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Results on    $$\phi $$   ϕmeson production in inelastic    $$p + p$$    p  +  pcollisions at CERN SPS energies are presented. They are derived from data collected by the NA61/SHINE fixed target experiment, by means of invariant mass spectra fits in the    $$\phi \rightarrow K^+ K^- $$    ϕ  →   K  +    K  -decay channel. They include the first ever measured double differential spectra of    $$\phi $$   ϕmesons as a function of rapidity    $$y$$   yand transverse momentum    $$p_{\text {T}}$$    p  Tfor proton beam momenta of    $$80 \, \hbox {GeV}/c$$    80   GeV  /  cand    $$158 \, \hbox {GeV}/c$$    158   GeV  /  c, as well as single differential spectra of    $$y$$   yor    $$p_{\text {T}}$$    p  Tfor beam momentum of    $$40 \, \hbox {GeV}/c$$    40   GeV  /  c. The corresponding total    $$\phi $$   ϕyields per inelastic    $$p + p$$    p  +  pevent are obtained. These results are compared with existing data on    $$\phi $$   ϕmeson production in    $$p + p$$    p  +  pcollisions. The comparison shows consistency but superior accuracy of the present measurements. The emission of    $$\phi $$   ϕmesons in    $$p + p$$    p  +  preactions is confronted with that occurring in    $$\mathrm{Pb} + \mathrm{Pb}$$    Pb  +  Pbcollisions, and the experimental results are compared with model predictions. It appears that none of the considered models can properly describe all the experimental observations.

european physical journal. c, particles and fields

Measurement of $$\phi $$ meson production in $$p + p$$ interactions at 40, 80 and $$158 \, \hbox {GeV}/c$$ with the NA61/SHINE spectrometer at the CERN SPS