Angular distribution functions in the decays of [psi][prime],[psi][prime][prime] and the singlet [ital D] charmonium state directly produced in [ital [bar p]p] collisions

Journal Article · Sun May 01 04:00:00 EDT 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.49.4617· OSTI ID:5015613

Ridener, Jr, F L ^[1]; Sebastian, K J ^[2]

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1. Pennsylvania State University at New Kensington, New Kensington, Pennsylvania 15068 (United States)
2. University of Massachusetts at Lowell, Lowell, Massachusetts 01854 (United States)

We calculate the angular distribution of the two [gamma] photons produced in the processes [ital [bar p]p][r arrow][psi][prime],[psi][prime][prime][r arrow][chi][sub [ital J]]+[gamma][sub 1][r arrow][psi]+[gamma][sub 1]+[gamma][sub 2] ([ital J]=0,1,2), and [ital [bar p]p][r arrow]1[sup 1][ital D][sub 2][r arrow]1 [sup 1][ital P][sub 1]+[gamma][sub 1][r arrow]1 [sup 1][ital S][sub 0]+[gamma][sub 1]+[gamma][sub 2] in terms of the helicity amplitudes of the individual processes. There is enough information in the angular distributions, even when [ital [bar p]] and [ital p] are unpolarized, to extract the magnitudes of all the helicity amplitudes as well as the cosine of the relative phases of the helicity amplitudes or equivalently the multipole amplitudes in the processes [psi][prime] or [psi][prime][prime][r arrow][chi][sub [ital J]]+[gamma] ([ital J]=0,1,2) and 1 [sup 1][ital D][sub 2][r arrow]1 [sup 1][ital P][sub 1]+[gamma]. Finally we also derive the combined angular distribution of the electron and the photon in the cascade process [ital [bar p]p][r arrow]1 [sup 1][ital D][sub 2][r arrow]1 [sup 3][ital S][sub 1]+[gamma][r arrow][ital e][sup +]+[ital e][sup [minus]]+[gamma] in terms of the helicity amplitudes of the individual processes. Here again, even when [ital [bar p]] and [ital p] are unpolarized there is enough information in the angular distribution to determine the magnitudes of all the helicity amplitudes as well as the cosine of the relative phases of the helicity amplitudes or equivalently radiation multipole amplitudes in the parity-conserving one-photon radiative transitions 1 [sup 1][ital D][sub 2](2[sup [minus]+])[r arrow]1 [sup 3][ital S][sub 1](1[sup [minus][minus]])+[gamma].

• OSTI ID: 5015613
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 49:9; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
ANGULAR DISTRIBUTION
BARYON-BARYON INTERACTIONS
BOSONS
CHARM PARTICLES
CHARMED MESONS
CHARMONIUM
D MESONS
DECAY
DISTRIBUTION
ELEMENTARY PARTICLES
HADRON-HADRON INTERACTIONS
HADRONS
HELICITY
INTERACTIONS
MASSLESS PARTICLES
MESONS
MULTIPOLES
NUCLEON-ANTINUCLEON INTERACTIONS
PARTICLE DECAY
PARTICLE INTERACTIONS
PARTICLE PRODUCTION
PARTICLE PROPERTIES
PHOTONS
PROTON-ANTIPROTON INTERACTIONS
PSEUDOSCALAR MESONS
PSI-3685 MESONS
PSI-3770 MESONS
QUARKONIUM
VECTOR MESONS