Calculation of bound and scattering states for four nucleons

Journal Article · Sat Apr 01 04:00:00 EST 1995 · Bulletin of the American Physical Society

DOI:https://doi.org/10.1063/1.48116· OSTI ID:374767

Viviani, M ^[1]

---

1. Pisa Univ. (Italy)

The properties of the bound and scattering states of four nucleons are calculated with a realistic nuclear hamiltonian containing two-and three-nucleon potential terms. The method consists in expanding the wave function in terms of correlated Hyperspherical Harmonic functions and using suitable variational principles. The presence of correlations allows for an easy handling of the large repulsion contained in the nuclear potential at short distances. This method has been proved very accurate for the case of three nucleons. The calculated binding energy of the {alpha}-particle is in good agreement with the values obtained either by solving the Faddeev-Yakubovsky equations or using the Green-Function Monte-Carlo method, although small differences still remain to be understood. Results will be presented for the neutron + triton and proton +{sup 3}He scattering lengths, phase shifts, etc. The possibility of accurate calculations of four-nucleon scattering states makes feasible the study of the excited states of the {alpha}-particle and of the fusion reactions as, for example the d+d radiative capture reaction.

• Sponsoring Organization: USDOE
• OSTI ID: 374767
• Report Number(s): CONF-9304297--
• Journal Information: Bulletin of the American Physical Society, Journal Name: Bulletin of the American Physical Society Journal Issue: 2 Vol. 40; ISSN 0003-0503; ISSN BAPSA6
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BOUND STATE
FOUR-BODY PROBLEM
HELIUM 3 TARGET
NEUTRON REACTIONS
NUCLEONS
PROTON REACTIONS
SCATTERING
SCATTERING LENGTHS
TRITIUM TARGET