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The simulations demonstrate that low mass vector mesons and charmonia can be clearly identified in central Au+Au collisions at beam energies provided by the international Facility for Antiproton and Ion Research FAIRResearch FAIR
Pairs of oppositely charged muons identified by MUCH could therefore be combined to measure the invariant masses in a wide range starting from low mass vector mesons (LMVM) up to charmonia.
For a compound c ∈ V c, we denote by m c ∈ ℕ n its mass vector, i.e. the vector representation of c over n chemical elements.
A compound node is uniquely represented by a name, a compartment and a mass vector, m c ∈ℕ n, i.e. the vector representation of the compound c over n chemical elements.
This results in a series of mass spectra, defined by the mass vector m, and taken at times t1, t2,..., t R. As the mixture components elute from the chromatographic column their concentrations change, and the mass spectra of this continuously changing mixture are recorded.
This results in R mass scans recorded during the time of the experiment, at times t1, t2,..., t R. Each mass scan can be converted into a series of N m/z intensities defined by the mass vector m = (m1, m2,..., m N ), where each m i corresponds to one m/z "channel".
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Our procedure depends on determining the classes of linearly dependent mass vectors.
Two compounds c, k ∈ V c will be called mass equivalent if and only if their respective mass vectors m c and m k are linearly dependent.
> -wrap-foot> > -wrap-foot> The inclusion of linear-dependent triplets of mass vectors is straightforward and may further increase the sample space.
Moreover, two pairs of compounds, denoted by (c, k) and (c′, k′), will be called mass equivalent if and only if the corresponding sums of mass vectors m c + m k and m c ′ + m k ′ are linearly dependent.
For the substitution of an individual compound (c, c′), such coefficients can always be found, due to the linear dependence of the mass vectors: s c ′, r is obtained as.
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