Scattering of vector mesons off nucleons

M. F M Lutz, G. Wolf, B. Friman

Research output: Contribution to journalArticle

144 Citations (Scopus)

Abstract

We construct a relativistic and unitary approach to 'high' energy pion- and photon-nucleon reactions taking the πN, πΔ, ρN, ωN, ηN, K Λ, K ∑ final states into account. Our scheme dynamically generates the s- and d-wave nucleon resonances N (1535), N(1650) and N(1520) and isobar resonances Δ(1620) and Δ (1700) in terms of quasi-local interaction vertices. The description of photon-induced processes is based on a generalized vector-meson dominance assumption which directly relates the electromagnetic quasi-local four-point interaction vertices to the corresponding vertices involving the ρ and ω fields. We obtain a satisfactory description of the elastic and inelastic pion- and photon-nucleon scattering data in the channels considered. The resulting s-wave ρ- and ω-nucleon scattering amplitudes are presented. Using these amplitudes we compute the leading density modification of the ρ and ω energy distributions in nuclear matter. We find a repulsive energy shift for the ω meson at small nuclear density but predict considerable strength in resonance-hole like ω-meson modes. Compared to previous calculations our result for the ρ-meson spectral function shows a significantly smaller in-medium effect. This reflects a fairly small coupling strength of the N (1520) resonance to the ρN channel.

Original languageEnglish
Pages (from-to)431-496
Number of pages66
JournalNuclear Physics A
Volume706
Issue number3-4
DOIs
Publication statusPublished - Aug 12 2002

Fingerprint

vector mesons
nucleons
apexes
mesons
scattering
photons
pions
isobars
scattering amplitude
sands
energy distribution
interactions
electromagnetism
energy
shift

Keywords

  • Meson-nucleon scattering
  • Vector mesons in matter

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Scattering of vector mesons off nucleons. / Lutz, M. F M; Wolf, G.; Friman, B.

In: Nuclear Physics A, Vol. 706, No. 3-4, 12.08.2002, p. 431-496.

Research output: Contribution to journalArticle

Lutz, M. F M ; Wolf, G. ; Friman, B. / Scattering of vector mesons off nucleons. In: Nuclear Physics A. 2002 ; Vol. 706, No. 3-4. pp. 431-496.
@article{e03d11d1b9b34183b13804a7ad477a93,
title = "Scattering of vector mesons off nucleons",
abstract = "We construct a relativistic and unitary approach to 'high' energy pion- and photon-nucleon reactions taking the πN, πΔ, ρN, ωN, ηN, K Λ, K ∑ final states into account. Our scheme dynamically generates the s- and d-wave nucleon resonances N (1535), N(1650) and N(1520) and isobar resonances Δ(1620) and Δ (1700) in terms of quasi-local interaction vertices. The description of photon-induced processes is based on a generalized vector-meson dominance assumption which directly relates the electromagnetic quasi-local four-point interaction vertices to the corresponding vertices involving the ρ and ω fields. We obtain a satisfactory description of the elastic and inelastic pion- and photon-nucleon scattering data in the channels considered. The resulting s-wave ρ- and ω-nucleon scattering amplitudes are presented. Using these amplitudes we compute the leading density modification of the ρ and ω energy distributions in nuclear matter. We find a repulsive energy shift for the ω meson at small nuclear density but predict considerable strength in resonance-hole like ω-meson modes. Compared to previous calculations our result for the ρ-meson spectral function shows a significantly smaller in-medium effect. This reflects a fairly small coupling strength of the N (1520) resonance to the ρN channel.",
keywords = "Meson-nucleon scattering, Vector mesons in matter",
author = "Lutz, {M. F M} and G. Wolf and B. Friman",
year = "2002",
month = "8",
day = "12",
doi = "10.1016/S0375-9474(02)00868-0",
language = "English",
volume = "706",
pages = "431--496",
journal = "Nuclear Physics A",
issn = "0375-9474",
publisher = "Elsevier",
number = "3-4",

}

TY - JOUR

T1 - Scattering of vector mesons off nucleons

AU - Lutz, M. F M

AU - Wolf, G.

AU - Friman, B.

PY - 2002/8/12

Y1 - 2002/8/12

N2 - We construct a relativistic and unitary approach to 'high' energy pion- and photon-nucleon reactions taking the πN, πΔ, ρN, ωN, ηN, K Λ, K ∑ final states into account. Our scheme dynamically generates the s- and d-wave nucleon resonances N (1535), N(1650) and N(1520) and isobar resonances Δ(1620) and Δ (1700) in terms of quasi-local interaction vertices. The description of photon-induced processes is based on a generalized vector-meson dominance assumption which directly relates the electromagnetic quasi-local four-point interaction vertices to the corresponding vertices involving the ρ and ω fields. We obtain a satisfactory description of the elastic and inelastic pion- and photon-nucleon scattering data in the channels considered. The resulting s-wave ρ- and ω-nucleon scattering amplitudes are presented. Using these amplitudes we compute the leading density modification of the ρ and ω energy distributions in nuclear matter. We find a repulsive energy shift for the ω meson at small nuclear density but predict considerable strength in resonance-hole like ω-meson modes. Compared to previous calculations our result for the ρ-meson spectral function shows a significantly smaller in-medium effect. This reflects a fairly small coupling strength of the N (1520) resonance to the ρN channel.

AB - We construct a relativistic and unitary approach to 'high' energy pion- and photon-nucleon reactions taking the πN, πΔ, ρN, ωN, ηN, K Λ, K ∑ final states into account. Our scheme dynamically generates the s- and d-wave nucleon resonances N (1535), N(1650) and N(1520) and isobar resonances Δ(1620) and Δ (1700) in terms of quasi-local interaction vertices. The description of photon-induced processes is based on a generalized vector-meson dominance assumption which directly relates the electromagnetic quasi-local four-point interaction vertices to the corresponding vertices involving the ρ and ω fields. We obtain a satisfactory description of the elastic and inelastic pion- and photon-nucleon scattering data in the channels considered. The resulting s-wave ρ- and ω-nucleon scattering amplitudes are presented. Using these amplitudes we compute the leading density modification of the ρ and ω energy distributions in nuclear matter. We find a repulsive energy shift for the ω meson at small nuclear density but predict considerable strength in resonance-hole like ω-meson modes. Compared to previous calculations our result for the ρ-meson spectral function shows a significantly smaller in-medium effect. This reflects a fairly small coupling strength of the N (1520) resonance to the ρN channel.

KW - Meson-nucleon scattering

KW - Vector mesons in matter

UR - http://www.scopus.com/inward/record.url?scp=0037068009&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037068009&partnerID=8YFLogxK

U2 - 10.1016/S0375-9474(02)00868-0

DO - 10.1016/S0375-9474(02)00868-0

M3 - Article

VL - 706

SP - 431

EP - 496

JO - Nuclear Physics A

JF - Nuclear Physics A

SN - 0375-9474

IS - 3-4

ER -