2013/03/25 by S. A. Coon, Sidney A Coon, Coon, Sidney A
Engineering · Physics and Astronomy · #FOS: Physical sciences #Nuclear Theory (nucl-th) #Nuclear physics research studies #Particle Accelerators and Free-Electron Lasers #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #nucl-th
paper · pdf · doi:10.48550/arxiv.1303.6358
Talk at International Workshop "Nuclear theory in the Supercomputing Era", Pacific National University, Khabarovsk, Russia, June 18-22,2012. To appear in the proceedings. 19 pages
openalex publication_date 2013/03/25 · arxiv created 2013/03/26 · arxiv updated 2013/03/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
I abstract from a recent publication [1] the motivations for, analysis in and conclusions of a study of the ultraviolet and infrared momentum regulators induced by the necessary truncation of the model spaces formed by a variational trial wave function. This trial function is built systematically from a complete set of many-body basis states based upon three-dimensional harmonic oscillator (HO) functions. Each model space is defined by a truncation of the expansion characterized by a counting number (N) and by the intrinsic scale (ℏω) of the HO basis. Extending both the uv cutoff to infinity and the ir cutoff to zero is prescribed for a converged calculation. In [1] we established practical procedures which utilize these regulators to obtain the extrapolated result from sequences of calculations with model spaces. Finally, I update this subject by mentioning recent work on our extrapolation prescriptions which have appeared since the submission of [1]. The numerical example chosen for this contribution consists of calculations of the ground state energy of the triton with the "bare" and "soft" Idaho N3LO nucleon-nucleon (NN) interaction.