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European Physical Journal C: Particles and Fields
Article . 1988 . Peer-reviewed
License: Springer TDM
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BiPrints
Article . 1988
License: "In Copyright" Rights Statement
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Publications at Bielefeld University
Article . 1988
License: "In Copyright" Rights Statement
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Mass spectrum ofP-wave mesons

Authors: GUPTA, V; Kögerler, Reinhart;

Mass spectrum ofP-wave mesons

Abstract

Mass splittings of mesons withL≧1 are discussed on the basis of a general spin-dependent potential consisting of a vector (V(r)) and a scalar (S(r)) part. For arbitraryV(r) andS(r), the four masses, for the three3 L J and the one1 L J=L levels, are given in terms of only three unknown expectation values 〈(1/r)(dV/dr)〉, 〈d 2 V/dr 2〉 and 〈(1/r)(dS/dr)〉. These expectations values are extracted for theP-wave $$u\bar s$$ (or $$d\bar s$$ ) mesons which are discussed in detail. It is argued that the 0++ mass should be around 1150 to 1230 MeV, rather than at 1350 MeV. On comparing the expectation values for the $$u\bar s$$ , $$c\bar c$$ , $$b\bar b$$ and the $$I = 1u\bar u$$ systems, we find that they all scale asa+bμ, wherea andb are constants and μ is the reduced mass. Remarkably enough, we also find that theP-wave meson masses for these systems satisfy mass formulae of the formA+B(m1+m2), with constantA andB. It is shown that similar linear mass formulae also work forS-wave mesons. These facts seem to reveal a rather general property of $$q\bar q$$ states.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Average
Top 10%
Top 10%
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