Four-body calculation of the first excited state of4He using a realistic NN interaction: 4He(e,e′)4He(0 2+) and the monopole sum rule

E. Hiyama, B. F. Gibson, M. Kamimura

Research output: Contribution to journalArticle

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Abstract

4He possesses a second 0+ state; the transition form factor has been measured via inelastic electron scattering. The nature of the 02+ state's spatial structure has been controversial. An accurate four-nucleon calculation utilizing a realistic NN force (Argonne V8′) plus phenomenological NNN three-body force has been performed for both the 4He ground state and second 0+ state (E x = 20.21 MeV) using the Gaussian expansion method. The calculated one-body densities and transition density show a significant difference between the states. The resulting impulse approximation transition form factor 4He(e,e′) He(02+) agrees with the available data. The overlap of the 02+ wave function with the trinucleon ground state suggests that the structure is primarily a loosely bound 3N+N system and not a breathing mode. It is found that a major part of the energy-weighted E0 sum rule value is exhausted by nonresonant, low-energy continuum states other than the second 0+ state, in contrast to heavier nuclei where a dominant fraction of the sum-rule limit is exhausted by the second 0+ state because it corresponds to a collective, breathing mode.

Original languageEnglish
Article number031001
Pages (from-to)310011-310015
Number of pages5
JournalPhysical Review C - Nuclear Physics
Volume70
Issue number3
DOIs
Publication statusPublished - Sep 2004
Externally publishedYes

Fingerprint

monopoles
sum rules
breathing
form factors
excitation
ground state
interactions
heavy nuclei
impulses
electron scattering
inelastic scattering
wave functions
continuums
expansion
energy
approximation

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

Four-body calculation of the first excited state of4He using a realistic NN interaction : 4He(e,e′)4He(0 2+) and the monopole sum rule. / Hiyama, E.; Gibson, B. F.; Kamimura, M.

In: Physical Review C - Nuclear Physics, Vol. 70, No. 3, 031001, 09.2004, p. 310011-310015.

Research output: Contribution to journalArticle

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