Experimental, theoretical, and mathematical elements for a possible Lie-admissible generalization of the notion of particle under strong interactions

Conference · Mon Jun 01 04:00:00 EDT 1981 · Hadronic J.; (United States)

OSTI ID:6938160

Santilli, R M

A primary objective of the research is the achievement of clear experimental knowledge on the intrinsic characteristics of particles (such as magnetic moment, spin, space parity, etc.) under strong interactions. These characteristics, when known, have been measured a number of times, but all times for particles under long range electromagnetic interactions (e.g., for bubble chamber techniques). The same characteristics are then generally assumed to persist under the different physical conditions of the strong interactions, while no direct or otherwise final measurement under strong interactions exists at this time. The advocated physical knowledge is clearly important for controlled fusion, as well as for a serious study of the foundations of strong interactions. The paper initiates the study by considering the following alternatives. A: the electromagnetic characteristics of particles persist in the transition to the strong; or B: variations in these characteristics are physically conceivable, mathematically treatable, and experimentally detectable. The need to conduct additional experiments, and achieve a final resolution of the issue, is stressed throughout the paper. In the hope of contributing toward this future goal, the paper then reviews the quantitative treatment of possible deviations via the Lie-admissible generalization of Lie's theory, with particular reference to the Lie-admissible generalizations of Lie group, Lie algebras, and enveloping associative algebras. A generalized notion of extended particle under nonlocal nonpotential strong interactions emerge from these studies. The theory is applied to the re-elaboration of the data on the spinor symmetry via neutron interferometers. It is shown that the data are indeed consistent with a breaking of the SU(2)-spin symmetry due to nonlocal nonpotential forces. A number of experiments for the future resolution of the issue are indicated.

• Research Organization: Inst. for Basic Research, Cambridge, MA
• DOE Contract Number: AC02-80ER10651
• OSTI ID: 6938160
• Report Number(s): CONF-8008162-
• Conference Information: Journal Name: Hadronic J.; (United States) Journal Volume: 4:4
• Country of Publication: United States
• Language: English

Related Subjects

645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
ALGEBRAIC FIELD THEORY
ANGULAR MOMENTUM
AXIOMATIC FIELD THEORY
BASIC INTERACTIONS
ELECTROMAGNETIC INTERACTIONS
ELEMENTARY PARTICLES
FIELD THEORIES
INTERACTIONS
INVARIANCE PRINCIPLES
LIE GROUPS
MAGNETIC MOMENTS
MATHEMATICS
NONLOCAL POTENTIAL
PARITY
PARTICLE PROPERTIES
POTENTIALS
QUANTUM FIELD THEORY
SPIN
STRONG INTERACTIONS
SU GROUPS
SU-2 GROUPS
SYMMETRY BREAKING
SYMMETRY GROUPS