Stanley T. Jones

Complex energy spectra in reggeon quantum mechanics with quartic interactions

Abstract We investigate the eigenvalue spectra in reggeon quantum mechanics when the hamiltonian contains both (non-hermitian) cubic and quartic interactions. We employ a new method for finding eigenvalues numerically and discuss the general features of the solutions. For the case of cubic plus symmetric quartic couplings, complex eigenvalues are obtained for a well-defined range in coupling parameters. Eigenvalues are found to cross one another as the couplings are varied. Vanishing eigenvalues are found at values of the couplings predicted by Bronzan, but are not simply related to the states as he suggested. We see the possibility for multiple phase transitions, and find that the spin model approximations are badly violated for a wide range of parameter values. For the case of purely quartic couplings (both symmetric and asymmetric), the eigenvalue spectrum is found to agree qualitatively with Bronzans predictions. Quantitative graphs of the functional dependence of the eigenvalues on the parameters are given.

New structure in the energy spectrum of reggeon quantum mechanics with quartic couplings

Abstract We find general that the energy spectrum of the reggeon hamiltonian with cubic plus quartic interactions at D =0 is more complicated than previously assumed. We observe the phenomenon of “ground state oscillation”, which suggests, for D ≠ 0, the existence of multiple phases. We find that for certain values of the parameters of the theory complex energy eigenvalues occur. We also find complicated level crossings among higher eigenvalues as the quartic coupling strength is increased.

Flavoring, RFT, and In2s physics at the SPS collider

Abstract Within the context of flavored perturbative reggeon field theory (RFT) we show that a simple model can reproduce “log-squared- s physics” in the FNAL-SPS collider region. An extension of the model to t ≠ 0 is in agreement with elastic data. An updated fit to σ tot is given with the complete flavored perturbative RFT phenomenology. Our scenario of present data being influenced by finite scales is compatible with the truly asymptotic limit being described by the critical RFT scaling laws.

Five-point function in the covariant formulation of the type-I superstring theory

Abstract Using the Lorentz-covariant formulation, we calculate the amplitude of the parity-conserving one-loop 5-point function. Hundreds of logarithmic terms that appear in the light-cone gauge and then cancel through intricate identities are absent from the start in the covariant approach. Other advantages of the covariant formalism are also discussed.

Complex energy spectra in reggeon quantum mechanics with cubic plus generalized quartic interactions

Abstract We investigate the energy eigenvalue spectra in reggeon quantum mechanics when the hamiltonian contains (non-hermitian) cubic, symmetric quartic and asymmetric quartic interactions. We describe two new methods for finding eigenvalues numerically. When the asymmetric quartic coupling is zero, the energy eigenvalues cross the vacuum state sequentially as predicted by Bronzan as long as r ≲0.7. For r ⩾0.7 the energy eigenvalues above the ground state pinch together pairwise above the energy axis, leaving the ground state to oscillate about the vacuum. The addition of an asymmetric quartic term appears to dilute the effects produced by increasing the cubic coupling strength. Quantitative graphs of the functional dependence of the eigenvalues on the parameter are given. An alternative derivation of Bronzans formula for vanishing eigenvalues is given in the appendix.

Flavor and baryon quantum number renormalizations in the P + f model

Abstract Flavoring renormalization of the pomeron (i.e., the non-diffractive renormalization due to s,c, … quarks and baryons) can correct the failure of standard P + f models to satisfy f poleresonances duality, when rising π N cross sections are accounted for. We present the P + f + flavoring phenomenology of t = 0 NN, π N, and KN scattering. Some absorption is needed. The unflavored pomeron intercept is 0.91 and the flavored pomeron intercept is 1.1.Flavoring thus appears to be an important ingredient in both the P-f identify and P + f models of diffraction, and renders experimental distinction between them rather vague.

Rising total cross sections and the flavoring of the pomeron

Abstract The relationship of the non-diffractive renormalization of the bare pomeron via K K and B B production - or its “flavoring” by λ quark loops and di-quark loops - and the shape of the NN total cross section is studied in some detail. The “unflavored” bare pomeron P generated by non-strange quark loops with intercept α =0.85 is non-diffractively renormalized into the “flavored” (Gribov) bare pomeron P with intercept α above one ( α = 1.06 here). We utilize inclusive data on K K and B B production as well as inelastic diffraction to constrain parameters, and we fit the combination 1 2 (σ pp + σ p p ) from s = 10 GeV 2 through ISR energies, including the new Fermilab data, to high accuracy. No pronounced long wavelength oscillations are observed. We suggest that these data favor the Chew-Rosenzweig realization of the topological expansion over that of Harari-Freund. We show that our scheme is consistent with the rising behavior of 2 σ KN − σ π N .

Resonance spins and Regge residues

Abstract The diffractive component of the slopes of elastic differential cross sections at intermediate energies is examined in the context of a strong coupling multiperipheral cluster resonance model. The crucial ingredient is the incorporation of resonance spins. Qualitative agreement with πp, Kp, and pp scattering is obtained. We also conjecture a mechanism whereby s-channel helicity can be approximately conserved in elastic but not in certain quasi-elastic diffractive processes. The problem of the extension to NAL-ISR energies is briefly discussed.

Five-particle one-loop closed string amplitudes and supersymmetry relations

Abstract The explicit covariant forms for the three-boson-two-fermion and the one-boson-four-fermion scattering amplitudes at one-loop level in closed superstring theory are presented. The amplitudes are shown to have the correct factorization properties at kinematic poles, yielding as residues of these poles the well-known four-particle amplitudes. The analysis shows, for the first time at the one-loop level, a verification of the supersymmetry properties of the vertices.

On the Penetrator Nose Drag Measurements

In the current study, a rigid body penetrator nose shape that is optimized for minimum penetration drag [1] has been tested to determine the aerodynamic drag of such a penetrator in comparison to three additional nose shapes. Other nose shapes tested were an ogive cylinder, a 3/4 power series nose, and a standard cone. Fineness ratio for the studied nose geometries was chosen as l/d = 1 to maximize variation of the aerodynamic drag forces acting on the nose shapes. This paper discusses the measurements carried out in the University of Alabama’s 6″ × 6″ supersonic wind tunnel, using a 4 component force balance system. In separate experiments, drop tests were made in a viscous fluid to determine the skin-friction effects on these nose shapes. Supersonic wind-tunnel experiments were performed on each of the nose shapes at nine different Mach numbers ranging from 2 to 3.65. Results show that the nose shape optimized for penetration has the lowest drag coefficient of all the shapes at each Mach number within an uncertainty of 5.75%. In the viscous flow drop-test experiments, each nose shape was dropped from rest through water and then separately through viscous fluid (Nu-Calgon vacuum pump oil) under freefall conditions. Each drop was recorded via videotape, and the video was then analyzed to find the terminal velocity of each individual nose shape. Using classical dynamics equations, the weight, buoyant force, and experimentally determined terminal velocity are used to determine the drag force applied to each nose cone shape. Results indicate that while the optimal shape has a lesser drag coefficient than tangent ogive and the cone, the 3/4 power series shape is observed to have the least drag coefficient. In addition to the experiments performed, results on further investigation of the optimal nose shape for penetration are presented. The nose shape has been split into a series of line segments, and a program written has been utilized to search through numerical space for the combination of line segment slopes that produces the nose geometry with the lowest nose shape factor. The results of the numerical analysis in this study point to a different nose shape than the “optimal nose” shape tested in the current study.Copyright