Beautiful mathematics for beauty-full and other multi-heavy hadronic systems

Azizi, K.; Olamaei, A. R.; Rostami, S.

doi:10.1140/epja/i2018-12595-1

Cited by 25 publications

(21 citation statements)

References 78 publications

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“…The subtraction procedures for different systems are described in Ref. [44] in details. When the masses of the initial and final baryonic states are equal, as we stated previously, we set…”

Section: Qcd Sidementioning

confidence: 99%

Strong coupling constants of the doubly heavy $$ \Xi _{QQ} $$ Baryons with $$ \pi $$ Meson

2020

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The doubly charmed $$\Xi _{cc}^{++} (ccu)$$Ξcc++(ccu) state is the only listed baryon in PDG, which was discovered in the experiment. The LHCb collaboration gets closer to discovering the second doubly charmed baryon $$\Xi _{cc}^{+} (ccd)$$Ξcc+(ccd), hence the investigation of the doubly charmed/bottom baryons from many aspects is of great importance that may help us not only get valuable knowledge on the nature of the newly discovered states, but also in the search for other members of the doubly heavy baryons predicted by the quark model. In this context, we investigate the strong coupling constants among the $$\Xi _{cc}^{+(+)}$$Ξcc+(+) baryons and $$\pi ^{0(\pm )}$$π0(±) mesons by means of light cone QCD sum rule. Using the general forms of the interpolating currents of the $$\Xi _{cc}^{+(+)}$$Ξcc+(+) baryons and the distribution amplitudes (DAs) of the $$\pi $$π meson, we extract the values of the coupling constants $$g_{\Xi _{cc} \Xi _{cc} \pi }$$gΞccΞccπ. We extend our analyses to calculate the strong coupling constants among the partner baryons with $$\pi $$π mesons, as well, and extract the values of the strong couplings $$g_{\Xi _{bb} \Xi _{bb} \pi }$$gΞbbΞbbπ and $$g_{\Xi _{bc} \Xi _{bc} \pi }$$gΞbcΞbcπ. The results of this study may help experimental groups in the analyses of the data related to the strong coupling constants among the hadronic multiplets.

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“…The subtraction procedures for different systems are described in Ref. [44] in details. When the masses of the initial and final baryonic states are equal, as we stated previously, we set…”

Section: Qcd Sidementioning

confidence: 99%

Strong coupling constants of the doubly heavy $$ \Xi _{QQ} $$ Baryons with $$ \pi $$ Meson

2020

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“…There are several representations of the Bessel functions and it is shown in [43] that the cosine representation makes the calculations straightforward and more suitable for the Borel transformation. In this step, we perform the x-integration and use…”

Section: Q Qmentioning

confidence: 99%

“…We hope that not only we will be able to identify the ground state doubly heavy baryons predicted by the quark model [37][38][39], but also will find more information on the resonances beyond the ground state particles. Heretofore, lattice QCD [40], Quark Spin Symmetry [41,42], QCD Sum Rules [29][30][31]43,44] are just some of the attempts that have been made to predict masses, residues, decay modes, lifetimes, strong coupling constants, and other properties of doubly heavy baryons.…”

Section: Introductionmentioning

confidence: 99%

Strong interaction of doubly heavy spin-3/2 baryons with light vector mesons

2020

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We calculate the strong coupling constants among the doubly heavy spin-$$ \frac{3}{2} $$ 3 2 baryons $$\Xi ^*_{QQ}$$ Ξ QQ ∗ and $$\Omega ^*_{QQ}$$ Ω QQ ∗ , with Q and $$ Q' $$ Q ′ being c or b quark, with light vector meson by means of the light-cone QCD sum rules. The matrix elements defining these vertices are described by four coupling constants $$ g_1$$ g 1 , $$ g_2$$ g 2 , $$ g_3$$ g 3 , and $$ g_4 $$ g 4 . The unwanted pollution coming from the doubly heavy spin-$$ \frac{1}{2} $$ 1 2 baryons are removed by a special ordering of Dirac matrices and selection of appropriate Lorentz structures. The strong coupling constants are basic parameters that carry information on the nature of the strong interaction among hadronic multiplets. Investigation of these parameters may help physicists in the construction of the strong potentials among the doubly heavy baryons and light vector mesons. The values obtained for the strong coupling constants may also help experimental groups in analyses of the data produced at various hadron colliders.

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“…Then equating these two representations of the correlator via dispersion relation and carrying out double Borel transformations on the -p 2 and -(p + q) 2 to eliminate the contributions of higher resonances and continuum (the details of Borel transformations can be found in Refs. [32,33]). As a result, we get the requested LCSR for the MM as The   QCD function is very lengthy and not illuminating, therefore the explicit expression of this function are not presented here.…”

Section: S X S X Tr S X S X Tr S X S X (9)mentioning

confidence: 99%

Magnetic moment of Zc(3900) as molecular state

Özdem

2020

Süleyman Demirel Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi

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Employing light-cone QCD sum rule, we have acquired the magnetic moment of the Z c (3900) resonance by considering it as the molecular form of * DD and * DDresonance with quantum numbers J PC = 1 +−. The magnetic moment contains crucial knowledge about the internal organization of particles and their geometric configuration. Measurement of the magnetic moment of the Z c (3900) resonance in future experiments can be quite useful comprehension the inner organization of exotic resonances. A comparison of our numerical values on the magnetic moment with those estimated by the other theoretical models existing in literature is carried out. Anahtar kelimeler: Işık konisi KRD toplam kuralları, Manyetik moment, Egzotik durumlar, Z c (3900) Z c (3900) Parçacığının Molekül Durumundaki Manyetik Momenti Özet: Z c (3900) parçacığının * DD ve * DD molekül yapısında ve J PC = 1 +− kuantum sayılarına sahip olduğu varsayılarak manyetik momenti Işık konisi KRD toplam kuralları kullanılarak elde edilmiştir. Manyetik moment parçacıkların geometrik konfigürasyonu ve içyapısı hakkında önemli bilgiler içermektedir. Gelecekteki deneylerde Z c (3900) parçacığının manyetik momentinin ölçülmesi, egzotik parçacıkların iç organizasyonunu anlamak için oldukça yararlı olabilir. Bu çalışmada elde edilen sonuçlar ile literatürde var olan farklı modeller kullanılarak elde edilen sonuçların karşılaştırılması yapılmıştır.

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Beautiful mathematics for beauty-full and other multi-heavy hadronic systems

Cited by 25 publications

References 78 publications

Strong coupling constants of the doubly heavy $$ \Xi _{QQ} $$ Baryons with $$ \pi $$ Meson

Strong coupling constants of the doubly heavy $$ \Xi _{QQ} $$ Baryons with $$ \pi $$ Meson

Strong interaction of doubly heavy spin-3/2 baryons with light vector mesons

Magnetic moment of Zc(3900) as molecular state

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