Survey of charge symmetry breaking operators for dd → απ0

A. Gårdestig; C. J. Horowitz; A. Nogga; A. C. Fonseca; C. Hanhart; G. A. Miller; J. A. Niskanen; U. Van Kolck

doi:10.1103/PhysRevC.69.044606

Survey of charge symmetry breaking operators for dd → απ⁰

A. Gårdestig
, C. J. Horowitz
, A. Nogga
, A. C. Fonseca
, C. Hanhart
, G. A. Miller
, J. A. Niskanen
, U. Van Kolck

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

51 Scopus citations

Abstract

The charge symmetry breaking amplitudes for the recently observed dd → απ⁰ reaction are investigated. Chiral perturbation theory is used to classify and identify the leading-order terms. Specific forms of the related one- and two-body tree-level diagrams are derived. As a first step toward a full calculation, a few tree-level two-body diagrams are evaluated at each considered order, using a simplified set of d and α wave functions and a plane-wave approximation for the initial dd state. The leading-order pion-exchange term is shown to be suppressed in this model because of poor overlap of the initial and final states. The higher-order one-body and short-range (heavy-meson-exchange) amplitudes provide better matching between the initial and final states and therefore contribute significantly and coherently to the cross section. The consequences this might have for a full calculation, with realistic wave functions and a more complete set of amplitudes, are discussed.

Original language	English (US)
Article number	044606
Pages (from-to)	044606-1-044606-16
Journal	Physical Review C - Nuclear Physics
Volume	69
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevC.69.044606
State	Published - Apr 2004
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1103/PhysRevC.69.044606

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@article{359120a9f68e47a1bb0c971df61f4ccb,

title = "Survey of charge symmetry breaking operators for dd → απ0",

abstract = "The charge symmetry breaking amplitudes for the recently observed dd → απ0 reaction are investigated. Chiral perturbation theory is used to classify and identify the leading-order terms. Specific forms of the related one- and two-body tree-level diagrams are derived. As a first step toward a full calculation, a few tree-level two-body diagrams are evaluated at each considered order, using a simplified set of d and α wave functions and a plane-wave approximation for the initial dd state. The leading-order pion-exchange term is shown to be suppressed in this model because of poor overlap of the initial and final states. The higher-order one-body and short-range (heavy-meson-exchange) amplitudes provide better matching between the initial and final states and therefore contribute significantly and coherently to the cross section. The consequences this might have for a full calculation, with realistic wave functions and a more complete set of amplitudes, are discussed.",

author = "A. G{\aa}rdestig and Horowitz, \{C. J.\} and A. Nogga and Fonseca, \{A. C.\} and C. Hanhart and Miller, \{G. A.\} and Niskanen, \{J. A.\} and \{Van Kolck\}, U.",

note = "Funding Information: We are grateful to Andrew Bacher, Edward Stephenson, and Allena Opper for encouragement, many useful discussions, and providing results from the IUCF and TRIUMF experiments prior to publication. We thank Ulf-G. Mei{\ss}ner for useful discussions. We are grateful to the National Institute for Nuclear Theory at the University of Washington for its hospitality and for arranging CSB workshops where part of this work was completed. U.v.K. is grateful to the Nuclear Theory Group at the University of Washington for its hospitality, and to RIKEN, Brookhaven National Laboratory and the U.S. Department of Energy [Grant No. DE-AC02-98CH10886] for providing the facilities essential for the completion of this work. G.A.M. acknowledges the ECT* (Trento), the INT (UW, Seattle), and the CSSM (Adelaide) for providing hospitality during the completion of this work. This work was supported in part by the Magnus Ehrnrooth Foundation (J.A.N.), Grant No. POCTI∕FNU∕37280∕2001 (A.C.F), the NSF Grant No. NSF-PHY-00-70368 (A.G.), the DOE Grant Nos. DE-FG02-87ER40365 (C.J.H.), DE-FG02-93ER40756 and DE-FG02-02ER41218 (A.G.), DE-FC02-01ER41187 and DE-FG03-00ER41132 (A.N.), DE-FG-02-97ER41014 (G.A.M.), and DE-FG03-01ER41196 (U.v.K.) and the Alfred P. Sloan Foundation (U.v.K).",

year = "2004",

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doi = "10.1103/PhysRevC.69.044606",

language = "English (US)",

volume = "69",

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issn = "0556-2813",

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T1 - Survey of charge symmetry breaking operators for dd → απ0

AU - Gårdestig, A.

AU - Horowitz, C. J.

AU - Nogga, A.

AU - Fonseca, A. C.

AU - Hanhart, C.

AU - Miller, G. A.

AU - Niskanen, J. A.

AU - Van Kolck, U.

N1 - Funding Information: We are grateful to Andrew Bacher, Edward Stephenson, and Allena Opper for encouragement, many useful discussions, and providing results from the IUCF and TRIUMF experiments prior to publication. We thank Ulf-G. Meißner for useful discussions. We are grateful to the National Institute for Nuclear Theory at the University of Washington for its hospitality and for arranging CSB workshops where part of this work was completed. U.v.K. is grateful to the Nuclear Theory Group at the University of Washington for its hospitality, and to RIKEN, Brookhaven National Laboratory and the U.S. Department of Energy [Grant No. DE-AC02-98CH10886] for providing the facilities essential for the completion of this work. G.A.M. acknowledges the ECT* (Trento), the INT (UW, Seattle), and the CSSM (Adelaide) for providing hospitality during the completion of this work. This work was supported in part by the Magnus Ehrnrooth Foundation (J.A.N.), Grant No. POCTI∕FNU∕37280∕2001 (A.C.F), the NSF Grant No. NSF-PHY-00-70368 (A.G.), the DOE Grant Nos. DE-FG02-87ER40365 (C.J.H.), DE-FG02-93ER40756 and DE-FG02-02ER41218 (A.G.), DE-FC02-01ER41187 and DE-FG03-00ER41132 (A.N.), DE-FG-02-97ER41014 (G.A.M.), and DE-FG03-01ER41196 (U.v.K.) and the Alfred P. Sloan Foundation (U.v.K).

PY - 2004/4

Y1 - 2004/4

N2 - The charge symmetry breaking amplitudes for the recently observed dd → απ0 reaction are investigated. Chiral perturbation theory is used to classify and identify the leading-order terms. Specific forms of the related one- and two-body tree-level diagrams are derived. As a first step toward a full calculation, a few tree-level two-body diagrams are evaluated at each considered order, using a simplified set of d and α wave functions and a plane-wave approximation for the initial dd state. The leading-order pion-exchange term is shown to be suppressed in this model because of poor overlap of the initial and final states. The higher-order one-body and short-range (heavy-meson-exchange) amplitudes provide better matching between the initial and final states and therefore contribute significantly and coherently to the cross section. The consequences this might have for a full calculation, with realistic wave functions and a more complete set of amplitudes, are discussed.

AB - The charge symmetry breaking amplitudes for the recently observed dd → απ0 reaction are investigated. Chiral perturbation theory is used to classify and identify the leading-order terms. Specific forms of the related one- and two-body tree-level diagrams are derived. As a first step toward a full calculation, a few tree-level two-body diagrams are evaluated at each considered order, using a simplified set of d and α wave functions and a plane-wave approximation for the initial dd state. The leading-order pion-exchange term is shown to be suppressed in this model because of poor overlap of the initial and final states. The higher-order one-body and short-range (heavy-meson-exchange) amplitudes provide better matching between the initial and final states and therefore contribute significantly and coherently to the cross section. The consequences this might have for a full calculation, with realistic wave functions and a more complete set of amplitudes, are discussed.

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UR - https://www.scopus.com/pages/publications/84862388199#tab=citedBy

U2 - 10.1103/PhysRevC.69.044606

DO - 10.1103/PhysRevC.69.044606

M3 - Article

AN - SCOPUS:84862388199

SN - 0556-2813

VL - 69

SP - 044606-1-044606-16

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

IS - 4

M1 - 044606

ER -

Survey of charge symmetry breaking operators for dd → απ⁰

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