Study of theKN−K*Ncoupled system ins-wave

Abstract

We study the strangeness +1 meson-baryon systems to obtain improved KN and K * N amplitudes and to look for a possible resonance formation by the KN -K * N coupled interaction. We obtain amplitudes for light vector meson-baryon systems by implementing the s-, t-, u-channel diagrams and a contact interaction. The pseudoscalar meson-baryon interactions are obtained by relying on the Weinberg-Tomozawa theorem. The transition amplitudes between the systems consisting of pseudoscalars and vector mesons are calculated by extending the Kroll-Ruderman term for pion photoproduction replacing the photon by a vector meson. We fix the subtraction constants required to calculate the loops by fitting our KN amplitudes to the data available for the isospin 0 and 1 s-wave phase shifts. We provide the scattering lengths and the total cross sections for the KN and K * N systems obtained in our model, which can be useful in future in-medium calculations. Our amplitudes do not correspond to formation of any resonance in none of the isospin and spin configurations.

$$\Lambda _b \rightarrow \pi ^- (D_s^-) \Lambda _c(2595),~\pi ^- (D_s^-) \Lambda _c(2625)$$ Λ b → π - ( D s - ) Λ c ( 2595 ) , π - ( D s - ) Λ c ( 2625 ) decays and $$DN,~D^*N$$ D N , D ∗ N molecular components

“…The mixture of pseudoscalar-baryon and vector-baryon states in coupled channels is catching up [25,26,[39][40][41][42] and, as done in the present work, it would be interesting to find similar reactions that make evident the relevance of this mixing.…”

Spectroscopy of light ${{N^*}}$ baryons

“…We can also expect the new results from the analysis project like EBAC, Julich, SAID, MAID, etc. Many theoretical studies are the phenomenological tool to investigate the excited resonances of nucleons; various quark models [21][22][23][24][25][26][27][28], Basis Light Front Quantization (BLFQ) approach [29], BnGa partial wave analysis [30], chiral Lagrangian theory [31], Fadeev approach [32,33] Lattice QCD [34][35][36],etc.…”

Predictions for $$\Xi _b^- \rightarrow \pi ^- (D_s^- ) \ \Xi _c^0 (2790) \left( \Xi _c^0 (2815) \right) $$ Ξ b - → π - ( D s - ) Ξ c 0 ( 2790 ) Ξ c 0 ( 2815 ) and $$\Xi _b^- \rightarrow \bar{\nu }_l l \ \Xi _c^0 (2790) \left( \Xi _c^0 (2815) \right) $$ Ξ b - → ν ¯ l l Ξ c 0 ( 2790 ) Ξ c 0 ( 2815 )

“…We also checked that the results were sensitive to the couplings of the D * B components and confirmation of this feature by experiment could give a boost to the relevance of the mixing of pseudoscalar-baryon and vector-baryon components in the building up of the molecular baryonic states, a subject which is catching up in the hadronic community [15][16][17][18][42][43][44].…”