[rho], [omega], and [phi] meson-nucleon scattering lengths from QCD sum rules

Journal Article · Wed Mar 01 04:00:00 EST 1995 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.51.1488· OSTI ID:6474823

Koike, Y ^[1]

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1. National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824 (United States)

The QCD sum rule method is applied to derive a formula for the [rho], [omega], and [phi] meson-nucleon spin-isospin--averaged scattering lengths [ital a][sub [rho],[omega],[phi]]. We found that the crucial matrix elements are [l angle][ital [bar q]][gamma][sub [mu]][ital D][sub [nu]][ital q][r angle][sub [ital N]] ([ital q]=[ital ud]) (twist-2 nucleon matrix element) for [ital a][sub [rho],[omega]] and [ital m][sub [ital s]][l angle][ital [bar s]s][r angle][sub [ital N]] for [ital a][sub [phi]], and obtained [ital a][sub [rho]]=0.14[plus minus]0.07 fm, [ital a][sub [omega]]=0.11[plus minus]0.06 fm, and [ital a][sub [phi]]=0.035[plus minus]0.020 fm. These small numbers originate from a common factor 1/([ital m][sub [ital N]]+[ital m][sub [rho],[omega],[phi]]). Our result suggests a slight increase ([lt]60 MeV for [rho] and [omega], and [lt]15 MeV for [phi]) of the effective mass of these vector mesons in nuclear matter (in the [ital dilute] nucleon-gas approximation). The origin of the discrepancy with Hatsuda-Lee was clarified.

• OSTI ID: 6474823
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 51:3; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

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662230 -- Quantum Chromodynamics-- (1992-)
662340* -- Hadron Interactions-- (1992-)
663300 -- Nuclear Reactions & Scattering
General-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BOSONS
DIMENSIONS
ELEMENTARY PARTICLES
EQUATIONS
FIELD THEORIES
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
LENGTH
MATRIX ELEMENTS
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
MESONS
PARTICLE INTERACTIONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
SCATTERING LENGTHS
SUM RULES
VECTOR MESONS