Journal
PHYSICAL REVIEW D
Volume 105, Issue 12, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.105.123036
Keywords
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Funding
- NSF Astronomy and Astrophysics Postdoctoral Fellowship [AST-1801844, AST-2001760]
- DOE Office of Nuclear Physics [DE-FG02-02ER41216]
- National Science Foundation [PHY-1430152, PHY-1630782, PHY-2020275]
- Michigan State University
- Research Corporation for Science Advancement
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The successful transition from classical neutrino transport to quantum neutrino transport simulations requires the development of methods for calculating neutrino flavor transformations. One potential approach is the use of angular moments of the neutrino field, which can be straightforwardly generalized from the classical moments based on the Boltzmann equation. The efficient implementation of neutrino transformation using quantum angular moments in the free streaming, spherically symmetric bulb model predicts the onset of collective flavor transformations with good accuracy.
The successful transition from core-collapse supernova simulations using classical neutrino transport to simulations using quantum neutrino transport will require the development of methods for calculating neutrino flavor transformations that mitigate the computational expense. One potential approach is the use of angular moments of the neutrino field, which has the added appeal that there already exist simulation codes which make use of moments for classical neutrino transport. Evolution equations for quantum moments based on the quantum kinetic equations can be straightforwardly generalized from the evolution of classical moments based on the Boltzmann equation. We present an efficient implementation of neutrino transformation using quantum angular moments in the free streaming, spherically symmetric bulb model. We compare the results against analytic solutions and the results from more exact multiangle neutrino flavor evolution calculations. We find that our moment-based methods employing scalar closures predict, with good accuracy, the onset of collective flavor transformations seen in the multiangle results. However in some situations they overestimate the coherence of neutrinos traveling along different trajectories. More sophisticated quantum closures may improve the agreement between the inexpensive moment-based methods and the multiangle approach.
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