Connection between effective-range expansion and nuclear vertex constant or asymptotic normalization coefficient

Journal Article · Mon Aug 15 04:00:00 EDT 2011 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.84.024603· OSTI ID:21596667

Yarmukhamedov, R; Baye, D ^[1]

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1. Institute of Nuclear Physics, Uzbekistan Academy of Sciences, 100214 Tashkent (Uzbekistan)

Explicit relations between the effective-range expansion and the nuclear vertex constant or asymptotic normalization coefficient (ANC) for the virtual decay B{yields}A+a are derived for an arbitrary orbital momentum together with the corresponding location condition for the (A+a) bound-state energy. They are valid both for the charged case and for the neutral case. Combining these relations with the standard effective-range function up to order six makes it possible to reduce to two the number of free effective-range parameters if an ANC value is known from experiment. Values for the scattering length, effective range, and form parameter are determined in this way for the {sup 16}O+p, {alpha}+t, and {alpha}+{sup 3}He collisions in partial waves where a bound state exists by using available ANCs deduced from experiments. The resulting effective-range expansions for these collisions are valid up to energies larger than 5 MeV.

• OSTI ID: 21596667
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 2 Vol. 84; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ASYMPTOTIC SOLUTIONS
ATOM COLLISIONS
BARYONS
BOUND STATE
CHARGED PARTICLES
COLLISIONS
DECAY
DIMENSIONS
ELEMENTARY PARTICLES
ENERGY RANGE
EVEN-EVEN NUCLEI
EVEN-ODD NUCLEI
EXPANSION
FERMIONS
HADRONS
HELIUM 3
HELIUM ISOTOPES
ION COLLISIONS
ION-ATOM COLLISIONS
ISOTOPES
LENGTH
LIGHT NUCLEI
MATHEMATICAL SOLUTIONS
MEV RANGE
MEV RANGE 01-10
NUCLEAR DECAY
NUCLEI
NUCLEONS
OXYGEN 16
OXYGEN ISOTOPES
PARTIAL WAVES
PROTONS
SCATTERING LENGTHS
STABLE ISOTOPES
TRITONS