Femtoscopic correlations and the $$\varLambda _c N$$ interaction

Abstract

We study the prospects for deducing constraints on the interaction of charmed baryons with nucleons from measurements of two-particle momentum correlation functions for Λ c p. The correlation functions are calculated for Λ c N and Σ c N interactions that have been extrapolated from lattice QCD simulations at unphysical masses of m π = 410 − 570 MeV to the physical point using chiral effective field theory as guideline. In addition, we consider phenomenological Y c N models from the literature to explore the sensitivity of the results to the properties of the interaction in detail. We find that a measurement of the Λ c p correlation functions could indeed allow one to discriminate between strongly attractive Λ c N forces, as predicted by some phenomenological models, and a weakly attractive interaction as suggested by the presently available lattice simulations.

Strangeness ${S=-3}$ and ${-4}$ baryon-baryon interactions in chiral effective field theory

“…Details for calculating the two-particle momentum correlation function 𝐶 (𝑘) within the Koonin-Pratt formalism can be found, e.g., in [17], and for the case of coupled channels in [30]. The inclusion of the Coulomb interaction is discussed in [31]. Below we only summarize the formulae used here.…”

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

“…Because of the abundant hyperons produced in relativistic heavy-ion collisions and the excellent capabilities of detectors to identify particles and measure their momenta, the measurements of momentum correlation functions have become invaluable to reveal the precise dynamics of the strong interactions between a pair of hadrons, including meson-meson [43][44][45][46][47], meson-baryon [48][49][50], and (anti)baryon-(anti)baryon [51][52][53][54][55][56][57][58][59][60][61][62][63][64][65]. The measurements of momentum correlation functions have also triggered a large amount of related theoretical studies [66][67][68][69][70][71][72][73][74][75][76][77][78][79][80][81][82].…”

Exploring the $Σ^+ p$ interaction by measurements of the correlation function

“…Formalism: The formalism for calculating the twoparticle correlation function from a two-body interaction has been described in detail in various publications. Thus, in the following we provide only a summary of the employed formulae, where we follow very closely the paper of Ohnishi et al [36], see also [18,23,37]. The two-particle momentum correlation function C(k) for two non-identical particles with interaction in a single S-wave state is given by…”

“…( 1) and ( 2) are required, see Ref. [37]. Specifically, the wave functions ψ(k, r) and j 0 (kr) have to be replaced by the corresponding solutions including the Coulomb interaction, ψ SC (k, r) and F 0 (kr)/(kr), where F 0 (kr) is the regular Coulomb wave function for l = 0.…”