Effective field theory of emergent symmetry breaking in deformed atomic nuclei

Papenbrock, Thomas F.; Weidenmüller, H. A.

doi:10.1088/0954-3899/42/10/105103

Title: Effective field theory of emergent symmetry breaking in deformed atomic nuclei

Abstract

Spontaneous symmetry breaking in non-relativistic quantum systems has previously been addressed in the framework of effective field theory. Low-lying excitations are constructed from Nambu–Goldstone modes using symmetry arguments only. In this study, we extend that approach to finite systems. The approach is very general. To be specific, however, we consider atomic nuclei with intrinsically deformed ground states. The emergent symmetry breaking in such systems requires the introduction of additional degrees of freedom on top of the Nambu–Goldstone modes. Symmetry arguments suffice to construct the low-lying states of the system. Lastly, in deformed nuclei these are vibrational modes each of which serves as band head of a rotational band.

Authors:

Papenbrock, Thomas F. ^[1]; Weidenmüller, H. A. ^[2]

Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Max Planck Inst. fur Kernphysik, Heidelberg (Germany)

Publication Date:: Thu Sep 03 00:00:00 EDT 2015

Research Org.:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

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

OSTI Identifier:: 1302919

Alternate Identifier(s):: OSTI ID: 1238901

Grant/Contract Number:: AC05-00OR22725; FG02-96ER40963

Resource Type:: Accepted Manuscript

Journal Name:: Journal of Physics. G, Nuclear and Particle Physics

Additional Journal Information:: Journal Volume: 42; Journal Issue: 10; Journal ID: ISSN 0954-3899

Publisher:: IOP Publishing

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; deformed nuclei; effective field theory; emergent symmetry breaking

Citation Formats


                    Papenbrock, Thomas F., and Weidenmüller, H. A. Effective field theory of emergent symmetry breaking in deformed atomic nuclei.  United States: N. p., 2015. 
Web.  doi:10.1088/0954-3899/42/10/105103.

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                    Papenbrock, Thomas F., & Weidenmüller, H. A. Effective field theory of emergent symmetry breaking in deformed atomic nuclei.  United States.  https://doi.org/10.1088/0954-3899/42/10/105103

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                    Papenbrock, Thomas F., and Weidenmüller, H. A. Thu .  
"Effective field theory of emergent symmetry breaking in deformed atomic nuclei".  United States.  https://doi.org/10.1088/0954-3899/42/10/105103.  https://www.osti.gov/servlets/purl/1302919.

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@article{osti_1302919,

  title        = {Effective field theory of emergent symmetry breaking in deformed atomic nuclei},

  author       = {Papenbrock, Thomas F. and Weidenmüller, H. A.},

  abstractNote = {Spontaneous symmetry breaking in non-relativistic quantum systems has previously been addressed in the framework of effective field theory. Low-lying excitations are constructed from Nambu–Goldstone modes using symmetry arguments only. In this study, we extend that approach to finite systems. The approach is very general. To be specific, however, we consider atomic nuclei with intrinsically deformed ground states. The emergent symmetry breaking in such systems requires the introduction of additional degrees of freedom on top of the Nambu–Goldstone modes. Symmetry arguments suffice to construct the low-lying states of the system. Lastly, in deformed nuclei these are vibrational modes each of which serves as band head of a rotational band.},

  doi          = {10.1088/0954-3899/42/10/105103},

  journal      = {Journal of Physics. G, Nuclear and Particle Physics},

  number       = 10,

  volume       = 42,

  place        = {United States},

  year         = {Thu Sep 03 00:00:00 EDT 2015},

  month        = {Thu Sep 03 00:00:00 EDT 2015}

}

Copy to clipboard

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Works referenced in this record:

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Rotational constants of multi-phonon bands in an effective theory for deformed nuclei
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Zhang, Jialin; Papenbrock, T.
Physical Review C, Vol. 87, Issue 3
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Effective theory for the nonrigid rotor in an electromagnetic field: Toward accurate and precise calculations of $E 2$ transitions in deformed nuclei
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Rotational states in deformed nuclei: An analytic approach
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Works referencing / citing this record:

Effective field theory for vibrations in odd-mass nuclei
journal, November 2016

Coello Pérez, E. A.; Papenbrock, T.
Physical Review C, Vol. 94, Issue 5
DOI: 10.1103/physrevc.94.054316

Effective field theory for vibrations in odd-mass nuclei
text, January 2016

Pérez, E. A. Coello; Papenbrock, T.
arXiv
DOI: 10.48550/arxiv.1608.02802

Effective field theory for vibrations in odd-mass nuclei
journal, November 2016

Coello Pérez, E. A.; Papenbrock, T.
Physical Review C, Vol. 94, Issue 5
DOI: 10.1103/physrevc.94.054316

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Title: Effective field theory of emergent symmetry breaking in deformed atomic nuclei

Abstract

Citation Formats

Nonlinear Realizations of Chiral Symmetry journal, February 1968

Structure of Phenomenological Lagrangians. I journal, January 1969

Structure of Phenomenological Lagrangians. II journal, January 1969

The Quantum Theory of Fields, Volume 2: Modern Applications book, May 2013

Nonrelativistic effective Lagrangians journal, March 1994

Spontaneous Symmetry Breaking and Nambu–Goldstone Bosons in Quantum Many-Body Systems journal, April 2010

Effective Field Theory Approach to Ferromagnets and Antiferromagnets in Crystalline Solids journal, March 1999

Pions versus magnons: from QCD to antiferromagnets and quantum Hall ferromagnets journal, May 2004

Effective field theory for finite systems with spontaneously broken symmetry journal, January 2014

Rotational constants of multi-phonon bands in an effective theory for deformed nuclei journal, March 2013

Effective theory for the nonrigid rotor in an electromagnetic field: Toward accurate and precise calculations of E 2 transitions in deformed nuclei journal, July 2015

Emergence of rotational bands in ab initio no-core configuration interaction calculations of light nuclei journal, February 2013

Collective Modes in Light Nuclei from First Principles journal, December 2013

Microscopic origin of nuclear deformations journal, July 1994

Intrinsic vs Laboratory Frame Description of the Deformed Nucleus 48 Cr journal, September 1995

Effective theory for deformed nuclei journal, February 2011

Quantum Theory of Angular Momentum book, October 1988

Energy levels of light quarks confined to a box journal, April 1987

Spontaneously broken symmetries: Effective lagrangians at finite volume journal, October 1988

Finite size and temperature effects in the AF Heisenberg model journal, March 1993

More effective field theory for non-relativistic scattering journal, June 1997

Two-nucleon systems from effective field theory journal, November 1998

Quantizing constrained systems journal, October 1997

On the Spectrum of 168 Er journal, January 1982

Magnetic dipole excitations in nuclei: Elementary modes of nucleonic motion journal, September 2010

Rotational states in deformed nuclei: An analytic approach journal, July 2011

Identification of all intrinsic excitations below 2 MeV in 168 Er journal, April 1981

Identification of all intrinsic excitations below 2 MeV in 168 Er journal, June 1981

Complete spectroscopy of the 162Dy nucleus journal, January 2006

Intrinsic structures and associated rotational bands in deformed even-even nuclei with 60 ≤ Z ≤ 76 and 90 ≤ N ≤ 114 journal, January 1991

Intrinsic structures and associated rotational bands in deformed even-even nuclei of the actinide region journal, July 1992

Redefinition of position variables and the reduction of higher‐order Lagrangians journal, January 1991

Effective Lagrangians with higher derivatives and equations of motion journal, June 1994

Rotor spectra, berry phases, and monopole fields: From antiferromagnets to QCD journal, October 2008

Effective field theory for vibrations in odd-mass nuclei journal, November 2016

Effective field theory for vibrations in odd-mass nuclei text, January 2016

Effective field theory for vibrations in odd-mass nuclei journal, November 2016

Nonlinear Realizations of Chiral Symmetry
journal, February 1968

Structure of Phenomenological Lagrangians. I
journal, January 1969

Structure of Phenomenological Lagrangians. II
journal, January 1969

The Quantum Theory of Fields, Volume 2: Modern Applications
book, May 2013

Nonrelativistic effective Lagrangians
journal, March 1994

Spontaneous Symmetry Breaking and Nambu–Goldstone Bosons in Quantum Many-Body Systems
journal, April 2010

Effective Field Theory Approach to Ferromagnets and Antiferromagnets in Crystalline Solids
journal, March 1999

Pions versus magnons: from QCD to antiferromagnets and quantum Hall ferromagnets
journal, May 2004

Effective field theory for finite systems with spontaneously broken symmetry
journal, January 2014

Rotational constants of multi-phonon bands in an effective theory for deformed nuclei
journal, March 2013

Effective theory for the nonrigid rotor in an electromagnetic field: Toward accurate and precise calculations of $E 2$ transitions in deformed nuclei
journal, July 2015

Emergence of rotational bands in ab initio no-core configuration interaction calculations of light nuclei
journal, February 2013

Collective Modes in Light Nuclei from First Principles
journal, December 2013

Microscopic origin of nuclear deformations
journal, July 1994

Intrinsic vs Laboratory Frame Description of the Deformed Nucleus $^{48}$ Cr
journal, September 1995

Effective theory for deformed nuclei
journal, February 2011

Quantum Theory of Angular Momentum
book, October 1988

Energy levels of light quarks confined to a box
journal, April 1987

Spontaneously broken symmetries: Effective lagrangians at finite volume
journal, October 1988

Finite size and temperature effects in the AF Heisenberg model
journal, March 1993

More effective field theory for non-relativistic scattering
journal, June 1997

Two-nucleon systems from effective field theory
journal, November 1998

Quantizing constrained systems
journal, October 1997

On the Spectrum of ¹⁶⁸ Er
journal, January 1982

Magnetic dipole excitations in nuclei: Elementary modes of nucleonic motion
journal, September 2010

Rotational states in deformed nuclei: An analytic approach
journal, July 2011

Identification of all intrinsic excitations below 2 MeV in ¹⁶⁸ Er
journal, April 1981

Identification of all intrinsic excitations below 2 MeV in ¹⁶⁸ Er
journal, June 1981

Complete spectroscopy of the 162Dy nucleus
journal, January 2006

Intrinsic structures and associated rotational bands in deformed even-even nuclei with 60 ≤ Z ≤ 76 and 90 ≤ N ≤ 114
journal, January 1991

Intrinsic structures and associated rotational bands in deformed even-even nuclei of the actinide region
journal, July 1992

Redefinition of position variables and the reduction of higher‐order Lagrangians
journal, January 1991

Effective Lagrangians with higher derivatives and equations of motion
journal, June 1994

Rotor spectra, berry phases, and monopole fields: From antiferromagnets to QCD
journal, October 2008

Effective field theory for vibrations in odd-mass nuclei
journal, November 2016

Effective field theory for vibrations in odd-mass nuclei
text, January 2016

Effective field theory for vibrations in odd-mass nuclei
journal, November 2016