The goldstone pion and the quark-antiquark pion. (I). Pion mass and strength function

Véronique Bernard; R. Brockmann; M. Schaden; W. Weise; E. Werner

doi:10.1016/0375-9474(84)90527-X

The goldstone pion and the quark-antiquark pion. (I). Pion mass and strength function

Véronique Bernard
, R. Brockmann
, M. Schaden
, W. Weise
, E. Werner

University of Regensburg

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

80 Scopus citations

Abstract

The connection between the pion as a Goldstone boson related to spontaneous chiral symmetry breaking and the quark-antiquark structure of the pion is investigated with a chiral effective lagrangian model. The finite pion mass is obtained with current quark masses m_u + m_d of about 20 MeV and satisfies a relation consistent with QCD sum rules. The resulting pionic qq̄ mode has properties which show a far-reaching analogy with low-lying collective modes in many-body systems. In particular, almost all of the pseudoscalar-isovector qq̄ strength is concentrated in this mode. The pion wave function has a strong admixture of many-quark-many-antiquark components, closely analogous to ground-state correlations in RPA descriptions of low-energy collective particle-hole states.

Original language	English
Pages (from-to)	349-372
Number of pages	24
Journal	Nuclear Physics, Section A
Volume	412
Issue number	3
DOIs	https://doi.org/10.1016/0375-9474(84)90527-X
State	Published - 16 Jan 1984
Externally published	Yes

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Cite this

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title = "The goldstone pion and the quark-antiquark pion. (I). Pion mass and strength function",

abstract = "The connection between the pion as a Goldstone boson related to spontaneous chiral symmetry breaking and the quark-antiquark structure of the pion is investigated with a chiral effective lagrangian model. The finite pion mass is obtained with current quark masses mu + md of about 20 MeV and satisfies a relation consistent with QCD sum rules. The resulting pionic q{\=q} mode has properties which show a far-reaching analogy with low-lying collective modes in many-body systems. In particular, almost all of the pseudoscalar-isovector q{\=q} strength is concentrated in this mode. The pion wave function has a strong admixture of many-quark-many-antiquark components, closely analogous to ground-state correlations in RPA descriptions of low-energy collective particle-hole states.",

author = "V{\'e}ronique Bernard and R. Brockmann and M. Schaden and W. Weise and E. Werner",

note = "Funding Information: {\textquoteright} Work supported in part by German Bundesministerium 33 REA/REB) and by Deutsche Forschungsgemeinschaft",

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doi = "10.1016/0375-9474(84)90527-X",

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T1 - The goldstone pion and the quark-antiquark pion. (I). Pion mass and strength function

AU - Bernard, Véronique

AU - Brockmann, R.

AU - Schaden, M.

AU - Weise, W.

AU - Werner, E.

N1 - Funding Information: ’ Work supported in part by German Bundesministerium 33 REA/REB) and by Deutsche Forschungsgemeinschaft

PY - 1984/1/16

Y1 - 1984/1/16

N2 - The connection between the pion as a Goldstone boson related to spontaneous chiral symmetry breaking and the quark-antiquark structure of the pion is investigated with a chiral effective lagrangian model. The finite pion mass is obtained with current quark masses mu + md of about 20 MeV and satisfies a relation consistent with QCD sum rules. The resulting pionic qq̄ mode has properties which show a far-reaching analogy with low-lying collective modes in many-body systems. In particular, almost all of the pseudoscalar-isovector qq̄ strength is concentrated in this mode. The pion wave function has a strong admixture of many-quark-many-antiquark components, closely analogous to ground-state correlations in RPA descriptions of low-energy collective particle-hole states.

AB - The connection between the pion as a Goldstone boson related to spontaneous chiral symmetry breaking and the quark-antiquark structure of the pion is investigated with a chiral effective lagrangian model. The finite pion mass is obtained with current quark masses mu + md of about 20 MeV and satisfies a relation consistent with QCD sum rules. The resulting pionic qq̄ mode has properties which show a far-reaching analogy with low-lying collective modes in many-body systems. In particular, almost all of the pseudoscalar-isovector qq̄ strength is concentrated in this mode. The pion wave function has a strong admixture of many-quark-many-antiquark components, closely analogous to ground-state correlations in RPA descriptions of low-energy collective particle-hole states.

UR - https://www.scopus.com/pages/publications/0000699739

U2 - 10.1016/0375-9474(84)90527-X

DO - 10.1016/0375-9474(84)90527-X

M3 - Article

AN - SCOPUS:0000699739

SN - 0375-9474

VL - 412

SP - 349

EP - 372

JO - Nuclear Physics, Section A

JF - Nuclear Physics, Section A

IS - 3

ER -

The goldstone pion and the quark-antiquark pion. (I). Pion mass and strength function

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