RENORMALIZATION FOR NUCLEON-ANTINUCLEON INTERACTION

Journal Article · Tue Aug 23 04:00:00 EDT 1960 · Proc. Roy. Soc. (London), A

DOI:https://doi.org/10.1098/rspa.1960.0135· OSTI ID:4149655

Mitra, A N; Saxena, R P

The divergences associated with the integral equation for nucleon- antinucleon (N-N) interaction derived in the preceding paper (Mitra axena 1960) are analyzed in detail. The problem is found to be quite sithilar to that discussed by Dalitz yson (1955) in connection with the pi -N problem. The part of the wave function representing the specific effects of the anninilation interaction is found to be expressed in terms of the so-called vertex operator and a raeson propagator mcdified by self-energy effects. The ventex operator is then renormalized and the finite (observable) effects of this renormalization on the N-N wavefunction evaluated. It is found that, unlike the case of pi -N scattering where two different renormalization factors are needed for describings- and p-wave interactions, the present problem requires a unique renormalization constant covering both cdd and even angular momentum states. (auth)

• Research Organization: Muslim Univ., Aligarh, India
• Sponsoring Organization: USDOE
• NSA Number: NSA-14-023546
• OSTI ID: 4149655
• 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

Related Subjects

ANGULAR MOMENTUM
ANTINUCLEONS
DIFFERENTIAL EQUATIONS
INTERACTIONS
MOMENTUM
NUCLEONS
OPERATORS
PHYSICS
PIONS
QUANTUM MECHANICS
SCATTERING