Nucleon-nucleon scattering lengths in QCD sum rules

Journal Article · Mon Nov 01 04:00:00 EST 1993 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.71.2855· OSTI ID:5726840

Kondo, Y; Morimatsu, O ^[1]

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1. Institute for Nuclear Study, University of Tokyo, Midori-cho, Tanashi, Tokyo 188 (Japan)

Nucleon-nucleon scattering lengths are calculated by QCD sum rules. The calculation is based on the observation that the coefficient of the second-order pole term of the nucleon correlation function in nucleon is proportional to the nucleon-nucleon scattering length at the threshold. By applying Borel sum rules, we express the scattering length in terms of the expectation values of the quark-gluon field operators with respect to the one-nucleon state. The scattering lengths calculated are in qualitative agreement with the experiment. It is shown that in the linear density approximation the nucleon mass shift in nuclear matter is related to the nucleon-nucleon scattering length by [delta][ital M][sub [ital N]]=[minus](3[pi]/2[ital M][sub [ital N]])([ital a][sub [ital N][ital N]][sup 1]+[ital a][sub [ital N][ital N]][sup 3])[rho].

• OSTI ID: 5726840
• Journal Information: Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 71:18; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

662130 -- General Theory of Particles & Fields-- S-Matrix Theory
Relativistic Scattering Theory-- (1992-)
662230 -- Quantum Chromodynamics-- (1992-)
662340* -- Hadron Interactions-- (1992-)
663110 -- General & Average Properties of Nuclei & Nuclear Energy Levels-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYON-BARYON INTERACTIONS
BOSONS
CORRELATION FUNCTIONS
DIMENSIONS
ELEMENTARY PARTICLES
EQUATIONS
EXPECTATION VALUE
FERMIONS
FIELD OPERATORS
FIELD THEORIES
FUNCTIONS
GLUONS
HADRON-HADRON INTERACTIONS
INTERACTIONS
LENGTH
MATHEMATICAL OPERATORS
MATTER
NUCLEAR MATTER
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUARKS
SCATTERING LENGTHS
SUM RULES