Convergence of triton asymptotic wave function for hyperspherical harmonics expansion with two nucleon Reid soft core potential

Journal Article · Sat Oct 01 04:00:00 EDT 1994 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.50.2228· OSTI ID:6962427

Bhattacharyya, S; Das, T K ^[1]; Kanta, K P ^[2]; Ghosh, A K ^[3]

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1. Physics Department, Calcutta University, 92 A.P.C. Road, Calcutta 700009 (India)
2. Physics Department, Burdwan University, Burdwan 713104 (India)
3. Sainthia Avedananda Mahavidyalaya, Sainthia, Birbhum, W. B. (India)

The asymptotic normalization constants (ANC) [ital C][sub 0] and [ital C][sub 2] of the triton have been calculated by the hyperspherical harmonics expansion method with the Reid soft core potential (no three body force). The results do not agree with the corresponding calculations by the Faddeev method, when only a few hyperspherical partial waves are included. However Schneider's convergence theorems on hyperspherical expansion allow one to extrapolate the results for a large number of partial waves and then they agree fairly well with the Faddeev results. This indicates that even though the hyperspherical expansion for the asymptotic wave function is very slow, a convergent and reliable wave function is attained by extrapolation of a relatively small-sized calculation.

• OSTI ID: 6962427
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 50:4; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

663110* -- General & Average Properties of Nuclei & Nuclear Energy Levels-- (1992-)
663120 -- Nuclear Structure Models & Methods-- (1992-)
663510 -- Nuclear Mass Ranges-- A=1-5-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ASYMPTOTIC SOLUTIONS
CHARGED PARTICLES
CONVERGENCE
EQUATIONS
FADDEEV EQUATIONS
FUNCTIONS
MANY-BODY PROBLEM
NUCLEON-NUCLEON POTENTIAL
POTENTIALS
REID POTENTIAL
SPHERICAL HARMONICS
THREE-BODY PROBLEM
TRITONS
WAVE FUNCTIONS