Masses of the low lying four quark states in the hidden charm sector (cqcq; q ∈ u, d) are calculated within the framework of a non-relativistic quark model. The four body system is considered as two twobody systems such as diquark-antidiquark (Qq −Qq) and quark antiquark-quark antiquark (Qq −Qq) molecular-like four quark states. Here, Cornell type potential has been used for describing the two body interactions among Q − q,Q −q, Q −q, Qq −Qq and Qq −Qq, with appropriate string tensions. Our present analysis suggests the following exotic states, X(3823), Zc(3900), X(3915), Zc(4025), ψ(4040), Z1(4050) and X(4160) as Qq −Qq molecular-like four quark states while Zc(3885), X(3940) and Y (4140) as the diquark-antidiquark four quark states. We have been able to assign the J P C values for many of the recently observed exotic states according to their structure. Apart from this, we have identified the charged state Z(4430) recently confirmed by LHCb as the first radial excitation of Zc(3885) with G=+1 and Y (4360) state as the first radial excitation of Y (4008) with G = −1 and the state ψ(4415) as the first radial excitation of the ψ(4040) state.

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The mass spectra of D meson states are calculated in the framework of a relativistic independent quark model. For the present study, we have used the martin like potential for the quark confinement. Our predicted states in S-wave, 2 3 S 1 (2605.86 MeV) and 2 1 S 0 (2521.72 MeV) are in very good agreement with experimental result of 2608±2.4± 2.5 MeV and 2539.4 ± 4.5 ± 6.8 MeV respectively reported by BABAR Collaboration. The calculated P-wave D meson states, 1 3 P 2 (2468.22 MeV), 1 3 P 1 (2404.94 MeV), 1 3 P 0 (2315.24 MeV) and 1 1 P 1 (2367.94 MeV) are in close agreement with experimental average (Particle Data Group) values of 2462.6 ± 0.7 MeV, 2427 ± 26 ± 25 MeV, 2318 ± 29 MeV and 2421.3 ± 0.6 MeV respectively. The pseudoscalar decay constant (f P = 202.57 MeV) of D meson obtained using this relativistic formalism is in very good agreement with the experiment as well as with the lattice and other available theoretical predictions. The Cabibbo favoured hadronic decay branching ratios, BR(D 0 → K − π + ) as 3.835% and BR (D 0 → K + π − ) as 1.069 × 10 −4 are also in very good agreement with the respective experimental values of 3.91 ± 0.08% and (1.48 ± 0.07) × 10 −4 reported by CLEO Collaboration. Our predicted results in leptonic decay widths of D meson are also in better accord with experiment as well as other theoretical results. The mixing parameters of D 0 −D 0 oscillation, x q (5.14 ×10 −3 ), y q (6.02 ×10 −3 ) and R M (3.13 ×10 −5 ) are in very good agreement with BaBar and Belle Collaboration results.

For the present study, we have used the Martinlike potential for the quark confinement. Our predicted states in the S-wave, 2 3 S 1 (2605.86 MeV) and 2 1 S 0 (2521.72 MeV), are in very good agreement with experimental results of 2608 ± 2.4 ± 2.5 MeV and 2539.4 ± 4.5 ± 6.8 MeV, respectively, reported by the BABAR Collaboration. The calculated P-wave D meson states, 1 3 P 2 (2462.50 MeV), 1 3 P 1 (2407.56 MeV), 1 3 P 0 (2373.82 MeV) and 1 1 P 1 (2423.

Properties of quarkonia-like states in the charm and bottom sector have been studied in the frame work of relativistic Dirac formalism with a linear confinement potential. We have computed the mass spectroscopy and decay properties (vector decay constant and leptonic decay width) of several quarkonia-like states. The present study is also intended to identify some of the unexplained states as mixed P-wave and mixed S-D-wave states of charmonia and bottomonia. The results indicate that the X(4140) state can be an admixture of two P states of charmonium. And the charmoniumlike states X(4630) and X(4660) are the admixed state of S-D-waves. Similarly, the X (10610) state recently reported by Belle II can be mixed P-states of bottomonium. In the relativistic framework we have computed the vector decay constant and the leptonic decay width for S wave charmonium and bottomonium. The leptonic decay widths for the J PC = 1 −− mixed states are also predicted. Further, both the masses and the leptonic decay width are considered for the identification of the quarkonia-like states.

Based on Martin-like potential, the masses of quarkonia states and their leptonic decay widths have been reviewed. The hyperfine, spin orbit and tensor interactions are employed to compute the spin splitting of the nS states and the fine splittings of the P and D states. The analysis based on the predicted masses and leptonic decay widths clearly indicates that c ð3686Þ is a mixed state with a 50%-50% admixture of c " c ð2SÞ and the hybrid c " cg in accordance with the suggestion that resolves the À puzzle related to c ð2SÞ. And Çð10355Þ as similar admixture of b " b ð3SÞ with b " bg in accordance with the resolution of Vogel puzzle related to Çð3SÞ state. Analyses on the level differences of S-wave excited states of quantum mechanical bound systems show a systematic behavior as n increases. In view of such systematic behavior expected for quarkonia, we observe that Yð4260Þ and Zð4430Þ 1 ÀÀ states are closer to the 4S and 5S states with leptonic decay widths predicted as 0.65 keV and 0.49 keV, respectively. The c " c ð6SÞ 1 ÀÀ state is predicted to be around 4600 MeV and its leptonic decay width 0.39 keV. The present study also favors other charmonialike states, Yð4360Þ and Yð4660Þ, as admixtures of charmonia S À D states. Similarly we find Çð10865Þ does not fit either the 5S state or an admixture of S À D states of a b " b system. We identify Y b ð10888Þ observed by Belle as the 6S state of bottonia whose leptonic width is predicted as 0.158 keV. Our predicted leptonic width, 0.242 keV of Çð10575; 4SÞ, is in good agreement with the experimental value of 0:272 AE 0:029 keV. We predict the pure Çð5SÞ state at about 100 MeV lower than 10865 MeV and its leptonic width 0.191 keV. The upsilon state Çð11019Þ seems to be the right candidate for the 7S state, with 0.134 keV as its predicted leptonic width, which is in very good agreement with the experimental value of 0:13 AE 0:03 keV.

A new series of 4H-chromene derivatives 4(a-p) bearing 5-phenoxypyrazole nucleus has been synthesized under microwave irradiation by reaction of 5-phenoxypyrazole-4-carbaldehyde 1(a-h), malononitrile 2 and compounds (Cyclohexanedione, Dimedon) 3(a-b) in presence of NaOH as basic catalyst. All the compounds were screened against three Gram positive bacteria (Streptococcus pneumoniae, Clostridium tetani, Bacillus subtilis), three Gram negative bacteria (Salmonella typhi, Vibrio cholerae, Escherichia coli) and two fungi (Aspergillus fumigatus, Candida albicans) using broth microdilution MIC (Minimum Inhibitory Concentration) method. Upon study of antimicrobial screening, it has been observed that, majority of the compounds were found to be active against Clostridium tetani and Bacillus subtilis as well as against Candida albicans as compared to standard drugs

Mass spectra of bottomonium states are computed using the Instanton Induced potential obtained from Instanton Liquid Model for QCD vacuum and incorporating a stronger confinement term. Spin dependent interactions through confined one gluon exchange potential are incorporated to remove the mass degeneracy. The mass spectra of the $$b\bar{b}$$ b b ¯ states up to 4S states are found to be in good agreement with the values reported by PDG(2020). Mixing of nearby isoparity states are also studied. We found the state $$\varUpsilon (10{,}860)$$ Υ ( 10 , 860 ) as an admixture of $$5^3S_1$$ 5 3 S 1 and $$6^3D_1$$ 6 3 D 1 Upsilon states with mixing angle $$\theta = 39.98^{\circ }$$ θ = 39 . 98 ∘ and the mixed state di-leptonic decay width is found to be 0.25 keV as against the width of $$0.31 \pm 0.07$$ 0.31 ± 0.07  keV reported by PDG. Further the state $$\varUpsilon (11{,}020)$$ Υ ( 11 , 020 ) is also found to be the admixture of $$6^3S_1$$ 6 3 S 1 and $$5^3D_1$$ 5 3 D 1 Upsilon states with the mixing angle $$\theta = 51.69^{\circ }$$ θ = 51 . 69 ∘ and the di-leptonic decay width of the mixed state is obtained as 0.14 keV which is very close to the width of $$0.13 \pm 0.03$$ 0.13 ± 0.03  keV reported by PDG. Present results indicates that addition of confinement to the instanton potential is crucial for the determination of the mass spectroscopy of heavy hadrons.