Validity Of SU Research Articles

A global analysis of charmless two body hadronic decays for anti-triplet charmed baryons

Recently Belle collaboration reported new measurements for the branching fractions with the first observing two processes of mathcal{B}left({Xi}_c^0to Lambda {K}_S^0right) , mathcal{B}left({Xi}_c^0to {Sigma}^0{K}_S^0right) and updating data for mathcal{B}left({Xi}_c^0to {Sigma}^{+}{K}^{-}right) . Combined with other known data on charmless two body decays of anti-triplet charmed baryons, a lot of information can be derived with the assistance of SU(3) flavour symmetry. Using SU(3) relations between different decay modes, we can give some predictions based on the new measurements which can be tested with the high luminosity experiments in the future. More interestingly, we find that a global fit is now possible with the addition of new Belle data. In general, there are 18 complex SU(3) invariant amplitudes. We find that a scenario of all amplitudes being real can fit the data well with a χ2/d.o.f. only 0.773. This indicates that neglecting the phases of the amplitudes is a reasonable assumption. When more data become available, one may be able to get more information for phases in the amplitudes. We give several comments on the feature of global fit regarding the branching fractions, relations between different decays, and decays involving K0 and overline{K} 0. Many of the unknown branching fractions and polarization asymmetry parameters of anti-triplet charmed baryon for charmless two body decays are predicted to be accessible by experiments at Belle, Belle II, BES-III, and LHCb. The validity of SU(3) for charmless two body hadronic decays can be more accurately tested.

SU(3) symmetry and its breaking effects in semileptonic heavy baryon decays

We employ the flavor SU(3) symmetry to analyze semileptonic decays of anti-triplet charmed baryons (Λc+,Ξc+,0) and find that the experimental data on B(Λc→Λℓ+νℓ) implies B(Ξc0→Ξ−e+νe)=(4.10±0.46)% and B(Ξc0→Ξ−μ+νμ)=(3.98±0.57)%. When this prediction is confronted with recent experimental results from Belle collaboration B(Ξc0→Ξ−e+νe)=(1.31±0.04±0.07±0.38)% and B(Ξc0→Ξ−μ+νμ)=(1.27±0.06±0.10±0.37)%, it is found that the SU(3) symmetry is severely broken. We then consider the generic SU(3) breaking effects both in decay amplitudes and the mixing effect between the anti-triplet and sextet charmed baryons. We find that the pertinent data can be accommodated in different scenarios but the breaking effects are inevitably large. In some interesting scenarios, we also explore the testable implications in these scenarios which can be stringently tested with more data become available. Similar analyses are carried out for the semileptonic decays of anti-triplet beauty baryons to octet baryons and anti-triplet charmed baryons. The validity of SU(3) for these decays can also be examined when data become available.

Validity of SU(3) in the 0p1f shell

Complexities of using an SU(4) and SU(3) basis in the [Formula: see text] shell are discussed. SU(3) representations are detailed for 2–5 particles. Earlier calculations by McGrory are discussed with the view of using the SU(3) model to describe multi-particle multi-hole states.

Validity of SU(3) and violation of Zweig's rule for vector meson-nucleon coupling constants

A recent analysis of the electromagnetic nucleon form factors has yielded reliable values of the vector coupling constants g 1( ωNN), g 1( øNN). These, together with g 1( ϱNN), turn out to be compatible with SU(3), if a pure F-type coupling and an almost ideal mixing angle are assumed. The fairly large ratio g 1(ø NN) g 1(ø NN) ≈ −0.4 is almost entirely due to the coupling of ss to the nucleon and therefore indicates a strong violation of Zweig's rule. One of the largest structures in the nucleon spectral function occurs at the mass of a particle ϱ′(1250) which is not yet well-established and of which nonet partners are not known.

M1 transitions and the validity of SU(4) symmetry in light nuclei

A sum rule for M1 transitions is derived and is found to be saturated with low11ing states in 6Li and 10B. This is consistent with a very small amount of supermultiplet impurity present in the ground state. For self-conjugate 4 N and conjugate 4 N ± 1 nuclei, using experimental data on ΔT = 1 M1 transitions from the ground to excited states, we are able to estimate the super-multiplet impurity present in the ground state. It is found that the amount of supermultiplet impurity reaches a maximum at the middle of the shell and decreases to zero at the beginning and at the end of the shell. Under the assumption that the giant magnetic dipole resonance dominates the sum rules we find a relation which predicts the excitation energy of the T = 0, J π = 1 + state in 12C to be 12 MeV as compared with the experimental value of 12.71 MeV.

Sum rule from ω-ϕ mixing and asymptotic validity ofSU 3

Sum rule from ω-ϕ mixing and asymptotic validity ofSU 3

Virtual particles and the baryon-baryon system

The1S0 virtual bound state of the nucleon-nucleon system is shown to belong to the 27-dimensional representation of the symmetry scheme based onSU(3) known as the eight-fold way. The other states of this multiplet are derived. Experimental evidence bearing on this state is discussed and it is suggested that if the many complications of baryon number-2 states can be disentangled they can provide a fertile field for studying the validity ofSU(3).