Showing papers on "Pseudoscalar published in 1971"
TL;DR: In this paper, the anomalous Ward identities are shown to satisfy consistency or integrability relations, which restrict their possible form, for the case of SU(3) × SU(1) and for SU(2) + SU (3) + 2.
2,450 citations
TL;DR: In this paper, the same pseudoscalar pions are incorporated into Ramond's model of free dual fermions, by considering the emission of $N ε-ensuremath{-1$ pions and factorizing in the quark-antiquark channel.
Abstract: Interacting pseudoscalar pions are incorporated into Ramond's model of free dual fermions. By considering the emission of $N\ensuremath{-}1$ pions and factorizing in the quark-antiquark channel, we recover the same $N$-pion amplitudes as were proposed in a previous paper.
229 citations
CERN1
TL;DR: In this article, the authors discuss η and η − η mixing in pseudoscalar mesons and give an explanation for the striking dip observed in the K − p → ηλ cross-section at − t ∼ 0.4 GeV 2.
19 citations
TL;DR: In this paper, a class of dual models with Mandelstam analyticity is considered, and the problem of the correct boundary of the spectral function for the scattering of scalar and pseudoscalar particles and a consistent procedure for the removal of multifold poles appearing on daughter levels are investigated.
12 citations
TL;DR: In this paper, it was shown that nonet boson couplings and mass relations exhibit simple patterns in the framework of asymptotic SU(3) symmetry and the chiral SU (3) ⊗ SU( 3) charge algebra, and its implications for the X(958) and E(1422) is discussed.
9 citations
TL;DR: In this paper, the induced pseudoscalar form factor F p ( q 2 ; i ↔ f) in weak leptonic nuclear processes was calculated using the impulse approximation and applying the PCAC hypothesis directly to nuclei.
9 citations
TL;DR: In this article, the field algebra model with symmetry breaking is generalized to include axial-vector mesons and pseudoscalar mesons forming a non-linear realization of chiral SU(3) × SU( 3).
7 citations
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TL;DR: In this paper, the partial-capture rates of muons in 11B and 11Be (gs) and the hyperfine effect in the transition to 11Be*, are studied Comparing these results with the beta-decay of 11Be and the electromagnetic transition11Be* → 11Be, we can derive some conclusions on the nuclear structure of the bound states of11Be and also discuss some possible experiences which can give information on the pseudoscalar form factor in weak interactions
Abstract: In this paper the partial-capture rates of muons in11B going to11Be(gs) and11Be (320 keV), as well as the hyperfine effect in the transition to11Be*, are studied Comparing these results with the beta-decay of11Be and the electromagnetic transition11Be* →11Be, we can derive some conclusions on the nuclear structure of the bound states of11Be We also discuss some possible experiences which can give information on the pseudoscalar form factor in weak interactions
7 citations
TL;DR: In this article, the exact J = 0 vector-scalar sector solutions to the equal mass spinor-spinor Bethe-Salpeter equation for the massless-meson exchange ladder model at the vanishing total 4-momentum were discussed.
Abstract: A new method is proposed to discuss the exact J = 0 vector‐scalar sector solutions to the equal‐mass spinor‐spinor Bethe‐Salpeter equation for the massless‐meson exchange ladder model at the vanishing total 4‐momentum. Under the assumption that all solutions belonging to a discrete spectrum have a discrete spectral representation in the relative 4‐momentum squared, it is proved that no discrete solutions other than the solution (in the vector‐coupling case) found by Bastai, Bertocchi, Furlan, and Tonin exist in any case of the scalar, pseudoscalar, and vector couplings. As for the case of the axialvector coupling, it is shown that possible eigenvalues have to belong to one of three exponentially increasing sequences; but the existence of any solution other than Keam's one is quite unlikely. It is mathematically interesting that in the above analysis one encounters some Diophantine equations of the second degree.
7 citations
TL;DR: In this article, the quark selection principle was applied to the calculation of the elastic electromagnetic form factor of a pseudoscalar meson, and it was found that the form factor falls of for large momentum transfer like 1 q 2.
6 citations
TL;DR: In this article, the nonconserved part of the vector currents, assumed to have second-class transformation properties, is taken to be proportional to interpolating scalar fields, and new sum rules for second class form factors are obtained, which are then used to calculate the η → π and Σ → Λ semi-leptonic appropriate transitions.
Abstract: The nonconserved part of the vector currents, assumed to have second-class transformation properties, is taken to be proportional to interpolating scalar fields. By this procedure, new sum rules for second-class form factors are obtained, which are then used to calculate the η → π and Σ → Λ semi-leptonic appropriate transitions. The couplings of scalar mesons to baryons are shown to be two orders of magnitude smaller than those of pseudoscalar mesons.
TL;DR: In this article, it is proved that Stichel's theorem is valid in a much wider context than initially supposed, and the nature of the assumptions involved is investigated and the correction terms are obtained.
TL;DR: In this paper, the low-momentum transfer behavior of the pseudoscalar mesons is derived, starting with the model-independent equal-time commutation relations between the stress tensor and the axial-vector current.
Abstract: The low-momentum-transfer behavior of the gravitational form factors of the pseudoscalar mesons is derived, starting with the model-independent equal-time commutation relations between the stress tensor and the axial-vector current The results indicate significant deviations from tensor-meson pole dominance and scalar-meson pole dominance of the matrix elements of the traceless part and the trace, respectively, of the stress tensor An expression is derived for the stress-tensor-$\ensuremath{\epsilon}$-meson coupling in terms of ${g}_{{A}_{1}\ensuremath{\epsilon}\ensuremath{\pi}}$ With additional assumptions, a phenomenological result is obtained for the scale dimension of the pion field Possible mechanisms are discussed which may give rise to large values of the rms radii of the form factors As an example of additional phenomenological results obtainable from the scheme discussed here, a result is derived for the $f{A}_{1}\ensuremath{\pi}$ coupling
TL;DR: Experimental tests of the VMD model in pseudoscalar meson photoproduction are reviewed in this paper, where difficulties associated with the model are discussed and their possible origins are pointed out.
TL;DR: In this article, effective meson operators are exhibited for a class of chiral SU(2) current models, and the general (12N, 12N) symmetry breaking Hamiltonian is constructed from Schwinger terms.
TL;DR: In this paper, the meson and octet baryon mass shifts are correlated using the formalism developed in the preceding paper, and it is found that the electromagnetic breaking term in the Lagrangian may be of the same order of magnitude as the chiral symmetry-breaking term.
Abstract: Using the formalism developed in the preceding paper, we investigate electromagnetic perturbations in a rather general chiral $\mathrm{SU}(3)\ifmmode\times\else\texttimes\fi{}\mathrm{SU}(3)$ model of mesons. The meson and octet baryon mass shifts can be successfully correlated, and it is found that the electromagnetic breaking term in the Lagrangian may be of the same order of magnitude as the chiral-symmetry-breaking term. We also discuss the speculation that all strong symmetry breaking may be of electromagnetic and weak origin.
TL;DR: The validity of vector-meson dominance (VMD) relations for photoproduction of pseudoscalar mesons is tested in some well-defined calculable models as mentioned in this paper.
TL;DR: By using a new technique, based on octet transforming axial divergences, the if(3,3) ⊗ (3, 3) symmetry breaking of chiral SU(3) is explicitly realized to lowest orders on vector and axial vector mesons interacting with pseudoscalar mesons.
CERN1
TL;DR: In this article, the amplitude for the diffractive dissociation of a pseudoscalar meson into a proton is decomposed into natural-and unnatural-parity components of the dissociated system.
[...]
TL;DR: In this article, the relativistic eikonal approximation (REA) is applied to summing the exchange of soft mesons with both rescattering and self-energy effects included.
TL;DR: In this paper, the problem of obtaining a true factorization for the Veneziano model with several parent trajectories of unequal intercepts is solved, and the Gliozzi gauge operators are obtained for this general case.
TL;DR: In this article, a new pseudoscalar meson theory was proposed, where all quantities are finite and only two independent parameters appear: the bare coupling constantG0 and the bare nucleon massm0.
Abstract: Recent methods using an indefinite metric are applied to the study of the mass-eigenvalue problem of a conventional pseudoscalar meson theory. In this new theory all quantities are finite and only two independent parameters appear: the bare coupling constantG0 and the bare nucleon massm0.G0 determines the ratio between the pion and nucleon masses;m0 is a scale factor fixing the unity of masses.
01 Jan 1971
TL;DR: In this paper, the decay widths of scalar mesons into two o- mesons and n-n scattering are investigated. But the treatment of'symmetry breaking is largely model-dependent in the effective Lagrangian.
Abstract: 3 > the existence of which is naturally expected in the SU(6) frame work. Then it seems important to study processes involving o+ mesons as well ·as other hadrons and to discuss effects of scalar mesons on various processes. Matrix elements of soft-pion processes and the masses of pseudoscalar (O-) mesons can be treated by means of a techniqu~ with current algebra and PCAC relation. With this method, however, we cannot deal with the masses of o+ mesons nor discuss hard pion processes without ad hoc smoothness assumption. 4 > Therefore it would be significant and worth while to examine low-energy phenomena from soft-pion to hard-pion processes by means of the effective Lagrangian based on the linear representation of chiral symmetry. In this paper, we shall construct chiral invariant Lagrangians based on the linear realization of chiral SW (2) symmetry and study especially decay widths of scalar mesons into two o- mesons and n-n scattering. Although investigations into the structure of chiral SW (3) breaking are interesting problems, the treatment of 'symmetry breaking is largely model-dependent in the effective Lagrangian
TL;DR: In this article, it was suggested that the baryons as well as the electron and muon can be thought of as composite objects, and that the bare mass M0 of the fermion involved is simply related to its physical mass M by M0 = Z2 M.
TL;DR: A renormalizable theory of weak interactions with a single spin-zero charged massive intermediate boson W ± and two charged massive leptons, L e ±, L μ ±, is presented in this article.
TL;DR: In this paper, a renormalizable theory of massive neutral pseudovector mesons interacting with nucleons is treated in the Stuckelberg formalism using some recently developed nonlinear techniques.
Abstract: The conventionally nonrenormalizable theory of massive neutral pseudovector mesons interacting with nucleons is treated in the St\"uckelberg formalism using some recently developed nonlinear techniques. The theory is split into two parts: a renormalizable interaction of mesons with nucleons, which can be treated by standard methods, and an exponential interaction of pseudoscalar mesons with nucleons, which is dealt with using nonlinear methods. It is shown that all the infinities of the theory may be eliminated by adding suitable counterterms. Thus the complete theory becomes renormalizable. Similar considerations also apply if a parity-violating term is introduced in the original pseudovector interaction.
TL;DR: In this paper, the authors investigated theories in which the chiral and scale invariant limits are realized in the Goldstone fashion with the appearance of an octet of pseudoscalar and one scalar, Goldstone bosons.