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NUCLEON-ANTINUCLEON INTERACTION IN THE NEW TAMM-DANCOFF APPROXIMATION

Journal Article · · Proc. Roy. Soc. (London), A
;
The nucleon-antinucleon (N-N) problem is formulated in the new Tamm- Dancoff approximation in the lowest order, and the integral equation for N-N scattering derived, talking account of both the exchange and annihilation interaction. It is found convenient to represent the N-N wave function as a 4 x 4 matrix, rather than the usual 16 x 1 matrix for the nucleon-nucleon wave function, and a complete correspondence is established between these two representations. The divergences associated with the annihilation interaction and their renormalization are discussed in detail in another Paper (Mitra nxena 1960; referred to as II). The integral equation with the exchange interaction alore, is then separated into eigenstates of T, J, L, and S in the usual manager and the various phase shifts obtained. The results of Il for the contribution of the anainilation term are then used to calculate the complete phase shifts from which the various cross sections (scattering and charge exchange) are derived. The results indicate that while the exchange term alone gives too small values for the total cross sections versus energy, inclusion of the anninilation interaction without renormalization effects makes the cross sections nearly three times larger than those observed. On the other hand, inclusion of the finite effects of renormnlization (which manifest themselves essentially as a suppression of the virtual meson propagator) brings down these cross sections to the order of magnitude of the observed ones. (auth)
Research Organization:
Muslim Univ., Aligarh, India
Sponsoring Organization:
USDOE
NSA Number:
NSA-14-023545
OSTI ID:
4156629
Journal Information:
Proc. Roy. Soc. (London), A, Journal Name: Proc. Roy. Soc. (London), A Vol. Vol: 257
Country of Publication:
Country unknown/Code not available
Language:
English

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Related Subjects

ANNIHILATION
ANTINUCLEONS
CROSS SECTIONS
DIFFERENTIAL EQUATIONS
ELECTRIC CHARGES
ENERGY
INTERACTIONS
MATRICES
NUCLEONS
PHYSICS
QUANTUM MECHANICS
SCATTERING
SPECTRAL SHIFT
TAMM-DANCOFF METHOD