Influence of meson widths on Yukawa-like potentials and lattice correlation functions

Journal Article · Sat Dec 15 04:00:00 EST 2007 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.76.065206· OSTI ID:21068004

Flambaum, V V ^[1]; Shuryak, E V ^[2]

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1. School of Physics, University of New South Wales, Sydney NSW 2052 (Australia)
2. Department of Physics and Astronomy, State University of New York, Stony Brook, New York 11794-3800 (United States)

Euclidean point-to-point propagators or wall-to-wall correlators related to exchange by an unstable particle ({sigma},{rho},{omega} mesons) are modified by the presence of particle width. In particular, the usual method of deriving particle masses from logarithmic derivatives needs to be modified. Similarly, Yukawa-like potentials of nuclear physics due to the exchange of those mesons are significantly modified since the coupling to the decay products is strong. For example, the large-distance asymptotic changes, {approx}exp(-M{sub min}r), where M{sub min} is the sum of the decay product masses (2m{sub {pi}},2m{sub e},2m{sub {nu}}). In the area M{sub min}r<1, the potential has a long-range tail of {approx}1/r{sup 3}. Similar effects appear due to the virtual decays in the electroweak sector of the standard model. The Z-{gamma} mixing via electron loop gives the parity violation potential with the range 1/2m{sub e}, i.e., the range of the weak interaction increases 10{sup 5} times.

• OSTI ID: 21068004
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 6 Vol. 76; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMPTOTIC SOLUTIONS
CORRELATION FUNCTIONS
COUPLING
ELECTRONS
EUCLIDEAN SPACE
LATTICE FIELD THEORY
OMEGA-782 MESONS
PARITY
PARTICLE DECAY
PARTICLE WIDTHS
POTENTIALS
PROPAGATOR
REST MASS
RHO-770 MESONS
STANDARD MODEL
WEAK INTERACTIONS