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.
Highlights
Unlike heavy-ion collisions, nucleon–nucleon (NN) collisions are not affected by the formation of a medium such as the Quark–Gluon–Plasma
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
In this paper we show that future femtoscopic analyses for the – correlation function performed with CATS open the possibility to differentiate between different types of potentials
Summary
Unlike heavy-ion collisions, nucleon–nucleon (NN) collisions are not affected by the formation of a medium such as the Quark–Gluon–Plasma. When mesons are considered the correlation function is affected by a mini-jet background over the whole k range [14,15] This effect is visible in baryon-antibaryon correlations (B–B ), where partons from the colliding protons hadronize in particle cones containing a B–Bpair. The production of such pairs is enhanced due to the intrinsic baryon number conservation and shows a strong kinematic correlation which overlaps to the true femtoscopic signal in the final correlation function. Since these mini-jets are not present in the correlation function of B–B/B –B [17], those systems are well suited to study the final state interaction
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
