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Chapter III. Binding Energy of the Alpha Particle
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1974
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Chapter IiiEngineeringNuclear PhysicsPhysicsAtms MethodNatural SciencesHigh-energy Nuclear ReactionParticle PhysicsApplied PhysicsAtomic PhysicsWeak InteractionVariational CalculationsNon-perturbative QcdComputational ChemistryLepton-nucleon ScatteringQuantum ChemistryHigh Temperature QcdAlpha Particle
Variational calculations of the alpha particle are made with the Hamada-Johnston (H-J) potential and the Tamagaki (OPEH and OPEG) potentials. The realistic wave function is easily constructed by a natural extension of the ATMS method, which is successful in the three-nucleon problem, to the four-nucleon system. The wave function involves only a few parameters. Numerical integrations of the upper-bound energy are carried out by means of the quasi-random number (QRN) method. The Monte Carlo method is also adopted for the purpose of an accuracy check of QRN. Values by both methods are in good agreement with each other. Total energies obtained as the upper bound are −20.6 MeV, −23.3 MeV and −22.5 MeV for H-J, OPEH and OPEG, respectively. The physical picture in ATMS is valid for the alpha particle as well as the triton. The tensor force in the triplet-even state brings a considerable energy to the system. This comes from the characteristic of ATMS that the D-state wave function is not of a simple Jastrow's type but of a multiple scattering one.