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Bootstrapping the deuteron

2022/01/03 by Dong Bai, Bai, Dong · 3 citations
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Amplitude #Bootstrapping (finance) #Cold Fusion and Nuclear Reactions #Conformal map #Consistency (knowledge bases) #Discrete mathematics #Effective field theory #FOS: Physical sciences #Hamiltonian (control theory) #Harmonic oscillator #High Energy Physics - Theory (hep-th) #Mathematical optimization #Mathematics #Nuclear Theory (nucl-th) #Nuclear physics research studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Scattering amplitude #Statistical physics #Theoretical physics #hep-th #nucl-th

paper · pdf · doi:10.48550/arxiv.2201.00551

published in arXiv (Cornell University) (Cornell University) · 8 pages, 1 figure

arxiv created 2022/01/03 · openalex publication_date 2022/01/03 · arxiv updated 2022/01/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/08

Abstract

Bootstrap is a novel and ambitious paradigm for quantum physics. It aims to solve the target problems by exploiting theoretical constraints from general physical principles and self-consistency conditions. The bootstrap philosophy dates back to the 1960s. Its real power has been recognized only recently in, e.g., conformal field theories and relativistic scattering amplitudes. Inspired by [X. Han, S. A. Hartnoll, and J. Kruthoff, Phys. Rev. Lett. 125, 041601 (2020)], we report the first bootstrap results in low-energy nuclear physics, where deuteron, with its Hamiltonian given by pionless effective field theory in harmonic oscillator space, is solved by directly exploiting the most fundamental quantum mechanical requirement that probability should never be negative. Our study shows that the bootstrap method can be helpful in studying realistic nuclear systems.

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