Light D wave meson spectrum in a relativistic harmonic model with instanton induced interaction

Monteiro, Antony Prakash; Kumar, Kuldeep

doi:10.4236/ns.2010.211156

Cited by 2 publications

(5 citation statements)

References 17 publications

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“…with α 1 = 1.035, α 2 = 0.3977 GeV, c 0 = 0.3418 GeV, γ = 0.8639 and c 1 = 0.4123 GeV GeV as in the previous study [32,42,43]. Other model parameters employed in the present study are listed in Table 4.…”

Section: The Realtivistic Dirac Model For Heavy-light Mesonic Systemsmentioning

confidence: 98%

Mass spectroscopy and strong decays of excited open charm $${D}_{J}$$ mesons using relativistic Dirac formalism

2021

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The mass spectra for the heavy-light $$(c{\bar{q}}) ;$$ ( c q ¯ ) ; $$q = u$$ q = u or d charmed mesons are computed based on a relativistic framework. The low-lying 1P states are found to be in an excellent agreement with the PDG reported values. Using the computed mass spectra and following effective Lagrangian approach based on heavy quark and chiral symmetry, the OZI allowed two body strong decays are computed. The computed decay rates, ratios and branching fractions allow us to identify the proper spin-parity assignments of the newly observed charm states. Accordingly, we could identify $$D_J(2560)$$ D J ( 2560 ) as $$2^1S_0$$ 2 1 S 0 , $$D_J^*(2680)$$ D J ∗ ( 2680 ) as $$2^3S_1$$ 2 3 S 1 , $$D_J(2740)$$ D J ( 2740 ) as $$1^3D_2$$ 1 3 D 2 , $$D_J^*(2760)$$ D J ∗ ( 2760 ) as $$1^3D_3$$ 1 3 D 3 , $$D^*_J(3000)$$ D J ∗ ( 3000 ) as $$2^3P_0$$ 2 3 P 0 , $$D_J(3000)$$ D J ( 3000 ) as $$2^1P_1$$ 2 1 P 1 and $$D^*_2(3000)$$ D 2 ∗ ( 3000 ) as $$1^3F_2$$ 1 3 F 2 open charm states. The effective coupling constants, $$g_T$$ g T , $$\tilde{g_H}$$ g H ~ , $$g_Y$$ g Y , $$\tilde{g_S}$$ g S ~ and $$g_Z$$ g Z extracted from the present study are found to be in accordance with the reported values. These coupling constants would be useful in further investigations. We found $$D^{*+} \pi ^-$$ D ∗ + π - as a favorable channel for the experimental search of the missing $$1^1F_3$$ 1 1 F 3 state.

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Section: The Realtivistic Dirac Model For Heavy-light Mesonic Systemsmentioning

confidence: 98%

Mass spectroscopy and strong decays of excited open charm $${D}_{J}$$ mesons using relativistic Dirac formalism

2021

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“…The other model parameters of COGEP α 1 , α 2 , c 1 , c 2 and γ are adopted from [48]. We present the uncertainty on 1P mass due to 5% and 10% variations in the parameters keeping…”

Section: Data Availability Statementmentioning

confidence: 99%

“…and for the P and D wave spin-orbit and tensor interactions through COGEP are given by [36,[46][47][48][49] V r The terms…”

mentioning

confidence: 99%

“…The exact expression of these propagators D 0 (r) and D 1 (r) are fitted to Gaussian functions in order to calculate matrix elements of COGEP [46,51]. The values of the parameters used in equation ( 17) and ( 18) are listed in table 1 [13,36,[47][48][49]. Since, the parameters appearing in the above equations are not related to quarks and represents confinement strength of the gluons, the same values of these parameters given in [48] can be used for different mesons as in our earlier work [13,36,47,49].…”

mentioning

confidence: 99%

“…The values of the parameters used in equation ( 17) and ( 18) are listed in table 1 [13,36,[47][48][49]. Since, the parameters appearing in the above equations are not related to quarks and represents confinement strength of the gluons, the same values of these parameters given in [48] can be used for different mesons as in our earlier work [13,36,47,49]. The strong running coupling constant α s is computed as follows…”

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confidence: 99%

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Mass spectroscopy, decays and mixing parameters of open flavour bottom and bottom strange mesons using instanton induced potential with additional confinement

Pandya

Shah

Vinodkumar

2023

J. Phys. G: Nucl. Part. Phys.

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The mass spectra for the heavy-light $(b\bar{q}) ;$ $q = u$ or $d$ and $s$ bottom and bottom strange mesons are computed based on the instanton induced interactions inspired potential along with additional confinement term. Spectroscopic predictions for ground, radial and orbital states are provided. The low-lying states $1S$ and $1P$ are found to be in an excellent agreement with the PDG reported values. The predicted mass spectra strongly support the newly observed $B_J(5840)$ and $B_J(5970)$ by $LHCb$ collaboration as $2^1S_0$ and $1^3D_3$ states respectively. Apart from the mass spectra, the other observables like radiative transitions, decay constant for $1S$ state, the di-leptonic rare decays and the Cabibbo allowed two body hadronic decays are also predicted. The predicted value of branching ratio of rare decay $B_s^0 \rightarrow \mu^+ \mu^-$ as 3.65 $\times 10^{-9}$ is in excellent agreement with the recent measurement of $LHCb$ of $(3.09^{+0.46}_{-0.43}) \times 10^{-9}$. The branching ratios of color favoured decays $B_{(s)} \rightarrow D^{(*)-}_{(s)} \ \pi^+$ and $B_{(s)} \rightarrow D^{(*)-}_{(s)} \ \rho^+$ are found to be exceeding by factor of two as compared to the PDG listed values. The mixing parameters of $B^0_q - \bar{B^0_q}$, $\Delta M_q, x_q$ and $\chi_q$ are obtained as $0.512$, $0.755$ and $0.1877$ respectively which are very close to the PDG listed values of $0.5065 \pm 0.0019$, $0.769 \pm 0.004$ and $0.1858 \pm 0.0011$ respectively.

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Light D wave meson spectrum in a relativistic harmonic model with instanton induced interaction

Cited by 2 publications

References 17 publications

Mass spectroscopy and strong decays of excited open charm $${D}_{J}$$ mesons using relativistic Dirac formalism

Mass spectroscopy and strong decays of excited open charm $${D}_{J}$$ mesons using relativistic Dirac formalism

Mass spectroscopy, decays and mixing parameters of open flavour bottom and bottom strange mesons using instanton induced potential with additional confinement

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