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Bhavin Patel

Publications and source records attributed to Bhavin Patel.

26 records · Page 2Linked to original sources
arXiv2008

Properties of doubly charmed baryons in the quark-diquark model

Baryons containing two heavy quarks are important and interesting systems to study the quark-diquark structure of baryons and to understand the dynamics of QCD at hadronic scale. The Selex Collaboration has recently reported the discovery of $Ξ_{cc}$ with a mass of 3.519 Ge$V$. However, other groups such as Babar, Belle and Focus have all failed to confirm this state. So there is a demand to review this state both theoretically and experimentally. We report here the spectra and magnetic moments of $ccq(q\in u,d,s)$ systems using coulomb plus Martin potential. Here the two heavy quarks are considered for the diquark states. The same potential form is used for the diquark interaction as well as for the quark-diquark interaction. The chromomagnetic one gluon exchange interaction are perturbatively treated here to get the masses of $J^P={1/2}^{+}$ and $J^P={3/2}^{+}$ states. Accordingly, we obtain $Ξ^{++}_{cc}$ (3519, 3555), $Ξ^{+}_{cc}$ (3527, 3562) and $Ω^{+}_{cc}$ (3648,3688) states of the $ccq$ $({1/2}^{+},{3/2}^{+})$ combinations. Our predictions are in accordance with the SELEX result for $Ξ^{++}_{cc}$ (3519) and other model predictions. Predictions of other properties of these $ccq$ systems will be presented in detail.

hep-ph↗
arXiv2008

Single Heavy Flavour Baryons using Coulomb plus Power law interquark Potential

Properties of single heavy flavor baryons in a non relativistic potential model with colour coulomb plus power law confinement potential have been studied. The ground state masses of single heavy baryons and the mass difference between the ($J^{P}={3/2}^{+}$ and $J^{P}={1/2}^{+}$) states are computed using a spin dependent two body potential. Using the spin-flavour structure of the constituting quarks and by defining an effective confined mass of the constituent quarks within the baryons, the magnetic moments are computed. The masses and magnetic moments of the single heavy baryons are found to be in accordance with the existing experimental values and with other theoretical predictions. It is found that an additional attractive interaction of the order of -200 Me$V$ is required for the antisymmetric states of $Λ_{Q}$ (Q$\in c,b)$. It is also found that the spin hyperfine interaction parameters play decisive role in hadron spectroscopy.

hep-ph↗
arXiv2008

Masses and Magnetic moments of Triply Heavy Flavour Baryons in Hypercentral Model

Triply heavy flavour baryons are studied using the hyper central description of the three-body system. The confinement potential is assumed as hyper central coulomb plus power potential with power index $p$. The ground state ($J^P={1/2}^+$ and ${3/2}^+$) masses of heavy flavour baryons are computed for different power index, $ p$ starting from 0.5 to 2.0. The predicted masses are found to attain a saturated value with respect to variation in $p$ beyond the power index $p>1.0$. Using the spin-flavour structure of the constituting quarks and by defining effective mass of the confined quarks within the baryons, the magnetic moments are computed with no additional free parameters.

hep-ph↗
arXiv2008

Properties of $Q\bar{Q}$ $(Q εb, c)$ mesons in Coulomb plus Power potential

The decay rates and spectroscopy of the $Q \bar Q$ $(Q \in c, b)$ mesons are computed in non-relativistic phenomenological quark antiquark potential of the type $V(r)=-\frac{α_c}{r}+A r^ν$, (CPP$_ν$) with different choices $ν$. Numerical solution of the schrodinger equation has been used to obtain the spectroscopy of $Q\bar{Q}$ mesons. The spin hyperfine, spin-orbit and tensor components of the one gluon exchange interaction are employed to compute the spectroscopy of the few lower $S$ and orbital excited states. The numerically obtained radial solutions are employed to obtain the decay constant, di-gamma and di-leptonic decay widths. The decay widths are determined with and without radiative corrections. Present results are compared with other potential model predictions as well as with the known experimental values.

hep-ph↗
arXiv2008

Open flavour Charmed Mesons

We present here recent results on the investigations of the mass spectrum (S-states and P-states), decay constants, decay widths and life time of the D, $D_s$,and $B_c$mesons within the framework of phenomenological potential models.We also present the binding energy and the masses of the di-meson molecular systems with one or more charm meson combinations. Many of the newly found experimental open charm states are identified with the orbital excitations of the conventional open charm mesons while others like X(3872), Y(3930), $D_{sJ}$(2632, 2700) \emph{etc.}, are identified as molecular like states.

hep-ph↗
arXiv2008

Masses and Magnetic Moments of Charmed Baryons Using Hyper Central Model

Heavy flavour baryons containing one or two charm quarks with light flavour combinations are studied using the hyper central description of the three-body system. The confinement potential is assumed as hyper central coulomb plus power potential with power index $ν$. The ground state masses and the magnetic moments of charmed, $J^P={1/2}^+$ and ${3/2}^+$ baryons are computed for different power index, $ ν$ starting from 0.5 to 2.0.

hep-ph↗
arXiv2008

Heavy Flavour Baryons in Hyper Central Model

Heavy flavor baryons containing single and double charm (beauty) quarks with light flavor combinations are studied using the hyper central description of the three-body problem. The confinement potential is assumed as hyper central coulomb plus power potential with power index $\upsilon$. The ground state masses of the heavy flavor, $J^P={1/2}^+$ and ${3/2}^+$ baryons are computed for different power index, $ ν$ starting from 0.5 to 2.0. The predicted masses are found to attain a saturated value in each case of quark combinations beyond the power index $ν=1.0$.

hep-ph↗