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

A. V. Anisovich; V. A. Nikonov; A. V. Sarantsev; V. V. Anisovich; M. A. Matveev; T. O. Vulfs; K. V. Nikonov; J. Nyiri

doi:10.1103/PhysRevD.84.076001

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

A. V. Anisovich
, V. A. Nikonov
, A. V. Sarantsev
, V. V. Anisovich
, M. A. Matveev
, T. O. Vulfs
, K. V. Nikonov
, J. Nyiri

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

We describe the meson-meson data for the (IJPC=00⁺⁺) wave at 280≤√s≤1900MeV 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≤√s≤900MeV) as well as the data of two-meson transition amplitudes and antiproton-proton annihilation into three pseudoscalar meson states (at 450≤√s≤1950MeV) we have found the positions of the resonance poles: (i) for the σ meson pole: M_σ= (390±35)-i(235±50)MeV; (ii) two poles for the f₀(980), on the second sheet (under the ππ cut): M_I=(1011±5)- i(35±5)MeV, and on the third sheet (under the ππ and KK̄ cuts), M_II=(1035±50)-i(460±50)MeV; for the f ₀(1370) meson, M=(1285±30)-i(160±20)MeV; for the f ₀(1500) meson, M=(1488±4)-i(53±5)MeV; for the f ₀(1790) meson, M=(1775±25)-i(140±15)MeV; and for the broad state f₀(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 ππ scattering data is a00=(0.215±0.040)mπ-1. We also discuss the idea according to which the σ meson could be a remnant of the confinement singularity, 1/s2, in a white channel.

Original language	English
Article number	076001
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	84
Issue number	7
DOIs	https://doi.org/10.1103/PhysRevD.84.076001
State	Published - 5 Oct 2011
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics
Physics and Astronomy (miscellaneous)

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10.1103/PhysRevD.84.076001

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@article{dd58a878ae0043b691f59dcc2f469b18,

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 (IJPC=00++) wave at 280≤√s≤1900MeV 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≤√s≤900MeV) as well as the data of two-meson transition amplitudes and antiproton-proton annihilation into three pseudoscalar meson states (at 450≤√s≤1950MeV) we have found the positions of the resonance poles: (i) for the σ meson pole: Mσ= (390±35)-i(235±50)MeV; (ii) two poles for the f0(980), on the second sheet (under the ππ cut): MI=(1011±5)- i(35±5)MeV, and on the third sheet (under the ππ and K{\=K} cuts), MII=(1035±50)-i(460±50)MeV; for the f 0(1370) meson, M=(1285±30)-i(160±20)MeV; for the f 0(1500) meson, M=(1488±4)-i(53±5)MeV; for the f 0(1790) meson, M=(1775±25)-i(140±15)MeV; and for the broad state f0(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 ππ scattering data is a00=(0.215±0.040)mπ-1. We also discuss the idea according to which the σ meson could be a remnant of the confinement singularity, 1/s2, in a white channel.",

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 J. Nyiri",

year = "2011",

month = oct,

day = "5",

doi = "10.1103/PhysRevD.84.076001",

language = "English",

volume = "84",

journal = "Physical Review D - Particles, Fields, Gravitation and Cosmology",

issn = "1550-7998",

publisher = "American Physical Society",

number = "7",

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TY - JOUR

T1 - Analysis of the meson-meson data in the framework of the dispersion D-matrix method

AU - Anisovich, A. V.

AU - Nikonov, V. A.

AU - Sarantsev, A. V.

AU - Anisovich, V. V.

AU - Matveev, M. A.

AU - Vulfs, T. O.

AU - Nikonov, K. V.

AU - Nyiri, J.

PY - 2011/10/5

Y1 - 2011/10/5

N2 - We describe the meson-meson data for the (IJPC=00++) wave at 280≤√s≤1900MeV 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≤√s≤900MeV) as well as the data of two-meson transition amplitudes and antiproton-proton annihilation into three pseudoscalar meson states (at 450≤√s≤1950MeV) we have found the positions of the resonance poles: (i) for the σ meson pole: Mσ= (390±35)-i(235±50)MeV; (ii) two poles for the f0(980), on the second sheet (under the ππ cut): MI=(1011±5)- i(35±5)MeV, and on the third sheet (under the ππ and KK̄ cuts), MII=(1035±50)-i(460±50)MeV; for the f 0(1370) meson, M=(1285±30)-i(160±20)MeV; for the f 0(1500) meson, M=(1488±4)-i(53±5)MeV; for the f 0(1790) meson, M=(1775±25)-i(140±15)MeV; and for the broad state f0(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 ππ scattering data is a00=(0.215±0.040)mπ-1. We also discuss the idea according to which the σ meson could be a remnant of the confinement singularity, 1/s2, in a white channel.

AB - We describe the meson-meson data for the (IJPC=00++) wave at 280≤√s≤1900MeV 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≤√s≤900MeV) as well as the data of two-meson transition amplitudes and antiproton-proton annihilation into three pseudoscalar meson states (at 450≤√s≤1950MeV) we have found the positions of the resonance poles: (i) for the σ meson pole: Mσ= (390±35)-i(235±50)MeV; (ii) two poles for the f0(980), on the second sheet (under the ππ cut): MI=(1011±5)- i(35±5)MeV, and on the third sheet (under the ππ and KK̄ cuts), MII=(1035±50)-i(460±50)MeV; for the f 0(1370) meson, M=(1285±30)-i(160±20)MeV; for the f 0(1500) meson, M=(1488±4)-i(53±5)MeV; for the f 0(1790) meson, M=(1775±25)-i(140±15)MeV; and for the broad state f0(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 ππ scattering data is a00=(0.215±0.040)mπ-1. We also discuss the idea according to which the σ meson could be a remnant of the confinement singularity, 1/s2, in a white channel.

UR - https://www.scopus.com/pages/publications/80555132002

U2 - 10.1103/PhysRevD.84.076001

DO - 10.1103/PhysRevD.84.076001

M3 - Article

AN - SCOPUS:80555132002

SN - 1550-7998

VL - 84

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

IS - 7

M1 - 076001

ER -

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

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