Chiral symmetry and π-π scattering in the Covariant Spectator Theory

Biernat, Elmar P.; Peña, M. T.; Ribeiro, J. E.; Stadler, Alfred; Gross, Franz

doi:10.1103/PhysRevD.90.096008

Title: Chiral symmetry and $π$ - $π$ scattering in the Covariant Spectator Theory

Journal Article · Fri Nov 14 00:00:00 EST 2014 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI:https://doi.org/10.1103/PhysRevD.90.096008· OSTI ID:1163888

Biernat, Elmar P. ^[1]; Peña, M. T. ^[1]; Ribeiro, J. E. ^[1]; Stadler, Alfred ^[2]; Gross, Franz ^[3]

Univ. de Lisboa, Lisboa (Portugal)
Univ. de Lisboa, Lisboa (Portugal); Univ. de Evora, Evora (Portugal)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

The π-π scattering amplitude calculated with a model for the quark-antiquark interaction in the framework of the Covariant Spectator Theory (CST) is shown to satisfy the Adler zero constraint imposed by chiral symmetry. The CST formalism is established in Minkowski space and our calculations are performed in momentum space. We prove that the axial-vector Ward-Takahashi identity is satisfied by our model. Then we show that, similarly to what happens within the Bethe-Salpeter formalism, application of the axial-vector Ward Takahashi identity to the CST π-π scattering amplitude allows us to sum the intermediate quark-quark interactions to all orders. Thus, the Adler self-consistency zero for π-π scattering in the chiral limit emerges as the result for this sum.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC05-06OR23177; PTDC/FIS/113940/2009; CFTP-FCT; 283286

OSTI ID:: 1163888

Report Number(s):: JLAB-THY-14-1933; arXiv:1408.1625; DOE/OR/23177-3151; PRVDAQ; ArticleNumber: 096008; TRN: US1600833

Journal Information:: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Vol. 90, Issue 9; ISSN 1550-7998

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 24 works

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Heavy and Heavy-Light Mesons in the Covariant Spectator Theory Stadler, Alfred; Leitão, Sofia; Peña, M. T. Few-Body Systems, Vol. 59, Issue 3 https://doi.org/10.1007/s00601-018-1355-1	journal	March 2018
Quark Mass Functions and Pion Structure in the Covariant Spectator Theory Biernat, Elmar P.; Gross, Franz; Peña, Teresa Few-Body Systems, Vol. 59, Issue 5 https://doi.org/10.1007/s00601-018-1401-z	journal	May 2018
Quark mass function from a one-gluon-exchange-type interaction in Minkowski space Biernat, Elmar P.; Gross, Franz; Peña, M. T. Physical Review D, Vol. 98, Issue 11 https://doi.org/10.1103/physrevd.98.114033	journal	December 2018
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Comparison of two Minkowski-space approaches to heavy quarkonia Leitão, Sofia; Li, Yang; Maris, Pieter The European Physical Journal C, Vol. 77, Issue 10 https://doi.org/10.1140/epjc/s10052-017-5248-0	journal	October 2017
Comparison of two Minkowski-space approaches to heavy quarkonia Leitão, Sofia; Li, Yang; Maris, Pieter arXiv https://doi.org/10.48550/arxiv.1705.06178	text	January 2017
Quark mass functions and pion structure in the Covariant Spectator Theory Biernat, E. P.; Gross, F.; Peña, M. T. arXiv https://doi.org/10.48550/arxiv.1802.00266	text	January 2018

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