Covariant Harmonic Oscillators and the Axial-Vector Coupling Constant

Ruiz, Michael J.

doi:10.1103/PhysRevD.12.2922

Covariant Harmonic Oscillators and the Axial-Vector Coupling Constant

Michael J. Ruiz
(
- Maryland U.
)

Feb, 1975

15 pages

Published in:

Phys.Rev.D 12 (1975) 2922

DOI:

10.1103/PhysRevD.12.2922

Report number:

MdDP-TR-75-060

View in:

reference search29 citations

Citations per year

Abstract: (APS)

The SU(6) value for the axial-vector coupling constant of the nucleon, which is 5/3, is modified by considering the relativistic motion of the quarks inside the hadron. The covariant harmonic-oscillator formalism of Kim and Noz is used to describe the internal quark motion. An excellent numerical result is obtained with reasonable choices for spring constant and quark mass.

FIELD THEORY
MODEL: OSCILLATOR
SYMMETRY: SU(6)
CURRENT ALGEBRA
COUPLING CONSTANT: AXIAL-VECTOR
MODEL: HADRON
QUARK: ANGULAR MOMENTUM
QUARK: MASS
MASS: QUARK
SPINOR

References(8)

Figures(0)

On a Model of quasiindependent quarks

P.N. Bogolubov

- Ann.Inst.H.Poincare Phys.Theor. 8 (1968) 163-190

Prediction of the SU(3) x SU(3) configuration mixing as a relativistic effect in the naive quark model

- Phys.Rev.D 9 (1974) 2636
•
DOI:
- 10.1103/PhysRevD.9.2636

Covariant Harmonic Oscillators and the Quark Model

Y.S. Kim
(
- Maryland U.
)
,
M.E. Noz
(
- Pennsylvania U.
)

- Phys.Rev.D 8 (1973) 3521-3527,
- IN *NOZ, M.E. (ED.), KIM, Y.S. (ED.): SPECIAL RELATIVITY AND QUANTUM THEORY* 258-264. AND MARYLAND UNIV. COLLEGE PARK - 73-088 (73,REC.FEB.) 22 P. (SEE BOOK INDEX)
•
DOI:
- 10.1103/PhysRevD.8.3521

Current matrix elements from a relativistic quark model

- Phys.Rev.D 3 (1971) 2706-2732
•
DOI:
- 10.1103/PhysRevD.3.2706

Orthogonality Relation for Covariant Harmonic Oscillator Wave Functions

Michael J. Ruiz
(
- Maryland U.
)

- Phys.Rev.D 10 (1974) 4306,
- IN *NOZ, M.E. (ED.), KIM, Y.S. (ED.): SPECIAL RELATIVITY AND QUANTUM THEORY* 265-267. (PHYS. REV. D10 (1974) 4306-4307) AND MARYLAND UNIV. COLLEGE PARK - 74-096 (74,REC.MAY) 5 P. (SEE BOOK INDEX)
•
DOI:
- 10.1103/PhysRevD.10.4306

Radial excitations in the symmetric quark model

Y.S. Kim
(
- Maryland U.
)
,
M.E. Noz

- Nuovo Cim.A 11 (1972) 513-522
•
DOI:
- 10.1007/BF02729460

Radial excitations in the symmetric quark model. 2.

Y.S. Kim
(
- Maryland U.
)
,
M.E. Noz
(
- Maryland U.
)

- Nuovo Cim.A 19 (1974) 657-666
•
DOI:
- 10.1007/BF02813412

Covariant Harmonic Oscillators and Excited Meson Decays

Y.S. Kim
(
- Maryland U.
)
,
Marilyn E. Noz
(
- New York U. Med. Ctr.
)

- Phys.Rev.D 12 (1975) 129
•
DOI:
- 10.1103/PhysRevD.12.129