Regular Series


Vol. 8 (1977), No. 10, pp. 801 – 900


Magnetic Moments of the Charmed Vector Bosons

abstract

The magnetic moments of the charmed vector bosons and those of the usual ones have been compared assuming that the magnetic moment operator transforms as the (15,3) component of SU(8) symmetry. If the \(\psi \)-particle can be identified as c\(\overline {{\rm c}}\), the charmed quark–antiquark state, then we find \(\mu (\psi )=4\mu ({\varrho ^0})\).


About Internal Symmetries of the Electromagnetic Field

abstract

Internal symmetries of the two potential formulation of electrodynamics are considered. Dual and Larmor transformations of the field are shown to be rotations in the three-dimensional space of all complex linear combinations of Lorentz invariants of the field while the mixed gauge transformations of Cabibbo and Ferrari are shown to form translations in the same space.


Reduced Mass for Relativistic Quantum-Mechanical Problems

abstract

A relativistic generalization of the reduced mass is proposed. Using it, it is possible to reduce approximately some relativistic two-body problems to the problem of a single non-relativistic particle interacting with a fixed potential.


Real Part of the pn Forward Scattering Amplitude and the np Charge Exchange

abstract

The real part of the pn forward scattering amplitude has been evaluated in the energy range from 1.5 GeV/\(c\) to 60 GeV/\(c\). The calculations are based on the strict equality which connects the real and imaginary parts of the pn and pp forward scattering amplitudes with the np charge exchange cross section in the forward direction, provided that strong interactions are isotopically invariant and spin effects are negligible.


Beta-Decay of Pseudoscalar Mesons in Spectrum-Generating SU(3)

abstract

Data on the beta-decays of pseudoscalar mesons are compared with the predictions of a spectrum-generating SU(3). When the experimental \(t\)-dependence of form-factor is taken into account, the predictions for overall factor and \(\xi \) are in agreement with the data on \(\pi _{e3}\), K\(^{\pm }_{l3}\), and K\(^0_{e3}\). The difference of \(\xi \) in K\(^0_{\mu 3}\) from that in K\(_{\mu 3}^{\pm }\) is discussed with the possible existence of scalar interaction violating the \({\mit \Delta }I=1/2\) rule. The decay width for K\(^0_{\rm L} \to \) K\(e\nu \) in the model is shown to be two orders of magnitude narrower than that in the Cabibbo model.


High-Energy Bremsstrahlung and Pair Production in the Coulomb Field: Bethe and Maximon Versus Cheng and Wu Approaches

abstract

High-energy bremsstrahlung and pair production in the Coulomb field are investigated. The Cheng and Wu impact formula for the amplitude (obtained for a screened potential) is evaluated in the limit when the screening is removed; it is compared then with the high-energy limit of the amplitude calculated by Bethe and Maximon for the unscreened potential. The two limits are shown to be identical provided we calculate correctly the no-screening limit of the Coulomb scattering amplitude. In Cheng and Wu paper this calculation was wrong what led to double counting of the Bethe-Heitler amplitude for pair creation.


Elastic p–p Cross-Section and Multiple Scattering of Quarks

abstract

The elastic p–p cross-section is calculated in the quark model using Glauber multiple scattering expansion. We find that: (a) recoil effects are crucial for momentum transfers higher than 2(GeV/\(c\))\(^2\); (b) multiple scattering terms are larger than required by the data. We interpret this last result as evidence for negative correlations at short distances (in the impact parameter plane) between quarks in the proton.


Some Characteristics of Compound Shower and Grey Tracks Multiplicity Distributions Produced in Proton Emulsion Interactions

abstract

Data concerning “compound multiplicity” consisting of shower and grey tracks produced in proton-emulsion interactions are presented. Independence of energy for any target nucleus excitation is found for the normalized compound multiplicity distribution, starting from about 6 GeV of primary energy. Data can be understood in terms of consecutive collision models of the incident particle with target nucleons.


The Contribution of Pickup Channels to the Helion Optical Potential

abstract

The coupled reaction channel formalism has been employed to determine the contribution to the helion optical potential of strongly coupled alpha particle channels. The effect is large from 18 MeV to 51 MeV and probably to much higher energies. This result is important for ab initio calculations of helion (or alpha particle) optical potentials, or for the use of these projectiles in nuclear shape or size measurements, since the strong transfer contributions are peaked in the nuclear surface.


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