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Title: Analysis of the meson-meson data in the framework of the dispersion D-matrix method

Abstract

We describe the meson-meson data for the (IJ{sup PC}=00{sup ++}) wave at 280{<=}{radical}(s){<=}1900 MeV in two approaches: (i) the K-matrix approach and (ii) the dispersion relation D-matrix method. With a good description of low-energy data (at 280{<=}{radical}(s){<=}900 MeV) as well as the data of two-meson transition amplitudes and antiproton-proton annihilation into three pseudoscalar meson states (at 450{<=}{radical}(s){<=}1950 MeV) we have found the positions of the resonance poles: (i) for the {sigma} meson pole: M{sub {sigma}=}(390{+-}35)-i(235{+-}50) MeV; (ii) two poles for the f{sub 0}(980), on the second sheet (under the {pi}{pi} cut): M{sub I}=(1011{+-}5)-i(35{+-}5) MeV, and on the third sheet (under the {pi}{pi} and KK cuts), M{sub II}=(1035{+-}50)-i(460{+-}50) MeV; for the f{sub 0}(1370) meson, M=(1285{+-}30)-i(160{+-}20) MeV; for the f{sub 0}(1500) meson, M=(1488{+-}4)-i(53{+-}5) MeV; for the f{sub 0}(1790) meson, M=(1775{+-}25)- i(140{+-}15) MeV; and for the broad state f{sub 0}(1200-1600) M=(1540{+-}120)-i(550{+-}70) MeV. Our estimation of the scalar-isoscalar scattering length obtained under different parameterizations and assumptions about the quality of low-energy {pi}{pi} scattering data is a{sub 0}{sup 0}=(0.215{+-}0.040)m{sub {pi}}{sup -1}. We also discuss the idea according to which the {sigma} meson could be a remnant of the confinement singularity, 1/s{sup 2}, in a white channel.

Authors:
; ; ; ; ; ; ;  [1];  [2];  [2];  [3]
  1. Petersburg Nuclear Physics Institute, Gatchina, Russia and Helmholtz-Institut fuer Strahlen-und Kernphysik, Universitaet Bonn (Germany)
  2. (Russian Federation)
  3. (Hungary)
Publication Date:
OSTI Identifier:
21607829
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 84; Journal Issue: 7; Other Information: DOI: 10.1103/PhysRevD.84.076001; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANNIHILATION; ANTIPROTONS; DISPERSION RELATIONS; DISPERSIONS; F0-980 MESONS; GEV RANGE 01-10; K MATRIX; MEV RANGE 100-1000; PSEUDOSCALAR MESONS; RESONANCE; SCATTERING; SCATTERING LENGTHS; SINGULARITY; TRANSITION AMPLITUDES; AMPLITUDES; ANTIBARYONS; ANTIMATTER; ANTINUCLEI; ANTINUCLEONS; ANTIPARTICLES; BARYONS; BOSONS; DIMENSIONS; ELEMENTARY PARTICLES; ENERGY RANGE; FERMIONS; GEV RANGE; HADRONS; INTERACTIONS; LENGTH; MATRICES; MATTER; MESONS; MEV RANGE; NUCLEI; NUCLEONS; PARTICLE INTERACTIONS; PROTONS; SCALAR MESONS

Citation Formats

Anisovich, A. V., Nikonov, V. A., Sarantsev, A. V., Anisovich, V. V., Matveev, M. A., Vulfs, T. O., Nikonov, K. V., Nyiri, J., Petersburg Nuclear Physics Institute, Gatchina, Petersburg State University, Department of Physics, St. Petersburg, and Research Institute for Particle and Nuclear Physics, Budapest. Analysis of the meson-meson data in the framework of the dispersion D-matrix method. United States: N. p., 2011. Web. doi:10.1103/PHYSREVD.84.076001.
Anisovich, A. V., Nikonov, V. A., Sarantsev, A. V., Anisovich, V. V., Matveev, M. A., Vulfs, T. O., Nikonov, K. V., Nyiri, J., Petersburg Nuclear Physics Institute, Gatchina, Petersburg State University, Department of Physics, St. Petersburg, & Research Institute for Particle and Nuclear Physics, Budapest. Analysis of the meson-meson data in the framework of the dispersion D-matrix method. United States. doi:10.1103/PHYSREVD.84.076001.
Anisovich, A. V., Nikonov, V. A., Sarantsev, A. V., Anisovich, V. V., Matveev, M. A., Vulfs, T. O., Nikonov, K. V., Nyiri, J., Petersburg Nuclear Physics Institute, Gatchina, Petersburg State University, Department of Physics, St. Petersburg, and Research Institute for Particle and Nuclear Physics, Budapest. Sat . "Analysis of the meson-meson data in the framework of the dispersion D-matrix method". United States. doi:10.1103/PHYSREVD.84.076001.
@article{osti_21607829,
title = {Analysis of the meson-meson data in the framework of the dispersion D-matrix method},
author = {Anisovich, A. V. and Nikonov, V. A. and Sarantsev, A. V. and Anisovich, V. V. and Matveev, M. A. and Vulfs, T. O. and Nikonov, K. V. and Nyiri, J. and Petersburg Nuclear Physics Institute, Gatchina and Petersburg State University, Department of Physics, St. Petersburg and Research Institute for Particle and Nuclear Physics, Budapest},
abstractNote = {We describe the meson-meson data for the (IJ{sup PC}=00{sup ++}) wave at 280{<=}{radical}(s){<=}1900 MeV in two approaches: (i) the K-matrix approach and (ii) the dispersion relation D-matrix method. With a good description of low-energy data (at 280{<=}{radical}(s){<=}900 MeV) as well as the data of two-meson transition amplitudes and antiproton-proton annihilation into three pseudoscalar meson states (at 450{<=}{radical}(s){<=}1950 MeV) we have found the positions of the resonance poles: (i) for the {sigma} meson pole: M{sub {sigma}=}(390{+-}35)-i(235{+-}50) MeV; (ii) two poles for the f{sub 0}(980), on the second sheet (under the {pi}{pi} cut): M{sub I}=(1011{+-}5)-i(35{+-}5) MeV, and on the third sheet (under the {pi}{pi} and KK cuts), M{sub II}=(1035{+-}50)-i(460{+-}50) MeV; for the f{sub 0}(1370) meson, M=(1285{+-}30)-i(160{+-}20) MeV; for the f{sub 0}(1500) meson, M=(1488{+-}4)-i(53{+-}5) MeV; for the f{sub 0}(1790) meson, M=(1775{+-}25)- i(140{+-}15) MeV; and for the broad state f{sub 0}(1200-1600) M=(1540{+-}120)-i(550{+-}70) MeV. Our estimation of the scalar-isoscalar scattering length obtained under different parameterizations and assumptions about the quality of low-energy {pi}{pi} scattering data is a{sub 0}{sup 0}=(0.215{+-}0.040)m{sub {pi}}{sup -1}. We also discuss the idea according to which the {sigma} meson could be a remnant of the confinement singularity, 1/s{sup 2}, in a white channel.},
doi = {10.1103/PHYSREVD.84.076001},
journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 7,
volume = 84,
place = {United States},
year = {2011},
month = {10}
}