StrangenessS=−1hyperon-nucleon scattering in covariant chiral effective field theory

Abstract

Motivated by the successes of covariant baryon chiral perturbation theory in one-baryon systems and in heavy-light systems, we study relevance of relativistic effects in hyperon-nucleon interactions with strangeness S = −1. In this exploratory work, we follow the covariant framework developed by Epelbaum and Gegelia to calculate the Y N scattering amplitude at leading order. By fitting the five low-energy constants to the experimental data, we find that the cutoff dependence is mitigated, compared with the heavy-baryon approach. Nevertheless, the description of the experimental data remains quantitatively similar at leading order.

Nuclear effective field theory: status and perspectives

“…The leading three-baryon forces, which appear at O(Q n+1 /M n+1 QCD ), have also been written down (Petschauer et al, 2016). A large-N c analysis of hyperon-nucleon interactions was carried out by Liu et al (2019), while a covariant formulation presented by Li et al (2016Li et al ( , 2018. If m K or m η are considered large scales, the onset of η-nuclear binding can be considered in a Pionless EFT approach in order to derive constraints on the ηN scattering length (Barnea et al, 2017a,b).…”

Hyperon-Nuclear Interactions From SU(3) Chiral Effective Field Theory

“…[38] at leading order in nonrelativistic χEFT. Recently calculations within leading order covariant χEFT have been performed for Y N interactions in the strangeness sector [39][40][41][42][43] with comparable results, see also Ref. [44].…”

Strangeness $S = -2$ baryon-baryon interactions and femtoscopic correlation functions in covariant chiral effective field theory

“…[77][78][79], the reaction amplitude T βα;l in this work is obtained by solving the coupledchannel Kadyshevsky equation [104], instead of the non-relativistic LS equation. The crucial distinction between the LS and Kadyshevsky equations is the propagator, which leads to the fact that the latter is less dependent on the momentum cutoff [98]. On the other hand, for calculating the wave functions, we have checked that the effects from different propagators can be neglected.…”

“…Recently, a covariant ChEFT was proposed to describe the nucleon-nucleon interaction [89][90][91][92][93][94][95][96][97]. As an extension of the theoretical framework to the u, d, s(c) flavor space, the covariant ChEFT has also been applied in describing the YN and YY systems with strangeness ranging from −1 to −4 [26][27][28][98][99][100], and Λ c N system [101,102]. Given the latest experimental progress in Femtography, it is of critical importance to compare the covariant chiral YN and YY interactions constrained by the latest lattice QCD simulations with the measured correlation functions, especially in the S = −2 sector, which is the main purpose of the present work.…”