BINDING ENERGY OF A $lambda$-PARTICLE IN NUCLEAR MATTER AND THE $lambda$- NUCLEON INTERACTION

Journal Article · Mon Jan 13 04:00:00 EST 1964 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.133.B133· OSTI ID:4839975

Downs, B W; Ware, W E

The binding energy D of a LAMBDA -particle in nuclear matter is calculated with the independent-pair approximation for seven central two-body A- nucleon potentials. These potentials are consistent with the binding energy of / sub LAMBDA /He/sup 5/ and therefore represent the spin-averaged A-nucleon interaction in S states; they have hard cores of radius 0.4 F or 0.6 F and two- parameter attractive wells with ranges suggested by consideration of the two-pion- exchange mechanism. A simple approximation to the Bethe-Goldstone function is suggested; its use permits D and the partialwave contributions to D to be evaluated easily. When the S-wave A-nucleon potentials are assumed to be appropriate to all angular momentum states, the calculated values of D, corresponding to a nucleon density equal to the central density in heavy nuclei, are consistent with empirical estimates in the range 30-40 Mev for most of the potentials considered. If the correct value of D is close to 30 Mev, some reduction in the strength of the longer ranged potentials may be required in odd- parity states (at least in P states) to bring about agreement; for the shorter ranged potentials considered, no such reduction would be required. If the correct value of D is close to 40 Mev, odd-parity suppression would not be indicated even for the longer ranged potentials. The first three pahial-wave contributions to D, as well as D itself, are given for each potential, and the dependence of these on the hard-core radius and on the shape and range of the attractive well is discussed. (auth)

• Research Organization: Univ. of Colorado, Boulder
• NSA Number: NSA-18-006245
• OSTI ID: 4839975
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 133; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ANGULAR MOMENTUM
BETHE-GOLDSTONE EQUATION
BINDING ENERGY
BRUECKNER MODEL
CONFIGURATION
ENERGY LEVELS
EXCHANGE MODEL
HARD-CORE POTENTIAL
HELIUM 5
INTERACTIONS
LAMBDA PARTICLES
MANY BODY PROBLEM
MOMENTUM
NUCLEAR MODELS
NUCLEONS
NUMERICALS
PARITY
PHYSICS
REACTION KINETICS
SPIN
TWO PION EXCHANGE