Pseudoscalar or vector meson production in non-leptonic decays of heavy hadrons

Abstract

We have addressed the study of non-leptonic weak decays of heavy hadrons (${\Lambda }_b,{\Lambda }_c,B$ and $D$), with external and internal emission to give two final hadrons, taking into account the spin-angular momentum structure of the mesons and baryons produced. A detailed angular momentum formulation is developed which leads to easy final formulas. By means of them we have made predictions for a large amount of reactions, up to a global factor, common to many of them, that we take from some particular data. Comparing the theoretical predictions with the experimental data, the agreement found is quite good in general and the discrepancies should give valuable information on intrinsic form factors, independent of the spin structure studied here. The formulas obtained are also useful in order to evaluate meson-meson or meson-baryon loops, for instance of $B$ decays, in which one has PP, PV, VP or VV intermediate states, with P for pseudoscalar mesons and V for vector meson and lay the grounds for studies of decays into three final particles.

54 pages, 7 figures, 13 tables; v2: 60 pages, 9 figures, 14 tables, discussion added, references added, version to appear in Eur.Phys.J. C

References in corpus (14)

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• Charmless non-leptonic B_s decays to PP, PV and VV final states in the pQCD approach
• The Status of Glueballs
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• The Scalar Meson f0(980) in Heavy-Meson Decays
• Nonleptonic $B_s$ to charmonium decays: analyses in pursuit of determining the weak phase ${\beta }_s$
• Whether new data on $D_s\to f_0(980)e^{+}{\nu }_e$ can be understood if $f_0(980)$ consists of only the conventional $q\bar{q}$ structure
• Hadronic D decays involving even-parity light mesons
• Hidden charm pentaquark and $\Lambda (1405)$ in the ${\Lambda }_b^0\to {\eta }_c{K}^{-}p(\pi \Sigma )$ reaction
• Probing scalar mesons in semi-leptonic decays of $D_s^{+}$, $D^{+}$ and $D^0$

Cited by in corpus (13)

• Hadronic weak decays of ${\Lambda }_c$ in the quark model
• The $B^{+}\to J/\psi \omega K^{+}$ reaction and $D^{\ast }{\bar{D}}^{\ast }$ molecular states
• Interpretation of the ${\Omega }_c\to {\pi }^{+}\Omega (2012)\to {\pi }^{+}(\bar{K}\Xi )$ relative to ${\Omega }_c\to {\pi }^{+}\bar{K}\Xi$ from the $\Omega (2012)$ molecular perspective
• The ${\bar{B}}^0\to D^{\ast +}{\bar{D}}^{\ast 0}{K}^{-}$ reaction to detect the $I=0,J^P=1^{+}$ partner of the $X_0(2866)$
• Semileptonic decays of $B^{(\ast )}$, $D^{(\ast )}$ into $\nu l$ and pseudoscalar or vector mesons
• ${\tau }^{-}\to {\nu }_{\tau }{M}_1{M}_2$, with $M_1,M_2$ pseudoscalar or vector mesons
• Looking for the exotic $X_0(2866)$ and its $J^P=1^{+}$ partner in the ${\bar{B}}^0\to D^{(\ast )+}{K}^{-}{K}^{(\ast )0}$ reactions
• Beauty baryon non-leptonic decays into decuplet baryons and $CP$-asymmetries based on $SU(3)$-Flavor analysis
• Weak decays of $B_c$ into two hadrons under flavor SU(3) symmetry
• ${\bar{B}}^0\to {\bar{K}}^{(\ast )0}X$, $B^{-}\to K^{(\ast )-}X$, ${\bar{B}}_s^0\to \eta ({\eta }^{\prime },\varphi )X$ from the $X(3872)$ molecular perspective
• Helicity amplitudes in $B\to D^{\ast }\bar{\nu }l$ decay
• Observation of ${\Lambda }_b^0\to {\Lambda }_c^{+}{\bar{D}}^{(\ast )0}{K}^{-}$ and ${\Lambda }_b^0\to {\Lambda }_c^{+}{D}_s^{\ast -}$ decays
• Polarization amplitudes in ${\tau }^{-}\to {\nu }_{\tau }VP$ decay beyond the standard model