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Title: Twist-averaged boundary conditions for nuclear pasta Hartree-Fock calculations

Journal Article · · Physical Review C, Nuclear Physics
 [1];  [2]
  1. Michigan State Univ., East Lansing, MI (United States)
  2. Michigan State Univ., East Lansing, MI (United States); Univ. of Warsaw, Warsaw (Poland)

Nuclear pasta phases, present in the inner crust of neutron stars, are associated with nucleonic matter at subsaturation densities arranged in regular shapes. Those complex phases, residing in a layer which is approximately 100-m thick, impact many features of neutron stars. Theoretical quantum-mechanical simulations of nuclear pasta are usually carried out in finite three-dimensional boxes assuming periodic boundary conditions. The resulting solutions are affected by spurious finite-size effects. To remove spurious finite-size effects, it is convenient to employ twist-averaged boundary conditions (TABC) used in condensed matter, nuclear matter, and lattice quantum chromodynamics applications. In this work, we study the effectiveness of TABC in the context of pasta phase simulations within nuclear density functional theory. We demonstrated that by applying TABC reliable results can be obtained from calculations performed in relatively small volumes. By studying various contributions to the total energy, we gain insights into pasta phases in mid-density range. Future applications will include the TABC extension of the adaptive multiresolution 3D Hartree-Fock solver and Hartree-Fock-Bogoliubov TABC applications to superfluid pasta phases and complex nucleonic topologies as in fission.

Research Organization:
Michigan State Univ., East Lansing, MI (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
NA0002574; SC0008511; NA0002847
OSTI ID:
1233548
Alternate ID(s):
OSTI ID: 1224133
Journal Information:
Physical Review C, Nuclear Physics, Vol. 92, Issue 4; ISSN 0556-2813
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 37 works
Citation information provided by
Web of Science

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Cited By (8)

A new statistical method for the structure of the inner crust of neutron stars journal August 2017
Cluster formation in precompound nuclei in the time-dependent framework journal December 2017
Shape stability of pasta phases: Lasagna case journal December 2018
Superfluidity in nuclear systems and neutron stars journal September 2019
TDHF Theory and Its Extensions for the Multinucleon Transfer Reaction: A Mini Review journal March 2019
Quantum Nuclear Pasta and Nuclear Symmetry Energy text January 2017
Domains and defects in nuclear "pasta" text January 2018
TDHF Theory and Its Extensions for the Multinucleon Transfer Reaction: a Mini Review text January 2019

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