Multipole amplitudes in the one-photon radiative transitions of the singlet [ital D] state of charmonium

Journal Article · Fri Apr 01 04:00:00 EST 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.49.3450· OSTI ID:5014412

Sebastian, K J ^[1]

---

1. Department of Physics, University of Massachusetts Lowell, Lowell, Massachusetts 01854 (United States)

We calculate in potential models the angular momentum helicity amplitudes and from them the radiation multipole amplitudes of the one-photon radiative transitions of the charmonium singlet [ital D] state, namely, 1 [sup 1][ital D][sub 2][r arrow]1 [sup 1][ital P][sub 1]+[gamma] and 1 [sup 1][ital D][sub 2][r arrow]1 [sup 3][ital S][sub 1]+[gamma]. The [ital M]2 and the [ital E]3 multipole amplitudes in the parity-changing transition [sup 1][ital D][sub 2][r arrow][sup 1][ital P][sub 1] are of order [ital v][sup 2]/[ital c][sup 2] compared to the [ital E]1 amplitude and are independent of the specific potential we use. They only depend on [ital k]/[ital m] where [ital k] is the photon energy and [ital m] is the mass of the quark. On the other hand the [ital M]1, [ital E]2, and [ital M]3 multipole amplitudes in the parity-conserving transition [sup 1][ital D][sub 2][r arrow][sup 3][ital S][sub 1] are all of order [ital v][sup 2]/[ital c][sup 2] and depend on radial integrals which could depend on the potentials. We numerically evaluate these multipole amplitudes in the potential model of Gupta, Radford, and Repko and find that the [ital E]2 amplitude is the most dominant one. We also calculate the decay rate for the transition 1 [sup 1][ital D][sub 2][r arrow]1 [sup 3][ital S][sub 1]+[gamma] and find it to be about 63 keV. So if the 1 [sup 1][ital D][sub 2] state of charmonium is narrow, as expected in potential models, this transition will have a significant branching ratio, although the most dominant transition is probably 1 [sup 1][ital D][sub 2][r arrow]1 [sup 1][ital P][sub 1]+[gamma].

• OSTI ID: 5014412
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 49:7; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662240 -- Models for Strong Interactions-- (1992-)
662390* -- Electromagnetic Processes & Properties-- (1992-)
662420 -- Properties of Mesons & Meson Resonances-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
ANGULAR MOMENTUM
BOSONS
BRANCHING RATIO
CHARMONIUM
D STATES
E1-TRANSITIONS
E2-TRANSITIONS
ELECTROMAGNETIC RADIATION
ELEMENTARY PARTICLES
ENERGY LEVELS
ENERGY-LEVEL TRANSITIONS
HADRONS
HELICITY
MESONS
MULTIPOLE RADIATION
MULTIPOLE TRANSITIONS
PARTICLE PROPERTIES
POTENTIALS
QUARKONIUM
RADIATIONS
TRANSITION AMPLITUDES