J.Terrance Goldman

Effective functional form of Regge trajectories

We present theoretical arguments and strong phenomenological evidence that hadronic Regge trajectories are essentially nonlinear and can be well approximated, for phenomenological purposes, by a specific square-root form. (c) 2000 The American Physical Society.

Phenomenological aspects of isospin violation in the nuclear force

Abstract Phenomenological Lagrangians and dimensional power counting are used to assess isospin violation in the nucleon-nucleon force. The πNN coupling constants (including the Goldberger-Treiman discrepancy), charge-symmetry breaking, and meson-mixing models are examined. A one-loop analysis of the isospin-violating πNN coupling constants is performed using chiral perturbation theory. Meson-mixing models and the 3He3H mass difference are also discussed in the context of naturalness.

Quark delocalization, color screening, and nuclear intermediate range attraction.

We consider the effect on baryon-baryon potentials and phase shifts of including quark delocalization and color screening in the nonrelativistic quark cluster model. We find that the inclusion of these additional effects allows a good qualitative description of both.

Electromagnetic corrections to the one-pion-exchange potential

Leading-order electromagnetic loop corrections to the one-pion-exchange potential are computed within the framework of chiral perturbation theory. These corrections generate an effective nucleon-nucleon potential, V{sub {pi}{gamma}} , which supplements the sum of one-pion-exchange potential and the nucleon-nucleon Coulomb potential. This potential is charge dependent and its construction is demonstrated to be gauge invariant. The potential V{sub {pi}{gamma}} has been included in the Nijmegen partial-wave analysis of np data. A particular renormalization scheme is chosen that leads to a negligible change in the {pi}{sup {plus_minus}}NN coupling constant and in the np {sup 1}S{sub 0} scattering length and effective range. {copyright} {ital 1998} {ital The American Physical Society}

A Bargmann-Wightman-Wigner-type quantum field theory

Abstract We show that the ( j , 0) ⊕ (0, j ) representation space associated with massive particles is a concrete realisation of a quantum field theory, envisaged many years ago by Bargmann, Wightman and Wigner, in which bosons and antibosons have opposite relative intrinsic parities. Demonstration of the result requires a careful ab initio study of the ( j , 0) ⊕ (0, j ) representation space for massive particles, introducing a wave equation with well defined transformation properties under C , P and T , and addressing the issue of nonlocality required of such a theory by the work of Lee and Wick.

Experiments to measure the gravitational acceleration of antimatter

It has never been directly experimentally demonstrated that antimatter is gravitationally attracted to matter. We discuss the theoretical and experimental situation, and propose a new experiment using antiprotons.

Phenomenological study of hadron interaction models

We present a phenomenological study of three models with different effective degrees of freedom: a Goldstone Boson Exchange (GBE) model which is based on quark-meson couplings, the quark delocalization, color screening model (QDCSM) which is based on quark-gluon couplings with delocalized quark wavefunctions, and the Fujiwara-Nijmegen (FN) mixed model which includes both quark-meson and quark-gluon couplings. We find that for roughly two-thirds of 64 states consisting of pairs of octet and decuplet baryons, the three models predict similar effective baryon-baryon interactions. This suggests that the three very different models, based on different effective degrees of freedom, are nonetheless all compatible with respect to baryon spectra and baryon-baryon interactions. We also discuss the differences between the three models and their separate characteristics.

ON THE REGGE SLOPES INTRAMULTIPLET RELATION

Abstract We show that only additivity of inverse Regge slopes is consistent with both the formal chiral limit m(n)→0 and the heavy quark limit M(Q)≫M(n), where n=u,d, and m,M are current and constituent quark masses, respectively.

Towards resolution of the enigmas of P wave meson spectroscopy

The mass spectrum of P-wave mesons is considered in a nonrelativistic constituent quark model. The results show the common mass degeneracy of the isovector and isodoublet states of the scalar and tensor meson nonets, and do not exclude the possibility of a similar degeneracy of the same states of the axial-vector and pseudovector nonets. Current experimental hadronic and \tau -decay data suggest, however, a different scenario leading to the a_1 meson mass \simeq 1190 MeV and the K_{1A}-K_{1B} mixing angle \simeq (37\pm 3)^o. Possible s\bar{s} states of the four nonets are also discussed.

Oscillations of recoil particles against mixed states

Some consequences of the oscillations of neutral kaons and neutrinos are discussed, in particular, the possibility of oscillations of particles recoiling against kaons or neutrinos from the production process. We show that there are no stationary oscillations of these recoil particles in any order, and that the apparent long-wavelength oscillations, which might appear to result when an earlier treatment of ours was taken to higher order, are spurious. We show that the recoil particles may show a travelling interference pattern. It may be possible to observe this pattern for