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Title: Particle-number projection in the finite-temperature mean-field approximation

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Publication Date:
Sponsoring Org.:
OSTI Identifier:
Grant/Contract Number:
FG02-91ER40608; FG02-00ER411132
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 96; Journal Issue: 1; Related Information: CHORUS Timestamp: 2017-07-07 22:09:33; Journal ID: ISSN 2469-9985
American Physical Society
Country of Publication:
United States

Citation Formats

Fanto, P., Alhassid, Y., and Bertsch, G. F. Particle-number projection in the finite-temperature mean-field approximation. United States: N. p., 2017. Web. doi:10.1103/PhysRevC.96.014305.
Fanto, P., Alhassid, Y., & Bertsch, G. F. Particle-number projection in the finite-temperature mean-field approximation. United States. doi:10.1103/PhysRevC.96.014305.
Fanto, P., Alhassid, Y., and Bertsch, G. F. 2017. "Particle-number projection in the finite-temperature mean-field approximation". United States. doi:10.1103/PhysRevC.96.014305.
title = {Particle-number projection in the finite-temperature mean-field approximation},
author = {Fanto, P. and Alhassid, Y. and Bertsch, G. F.},
abstractNote = {},
doi = {10.1103/PhysRevC.96.014305},
journal = {Physical Review C},
number = 1,
volume = 96,
place = {United States},
year = 2017,
month = 7

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on July 7, 2018
Publisher's Accepted Manuscript

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  • The framework of relativistic self-consistent mean-field models is extended to include correlations related to the restoration of broken symmetries and to fluctuations of collective variables. The generator coordinate method is used to perform configuration mixing of angular-momentum and particle-number projected relativistic wave functions. The geometry is restricted to axially symmetric shapes, and the intrinsic wave functions are generated from the solutions of the relativistic mean-field+Lipkin-Nogami BCS equations, with a constraint on the mass quadrupole moment. The model employs a relativistic point-coupling (contact) nucleon-nucleon effective interaction in the particle-hole channel, and a density-independent {delta}-interaction in the pairing channel. Illustrative calculations aremore » performed for {sup 24}Mg, {sup 32}S, and {sup 36}Ar, and compared with results obtained employing the model developed in the first part of this work, i.e., without particle-number projection, as well as with the corresponding nonrelativistic models based on Skyrme and Gogny effective interactions.« less
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  • We introduce first the facilities of RCNP; the cyclotron facility and GeV gamma facility. We discuss then the role of the pion on the ground state of finite nuclei. We treat the pions in the relativistic mean field approximation with the projection of the parity and the charge number by using the chiral Lagrangian, We find good ground state properties of 4He.
  • We calculate the finite nucleus Dirac mean field spectrum in a Galerkinapproach using finite basis splines. We review the method and present resultsfor the relativistic model for the closed-shell nuclei/sup 16/O and /sup 40/Ca. We study the convergence of themethod as a function of the size of the basis and the closure properties of thespectrum using an energy-weighted dipole sum rule. We apply the method to theDirac random-phase-approximation response and present results for the isoscalar1/sup /minus// and 3/sup /minus// longitudinal form factors of/sup 16/O and /sup 40/Ca. We also use a /ital B/-splinespectral representation of the positive-energy projector tomore » evaluate partialenergy-weighted sum rules and compare with nonrelativistic sum rule results.« less
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