A femtoscopic Correlation Analysis Tool using the Schrödinger equation (CATS)

Abstract

We present a new analysis framework called "Correlation Analysis Tool using the Schrödinger equation" (CATS) which computes the two-particle femtoscopy correlation function $C(k)$, with $k$ being the relative momentum for the particle pair. Any local interaction potential and emission source function can be used as an input and the wave function is evaluated exactly. In this paper we present a study on the sensitivity of $C(k)$ to the interaction potential for different particle pairs: p-p, p-$\mathrm{\Lambda }$, ${\mathrm{K}}^{-}$-p, ${\mathrm{K}}^{+}$-p, p-${\mathrm{\Xi }}^{-}$ and $\mathrm{\Lambda }$-$\mathrm{\Lambda }$. For the p-p Argonne $v_{18}$ and Reid Soft-Core potentials have been tested. For the other pair systems we present results based on strong potentials obtained from effective Lagrangians such as $\chi$EFT for p-$\mathrm{\Lambda }$, Jülich models for $\mathrm{K}(\bar{\mathrm{K}})$-N and Nijmegen models for $\mathrm{\Lambda }$-$\mathrm{\Lambda }$. For the p-${\mathrm{\Xi }}^{-}$ pairs we employ the latest lattice results from the HAL QCD collaboration. Our detailed study of different interacting particle pairs as a function of the source size and different potentials shows that femtoscopic measurements can be exploited in order to constrain the final state interactions among hadrons. In particular, small collision systems of the order of 1~fm, as produced in pp collisions at the LHC, seem to provide a suitable environment for quantitative studies of this kind.

arXiv comment16 pages, 13 figures, submitted to EPJ C

References in corpus (35)

• An accurate nucleon-nucleon potential with charge-independence breaking
• Microscopic Models for Ultrarelativistic Heavy Ion Collisions
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Construction of high-quality Nucleon-Nucleon potential models
• EPOS LHC : test of collective hadronization with LHC data
• Femtoscopy in Relativistic Heavy Ion Collisions: Two Decades of Progress
• Strangeness in nuclear physics
• A New Measurement of Kaonic Hydrogen X rays
• Peripheral Nucleon-Nucleon Phase Shifts and Chiral Symmetry
• Precision nucleon-nucleon potential at fifth order in the chiral expansion
• Nuclear forces from chiral Lagrangians using the method of unitary transformation I: Formalism
• Two-pion Bose-Einstein correlations in central Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Chiral SU(3) theory of antikaon-nucleon interactions with improved threshold constraints
• Hyperon-nucleon interaction at next-to-leading order in chiral effective field theory
• Pion interferometry in Au+Au collisions at $\sqrt{{\mathrm{s}}_{{}_{\mathrm{NN}}}}$ = 200 GeV
• Baryon-baryon interactions in the SU6 quark model and their applications to light nuclear systems
• Production of $\Sigma (1385{)}^{\pm }$ and $\Xi (1530{)}^0$ in proton-proton collisions at $\sqrt{s}=$ 7 TeV
• Chiral two-pion exchange and proton-proton partial-wave analysis
• Femtoscopy of pp collisions at $\sqrt{s}$=0.9 and 7 TeV at the LHC with two-pion Bose-Einstein correlations
• Lambda-Lambda interaction from relativistic heavy-ion collisions
• Dominant contributions to the nucleon-nucleon interaction at sixth order of chiral perturbation theory
• Two-pion femtoscopy in p-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV
• Baryonic resonances close to the Kbar-N threshold: the case of Lambda(1405) in pp collisions
• One-dimensional pion, kaon, and proton femtoscopy in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ =2.76 TeV
• Proton-lambda correlations in central Au+Au collisions at sqrt (s_NN)=200 GeV
• $p{\Xi }^{-}$ Correlation in Relativistic Heavy Ion Collisions with Nucleon-Hyperon Interaction from Lattice QCD
• Insight into particle production mechanisms via angular correlations of identified particles in pp collisions at $\sqrt{s}=7$ TeV
• Charged kaon femtoscopic correlations in pp collisions at $\sqrt{s}=7$ TeV
• Short-range repulsion and isospin dependence in the KN system
• The $\mathbf{\Lambda p}$ interaction studied via femtoscopy in p + Nb reactions at $\sqrt{{\mathbf{s}}_{\mathbf{NN}}}=3.18\mathbf{GeV}$
• Two-proton small-angle correlations in central heavy-ion collisions: a beam-energy and system-size dependent study
• Comparison of Source Images for protons, ${\pi }^{-}$'s and $\Lambda$'s in 6 AGeV Au+Au collisions
• Properties of the Lambda(1405) Measured at CLAS
• Lambda-p femtoscopy in collisions of Ar+KCl at 1.76 AGeV
• Proton -- Lambda Correlations in Central Pb+Pb Collisions at sqrt(s_{NN}) = 17.3 GeV

Cited by in corpus (46)

• Neutron Stars and the Nuclear Equation of State
• Strangeness in Nuclei and Neutron Stars
• Unveiling the strong interaction among hadrons at the LHC
• Study of the strong interaction among hadrons with correlations at the LHC
• p-p, p-$\Lambda$ and $\Lambda$-$\Lambda$ correlations studied via femtoscopy in pp reactions at $\sqrt{s}$ = 7 TeV
• First observation of an attractive interaction between a proton and a multi-strange baryon
• Study of the $\Lambda$-$\Lambda$ interaction with femtoscopy correlations in pp and p-Pb collisions at the LHC
• Experimental evidence for an attractive p-$\varphi$ interaction
• Search for a common baryon source in high-multiplicity pp collisions at the LHC
• Scattering studies with low-energy kaon-proton femtoscopy in proton-proton collisions at the LHC
• Investigation of the p-${\Sigma }^0$ interaction via femtoscopy in pp collisions
• Coupled-channel effects in hadron-hadron correlation functions
• First study of the two-body scattering involving charm hadrons
• Femtoscopic study on $D{D}^{\ast }$ and $D{\bar{D}}^{\ast }$ interactions for $T_{cc}$ and $X(3872)$
• Femtoscopic study of coupled-channel $N\Xi$ and $\Lambda \Lambda$ interactions
• Study of the $DK$ interaction with femtoscopic correlation functions
• Constraining the $\overline{\mathrm{K}}\mathrm{N}$ coupled channel dynamics using femtoscopic correlations at the LHC
• On coalescence as the origin of nuclei in hadronic collisions
• Femtoscopic signatures of the lightest S-wave scalar open-charm mesons
• Accessing the strong interaction between $\Lambda$ baryons and charged kaons with the femtoscopy technique at the LHC
• Investigating the role of strangeness in baryon$-$antibaryon annihilation at the LHC
• Kaon-proton strong interaction at low relative momentum via femtoscopy in Pb-Pb collisions at the LHC
• Strangeness $S=-2$ baryon-baryon interactions and femtoscopic correlation functions in covariant chiral effective field theory
• Studying the interaction between charm and light-flavor mesons
• Indication of a p-$\varphi$ bound state from a correlation function analysis
• First measurement of the $\Lambda$-$\Xi$ interaction in proton-proton collisions at the LHC
• Identical pion intensity interferometry at sqrt(s_{NN})=2.4 GeV
• Exploring the strong interaction of three-body systems at the LHC
• Effect of deuteron breakup on the deuteron-$\Xi$ correlation function
• Novel model for particle emission in small collision systems
• A method to remove lower order contributions in multi-particle femtoscopic correlation functions
• The $p\Lambda$ and $pp\Lambda$ correlation functions
• Can the strong interactions between hadrons be determined using femtoscopy?
• Exploring the $\varphi \text{-}\alpha$ interaction via femtoscopic study
• Study of the deuterons emission time in pp collisions at the LHC via kaon-deuteron correlations
• Femtoscopic study of the $\Omega \alpha$ interaction in heavy-ion collisions
• Investigating the pion emission source in pp collisions using the AMPT model with sub-nucleon structure
• Investigating the p-${\pi }^{\pm }$ and p-p-${\pi }^{\pm }$ dynamics with femtoscopy in pp collisions at $\sqrt{s}=13$ TeV
• A technique to study the elastic and inelastic interaction of quarkonium with hadrons using femtoscopic correlations
• Femtoscopic study of the proton-proton and proton-deuteron systems in heavy-ion collisions at the LHC
• The ${\eta }^{\prime }N$ interaction from the ${\eta }^{\prime }p$ correlation function
• Theoretical study on $\Lambda \alpha$ and $\Xi \alpha$ correlation functions
• Reconstructing rare particle source by femtoscopic correlations
• Correlation function for the $n{\bar{D}}_{s0}^{\ast }(2317)$ interaction and the issue of elastic unitarity
• Corrections to the Smoothness and On-Shell Approximations in Femtoscopy and Coalescence
• Theoretical study of the $\Xi \alpha$ correlation function