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

Effective field theory of emergent symmetry breaking in deformed atomic nuclei

Journal Article · Thu Sep 03 00:00:00 EDT 2015 · Journal of Physics. G, Nuclear and Particle Physics

DOI:https://doi.org/10.1088/0954-3899/42/10/105103· OSTI ID:1302919

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)

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.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

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

OSTI ID:: 1302919

Alternate ID(s):: OSTI ID: 1238901
OSTI ID: 22539522

Journal Information:: Journal of Physics. G, Nuclear and Particle Physics, Journal Name: Journal of Physics. G, Nuclear and Particle Physics Journal Issue: 10 Vol. 42; ISSN 0954-3899

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

References (35)

Finite size and temperature effects in the AF Heisenberg model Hasenfratz, P.; Niedermayer, F. Zeitschrift f�r Physik B Condensed Matter, Vol. 92, Issue 1 https://doi.org/10.1007/BF01309171	journal	March 1993
Intrinsic structures and associated rotational bands in deformed even-even nuclei with 60 ≤ Z ≤ 76 and 90 ≤ N ≤ 114 Sood, P. C.; Headly, D. M.; Sheline, R. K. Atomic Data and Nuclear Data Tables, Vol. 47, Issue 1 https://doi.org/10.1016/0092-640X(91)90019-Z	journal	January 1991
Intrinsic structures and associated rotational bands in deformed even-even nuclei of the actinide region Sood, P. C.; Headly, D. M.; Sheline, R. K. Atomic Data and Nuclear Data Tables, Vol. 51, Issue 2 https://doi.org/10.1016/0092-640X(92)90003-Z	journal	July 1992
Energy levels of light quarks confined to a box Leutwyler, H. Physics Letters B, Vol. 189, Issue 1-2 https://doi.org/10.1016/0370-2693(87)91296-2	journal	April 1987
Microscopic origin of nuclear deformations Nazarewicz, W. Nuclear Physics A, Vol. 574, Issue 1-2 https://doi.org/10.1016/0375-9474(94)90037-X	journal	July 1994
Spontaneously broken symmetries: Effective lagrangians at finite volume Gasser, J.; Leutwyler, H. Nuclear Physics B, Vol. 307, Issue 4 https://doi.org/10.1016/0550-3213(88)90107-1	journal	October 1988
More effective field theory for non-relativistic scattering Kaplan, David B. Nuclear Physics B, Vol. 494, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)00178-8	journal	June 1997
Two-nucleon systems from effective field theory Kaplan, David B.; Savage, Martin J.; Wise, Mark B. Nuclear Physics B, Vol. 534, Issue 1-2 https://doi.org/10.1016/S0550-3213(98)00440-4	journal	November 1998
Complete spectroscopy of the 162Dy nucleus Aprahamian, A.; Wu, X.; Lesher, S. R. Nuclear Physics A, Vol. 764 https://doi.org/10.1016/j.nuclphysa.2005.09.020	journal	January 2006
Effective theory for deformed nuclei Papenbrock, T. Nuclear Physics A, Vol. 852, Issue 1 https://doi.org/10.1016/j.nuclphysa.2010.12.013	journal	February 2011
Pions versus magnons: from QCD to antiferromagnets and quantum Hall ferromagnets Bär, O.; Imboden, M.; Wiese, U. -J. Nuclear Physics B, Vol. 686, Issue 3 https://doi.org/10.1016/j.nuclphysb.2003.12.041	journal	May 2004
Emergence of rotational bands in ab initio no-core configuration interaction calculations of light nuclei Caprio, M. A.; Maris, P.; Vary, J. P. Physics Letters B, Vol. 719, Issue 1-3 https://doi.org/10.1016/j.physletb.2012.12.064	journal	February 2013
The Interacting Boson Model Iachello, F.; Arima, A. Cambridge Monographs on Mathematical Physics https://doi.org/10.1017/CBO9780511895517	book	November 2011
The Quantum Theory of Fields, Volume 2: Modern Applications Weinberg, Steven https://doi.org/10.1017/CBO9781139644174	book	May 2013
Redefinition of position variables and the reduction of higher‐order Lagrangians Damour, Thibault; Schäfer, Gerhard Journal of Mathematical Physics, Vol. 32, Issue 1 https://doi.org/10.1063/1.529135	journal	January 1991
On the Spectrum of ¹⁶⁸ Er Bohr, A.; Mottelson, B. R. Physica Scripta, Vol. 25, Issue 1A https://doi.org/10.1088/0031-8949/25/1A/005	journal	January 1982
Identification of all intrinsic excitations below 2 MeV in ¹⁶⁸ Er Davidson, W. F.; Warner, D. D.; Casten, R. F. Journal of Physics G: Nuclear Physics, Vol. 7, Issue 4 https://doi.org/10.1088/0305-4616/7/4/011	journal	April 1981
Identification of all intrinsic excitations below 2 MeV in ¹⁶⁸ Er Davidson, W. F.; Warner, D. D.; Casten, R. F. Journal of Physics G: Nuclear Physics, Vol. 7, Issue 6 https://doi.org/10.1088/0305-4616/7/6/516	journal	June 1981
Nonlinear Realizations of Chiral Symmetry Weinberg, Steven Physical Review, Vol. 166, Issue 5 https://doi.org/10.1103/PhysRev.166.1568	journal	February 1968
Structure of Phenomenological Lagrangians. I Coleman, S.; Wess, J.; Zumino, Bruno Physical Review, Vol. 177, Issue 5 https://doi.org/10.1103/PhysRev.177.2239	journal	January 1969
Structure of Phenomenological Lagrangians. II Callan, Curtis G.; Coleman, Sidney; Wess, J. Physical Review, Vol. 177, Issue 5 https://doi.org/10.1103/PhysRev.177.2247	journal	January 1969
Quantizing constrained systems Kaplan, L.; Maitra, N. T.; Heller, E. J. Physical Review A, Vol. 56, Issue 4 https://doi.org/10.1103/PhysRevA.56.2592	journal	October 1997
Rotational states in deformed nuclei: An analytic approach Bentz, W.; Arima, A.; Enders, J. Physical Review C, Vol. 84, Issue 1 https://doi.org/10.1103/PhysRevC.84.014327	journal	July 2011
Rotational constants of multi-phonon bands in an effective theory for deformed nuclei Zhang, Jialin; Papenbrock, T. Physical Review C, Vol. 87, Issue 3 https://doi.org/10.1103/PhysRevC.87.034323	journal	March 2013
Effective field theory for finite systems with spontaneously broken symmetry Papenbrock, T.; Weidenmüller, H. A. Physical Review C, Vol. 89, Issue 1 https://doi.org/10.1103/PhysRevC.89.014334	journal	January 2014
Effective theory for the nonrigid rotor in an electromagnetic field: Toward accurate and precise calculations of E 2 transitions in deformed nuclei Coello Pérez, E. A.; Papenbrock, T. Physical Review C, Vol. 92, Issue 1 https://doi.org/10.1103/PhysRevC.92.014323	journal	July 2015
Nonrelativistic effective Lagrangians Leutwyler, H. Physical Review D, Vol. 49, Issue 6 https://doi.org/10.1103/PhysRevD.49.3033	journal	March 1994
Effective Lagrangians with higher derivatives and equations of motion Knetter, Carsten Grosse Physical Review D, Vol. 49, Issue 12 https://doi.org/10.1103/PhysRevD.49.6709	journal	June 1994
Rotor spectra, berry phases, and monopole fields: From antiferromagnets to QCD Chandrasekharan, S.; Jiang, F. -J.; Pepe, M. Physical Review D, Vol. 78, Issue 7 https://doi.org/10.1103/PhysRevD.78.077901	journal	October 2008
Collective Modes in Light Nuclei from First Principles Dytrych, T.; Launey, K. D.; Draayer, J. P. Physical Review Letters, Vol. 111, Issue 25 https://doi.org/10.1103/PhysRevLett.111.252501	journal	December 2013
Intrinsic vs Laboratory Frame Description of the Deformed Nucleus 48 Cr Caurier, E.; Egido, J. L.; Martínez-Pinedo, G. Physical Review Letters, Vol. 75, Issue 13 https://doi.org/10.1103/PhysRevLett.75.2466	journal	September 1995
Magnetic dipole excitations in nuclei: Elementary modes of nucleonic motion Heyde, Kris; von Neumann-Cosel, Peter; Richter, Achim Reviews of Modern Physics, Vol. 82, Issue 3 https://doi.org/10.1103/RevModPhys.82.2365	journal	September 2010
Quantum Theory of Angular Momentum Varshalovich, D. A.; Moskalev, A. N.; Khersonskii, V. K. https://doi.org/10.1142/0270	book	October 1988
Effective Field Theory Approach to Ferromagnets and Antiferromagnets in Crystalline Solids RomÁN, JosÉ MarÍA; Soto, Joan International Journal of Modern Physics B, Vol. 13, Issue 07 https://doi.org/10.1142/S0217979299000655	journal	March 1999
Spontaneous Symmetry Breaking and Nambu–Goldstone Bosons in Quantum Many-Body Systems Brauner, Tomáš Symmetry, Vol. 2, Issue 2 https://doi.org/10.3390/sym2020609	journal	April 2010

Cited By (2)

Effective field theory for vibrations in odd-mass nuclei Coello Pérez, E. A.; Papenbrock, T. Physical Review C, Vol. 94, Issue 5 https://doi.org/10.1103/physrevc.94.054316	journal	November 2016
Effective field theory for vibrations in odd-mass nuclei Pérez, E. A. Coello; Papenbrock, T. arXiv https://doi.org/10.48550/arxiv.1608.02802	text	January 2016

Similar Records

Effective Theory for Deformed Nuclei

Journal Article · Fri Dec 31 23:00:00 EST 2010 · Nuclear Physics A · OSTI ID:1020786

Effective field theories for collective excitations of atomic nuclei

Journal Article · Mon Mar 10 20:00:00 EDT 2025 · Journal of Physics. G, Nuclear and Particle Physics · OSTI ID:2530439

Related Subjects

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

Effective field theory of emergent symmetry breaking in deformed atomic nuclei

Citation Formats

References (35)

Cited By (2)

Similar Records

Related Subjects