Chiral potential renormalized in harmonic-oscillator space

Abstract : We renormalize the chiral effective field theory (EFT) potential in harmonic-oscillator (HO) model space. The low energy constants (LECs) are utilized to absorb not just the ultra-violet part of the physics due to the cutoff, but also the infrared part due to the truncation of model space. We use the inverse J-matrix method to reproduce the nucleon-nucleon (NN) scattering phase shifts in the given model space. We demonstrate that by including the NLO correction, the nucleon-nucleon scattering in the continuum could be well reproduced in the truncated HO trap space up to laboratory energy $T_{lab}=100$ MeV with number of HO basis $n_{max}$ as small as 10. A perturbative power counting starts at subleading order is adopted in this work, and how to extract the perturbative contribution is demonstrated. Our work serves as the input to perform ab-initio calculations.
Type de document :
Pré-publication, Document de travail
published version. 23 pages, 11 figures. 2016

http://hal.in2p3.fr/in2p3-01447816
Contributeur : Sophie Heurteau <>
Soumis le : vendredi 27 janvier 2017 - 11:51:19
Dernière modification le : jeudi 11 janvier 2018 - 06:12:41

Identifiants

• HAL Id : in2p3-01447816, version 1
• ARXIV : 1610.01350

Citation

C.J. Yang. Chiral potential renormalized in harmonic-oscillator space. published version. 23 pages, 11 figures. 2016. 〈in2p3-01447816〉

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