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Extraction of Spectra in the Shell Model Monte Carlo Method Using Imaginary-Time Correlation Matrices.

Y Alhassid1, M Bonett-Matiz2, C N Gilbreth3

  • 1Center for Theoretical Physics, Sloane Physics Laboratory, <a href="https://ror.org/03v76x132">Yale University</a>, New Haven, Connecticut 06520, USA.

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|November 15, 2024
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This summary is machine-generated.

This study introduces a new method using shell model Monte Carlo (SMMC) to extract nuclear energy levels. This approach overcomes limitations of traditional methods in large model spaces, enabling better nuclear structure calculations.

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Area of Science:

  • Nuclear physics
  • Computational physics
  • Quantum many-body systems

Background:

  • Conventional configuration-interaction (CI) shell model methods struggle with large nuclear model spaces.
  • Shell Model Monte Carlo (SMMC) is effective for nuclear observables but extracting spectra is difficult.

Purpose of the Study:

  • To develop a novel method for extracting low-lying nuclear energy levels within the SMMC framework.
  • To enable spectral calculations for nuclei in very large model spaces.

Main Methods:

  • Utilizing imaginary-time correlation matrices (ITCMs) of one-body densities.
  • Employing a generalized eigenvalue problem for spectral extraction.
  • Validating the method on a light nucleus against exact CI diagonalization.

Main Results:

  • Successfully extracted low-lying energy levels with specified quantum numbers (spin, parity).
  • Demonstrated method's accuracy by comparing with established CI shell-model results.
  • Showcased the broad applicability of the SMMC-based spectral extraction technique.

Conclusions:

  • The novel ITCM-based method effectively extracts nuclear spectra within SMMC.
  • This technique expands the applicability of SMMC to detailed nuclear structure studies.
  • The method holds potential for quantum many-body systems beyond nuclear physics.