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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.
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http://hal.in2p3.fr/in2p3-01447816
Contributor : Sophie Heurteau <>
Submitted on : Friday, January 27, 2017 - 11:51:19 AM
Last modification on : Wednesday, September 16, 2020 - 4:09:28 PM

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C.J. Yang. Chiral potential renormalized in harmonic-oscillator space. Physical Review C, American Physical Society, 2016, 94, pp.064004. ⟨10.1103/PhysRevC.94.064004⟩. ⟨in2p3-01447816⟩

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