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Isotopic Effect in Double Proton Transfer Process of Porphycene Investigated by Enhanced QM/MM Method
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Perturbative Quantum Monte Carlo Method for Nuclear Physics.

Bing-Nan Lu1, Ning Li2, Serdar Elhatisari3

  • 1Graduate School of China Academy of Engineering Physics, Beijing 100193, China.

Physical Review Letters
|July 1, 2022
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Summary
This summary is machine-generated.

We developed a new method for quantum Monte Carlo calculations to compute higher-order perturbative corrections. This approach overcomes numerical challenges and accurately predicts nuclear binding energies, showing significant second-order effects.

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Area of Science:

  • Nuclear Physics
  • Quantum Many-Body Theory
  • Computational Physics

Background:

  • First-order perturbation theory is standard in Quantum Monte Carlo (QMC) calculations.
  • Higher-order perturbative terms in QMC pose significant numerical challenges.

Purpose of the Study:

  • To present a novel method for calculating perturbative corrections in projection QMC.
  • To compute nuclear ground state energies up to second order using a realistic chiral interaction.

Main Methods:

  • Developed a new approach for computing perturbative corrections within QMC.
  • Calculated nuclear binding energies for light nuclei up to O-16.
  • Expanded the Hamiltonian around the Wigner SU(4) limit.

Main Results:

  • Achieved good agreement between calculated and experimental nuclear binding energies.
  • Observed remarkably large second-order energy corrections due to symmetry breaking.
  • The method is free from the sign problem inherent in QMC.

Conclusions:

  • The new method enables accurate computation of higher-order perturbative corrections in QMC.
  • The findings highlight the importance of second-order effects in nuclear systems.
  • The approach is broadly applicable to various many-body systems.