\">)</mo></math></span><span></span>, <span><math altimg=\"eq-00023.gif\" display=\"inline\" overflow=\"scroll\"><msup><mrow><mi>B</mi></mrow><mrow><mo>±</mo><mo>∗</mo></mrow></msup><mo stretchy=\"false\">(</mo><mn>5</mn><mo>.</mo><mn>3</mn><mn>2</mn><mn>7</mn><mspace width=\".17em\"></mspace><mstyle><mtext mathvariant=\"normal\">GeV</mtext></mstyle><mo stretchy=\"false\">)</mo></math></span><span></span>, <span><math altimg=\"eq-00024.gif\" display=\"inline\" overflow=\"scroll\"><msubsup><mrow><mi>B</mi></mrow><mrow><mi>s</mi></mrow><mrow><mn>0</mn></mrow></msubsup><mo stretchy=\"false\">(</mo><mn>5</mn><mo>.</mo><mn>3</mn><mn>4</mn><mn>5</mn><mspace width=\".17em\"></mspace><mstyle><mtext mathvariant=\"normal\">GeV</mtext></mstyle><mo stretchy=\"false\">)</mo></math></span><span></span>, <span><math altimg=\"eq-00025.gif\" display=\"inline\" overflow=\"scroll\"><msubsup><mrow><mi>B</mi></mrow><mrow><mi>s</mi></mrow><mrow><mn>0</mn><mo>∗</mo></mrow></msubsup><mo stretchy=\"false\">(</mo><mn>5</mn><mo>.</mo><mn>4</mn><mn>2</mn><mn>3</mn><mspace width=\".17em\"></mspace><mstyle><mtext mathvariant=\"normal\">GeV</mtext></mstyle><mo stretchy=\"false\">)</mo></math></span><span></span>, <span><math altimg=\"eq-00026.gif\" display=\"inline\" overflow=\"scroll\"><msubsup><mrow><mi>B</mi></mrow><mrow><mi>C</mi></mrow><mrow><mo>±</mo></mrow></msubsup><mo stretchy=\"false\">(</mo><mn>5</mn><mo>.</mo><mn>9</mn><mn>5</mn><mn>6</mn><mspace width=\".17em\"></mspace><mstyle><mtext mathvariant=\"normal\">GeV</mtext></mstyle><mo stretchy=\"false\">)</mo></math></span><span></span>, <span><math altimg=\"eq-00027.gif\" display=\"inline\" overflow=\"scroll\"><msubsup><mrow><mi>B</mi></mrow><mrow><mi>C</mi></mrow><mrow><mo>±</mo><mo>∗</mo></mrow></msubsup><mo stretchy=\"false\">(</mo><mn>6</mn><mo>.</mo><mn>2</mn><mn>7</mn><mn>7</mn><mspace width=\".17em\"></mspace><mstyle><mtext mathvariant=\"normal\">GeV</mtext></mstyle><mo stretchy=\"false\">)</mo></math></span><span></span>, findings of this study exhibit a notable concurrence with the experimental observations and pertinent theoretical projections. We estimate the decay constant, leptonic decay width, semileptonic decay width, and branching fractions of pseudoscalar and vector mesons, specifically B and D mesons, while keeping the model parameters unchanged. The pseudoscalar decay constants and partial decay widths of “B and D-mesons” reasonably agree with the theoretical predictions, lattice quantum chromodynamics (LQCD) calculations, and experimental data. Moreover, we have efficiently found the values for these mesons’ leptonic decay width and branching fraction, matching the experimental findings and theoretical forecasts. The calculated values of semileptonic decays are <span><math altimg=\"eq-00028.gif\" display=\"inline\" overflow=\"scroll\"><msup><mrow><mi>D</mi></mrow><mrow><mn>0</mn></mrow></msup><mo>→</mo><msup><mrow><mi>π</mi></mrow><mrow><mo>−</mo></mrow></msup><msup><mrow><mi>e</mi></mrow><mrow><mo>+</mo></mrow></msup><msub><mrow><mi>ν</mi></mrow><mrow><mi>e</mi></mrow></msub><mo stretchy=\"false\">(</mo><mn>2</mn><mo>.</mo><mn>8</mn><mn>9</mn><mn>2</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>3</mn></mrow></msup><mo stretchy=\"false\">)</mo></math></span><span></span>, <span><math altimg=\"eq-00029.gif\" display=\"inline\" overflow=\"scroll\"><msup><mrow><mi>D</mi></mrow><mrow><mo>+</mo></mrow></msup><mo>→</mo><msup><mrow><mi>π</mi></mrow><mrow><mn>0</mn></mrow></msup><msup><mrow><mi>e</mi></mrow><mrow><mo>+</mo></mrow></msup><msub><mrow><mi>ν</mi></mrow><mrow><mi>e</mi></mrow></msub><mo stretchy=\"false\">(</mo><mn>3</mn><mo>.</mo><mn>6</mn><mn>6</mn><mn>9</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>3</mn></mrow></msup><mo stretchy=\"false\">)</mo></math></span><span></span>, <span><math altimg=\"eq-00030.gif\" display=\"inline\" overflow=\"scroll\"><msup><mrow><mi>D</mi></mrow><mrow><mo>+</mo></mrow></msup><mo>→</mo><msup><mrow><mi>ρ</mi></mrow><mrow><mn>0</mn></mrow></msup><msup><mrow><mi>e</mi></mrow><mrow><mo>+</mo></mrow></msup><msub><mrow><mi>ν</mi></mrow><mrow><mi>e</mi></mrow></msub><mo stretchy=\"false\">(</mo><mn>1</mn><mo>.</mo><mn>6</mn><mn>5</mn><mn>9</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>3</mn></mrow></msup><mo stretchy=\"false\">)</mo></math></span><span></span> and <span><math altimg=\"eq-00031.gif\" display=\"inline\" overflow=\"scroll\"><msup><mrow><mi>D</mi></mrow><mrow><mo>+</mo></mrow></msup><mo>→</mo><msup><mrow><mi>η</mi></mrow><mrow><mi>′</mi></mrow></msup><msup><mrow><mi>e</mi></mrow><mrow><mo>+</mo></mrow></msup><msub><mrow><mi>ν</mi></mrow><mrow><mi>e</mi></mrow></msub><mo stretchy=\"false\">(</mo><mn>3</mn><mo>.</mo><mn>1</mn><mn>7</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>4</mn></mrow></msup><mo stretchy=\"false\">)</mo></math></span><span></span>, <span><math altimg=\"eq-00032.gif\" display=\"inline\" overflow=\"scroll\"><msubsup><mrow><mi>D</mi></mrow><mrow><mi>S</mi></mrow><mrow><mo>+</mo></mrow></msubsup><mo>→</mo><mi>φ</mi><msup><mrow><mi>e</mi></mrow><mrow><mo>+</mo></mrow></msup><msub><mrow><mi>ν</mi></mrow><mrow><mi>e</mi></mrow></msub><mo stretchy=\"false\">(</mo><mn>2</mn><mo>.</mo><mn>5</mn><mn>9</mn><mn>9</mn><mo>×</mo><msup><mrow><mn>1</mn><mn>0</mn></mrow><mrow><mo>−</mo><mn>2</mn></mrow></msup><mo stretchy=\"false\">)</mo></math></span><span></span>, <span><math altimg=\"eq-00033.gif\" display=\"inline\" overflow=\"scroll\"><msubsup><mrow><mi>D</mi></mrow><mrow><mi>S</mi></mrow><mrow><mo>+</mo></mrow></msubsup><mo>→</mo><mi>η</mi><msup><mrow><mi>e</mi></mrow><mrow><mo>+</mo></mrow></msup><msub><mrow><mi>ν</mi></mrow><mrow><mi>e</mi></mrow></msub><mo stretchy=\"false\">(</mo><mn>2</mn><mo>.</mo><mn>3</mn><mn>0</mn><mn>3</mn><mo>×</mo><msup><mrow><mn>1</mn><mn>0</mn></mrow><mrow><mo>−</mo><mn>2</mn></mrow></msup><mo stretchy=\"false\">)</mo></math></span><span></span>, the proximity of the observed results to experimental and certain theoretical models is evident.</p>","PeriodicalId":18752,"journal":{"name":"Modern Physics Letters A","volume":null,"pages":null},"PeriodicalIF":1.5000,"publicationDate":"2024-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Modern Physics Letters A","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1142/s021773232450038x","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
引用次数: 0
Abstract
We look at the mass spectra of the , , , , , , , , , , , , and mesons using a relativistic square root potential. Before looking at the mass spectra, we have to figure out the model parameters, which are GeV and GeV. The calculated result of , , , , , , , , , , findings of this study exhibit a notable concurrence with the experimental observations and pertinent theoretical projections. We estimate the decay constant, leptonic decay width, semileptonic decay width, and branching fractions of pseudoscalar and vector mesons, specifically B and D mesons, while keeping the model parameters unchanged. The pseudoscalar decay constants and partial decay widths of “B and D-mesons” reasonably agree with the theoretical predictions, lattice quantum chromodynamics (LQCD) calculations, and experimental data. Moreover, we have efficiently found the values for these mesons’ leptonic decay width and branching fraction, matching the experimental findings and theoretical forecasts. The calculated values of semileptonic decays are , , and , , , the proximity of the observed results to experimental and certain theoretical models is evident.
期刊介绍:
This letters journal, launched in 1986, consists of research papers covering current research developments in Gravitation, Cosmology, Astrophysics, Nuclear Physics, Particles and Fields, Accelerator physics, and Quantum Information. A Brief Review section has also been initiated with the purpose of publishing short reports on the latest experimental findings and urgent new theoretical developments.