Effective interactions in nuclei

Kirson, Michael W.

doi:10.1007/3-540-06554-7_3

Cited by 2 publications

(3 citation statements)

References 9 publications

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“…This method is used in Ref. [36]. It is well known that mirror nuclei are pairs of nuclei with same mass number A, but with Z 1 = N 2 and Z 2 = N 1 , i.e.…”

Section: Coulomb Energy Coefficientsmentioning

confidence: 99%

Effect of Coulomb energy on the symmetry energy coefficients of finite nuclei

et al. 2014

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The nuclear symmetry energy coefficients of finite nuclei are extracted by using the differences between the masses of isobaric nuclei. Based on the masses of more than 2400 nuclei with A = 9 − 270, we investigate the model dependence in the extraction of symmetry energy coefficient. We find that the extraction of the symmetry energy coefficients is strongly correlated with the forms of the Coulomb energy and the mass dependence of the symmetry energy coefficient adopted. The values of the extracted symmetry energy coefficients increase by about 2 MeV for heavy nuclei when the Coulomb correction term is involved. We obtain the bulk symmetry energy coefficient S 0 = 28.26 ± 1.3 MeV and the surface-to-volume ratio κ = 1.26 ± 0.25 MeV if assuming the mass dependence of symmetry energy coefficient a sym (A) = S 0 (1 − κ/A 1/3 ), and S 0 = 32.80 ± 1.7 MeV, κ = 2.82 ± 0.57 MeV when a sym (A) = S 0 (1 + κ/A 1/3 ) −1 is adopted.

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“…This method is used in Ref. [36]. It is well known that mirror nuclei are pairs of nuclei with same mass number A, but with Z 1 = N 2 and Z 2 = N 1 , i.e.…”

Section: Coulomb Energy Coefficientsmentioning

confidence: 99%

Effect of Coulomb energy on the symmetry energy coefficients of finite nuclei

et al. 2014

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“…Hence, the concrete form of the A coefficients is unimportant for our forthcoming considerations; in Section 4 these coefficients will be specified for diatomic molecules. The rotation-vibration energies are obtained as the eigenvalues of the Schrodinger equation HIT) = EIW 7 (13) where the total Hamiltonian is defined in entire Hilbert space with the unity operator (9). An eigenfunction 19) of (13) can be expressed as a linear combination of the unperturbed state vectors (7) IT) = C C cn,jmln;jm) 7 (14a)…”

Section: Rotation-vibration Hamiltonianmentioning

confidence: 99%

“…In order to obtain the eigensystem of the infinite dimensional problem (13), an approximate method should be used. If we use the standard Ritz variational method, then we meet some difficulties originating from the diagonalization of a hermitian matrix of enormous dimensionality.…”

Section: Rotation-vibration Hamiltonianmentioning

confidence: 99%

A many‐body diagrammatic theory of rotation–vibration spectra

Biskupič¹,

Kvasnička²

1989

Int J of Quantum Chemistry

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A many-body diagrammatic perturbation theory of rotation-vibration spectra is elaborated. The present approach is based on two many-body techniques, namely on the second quantization formalism (a rotating-vibrating molecule is formally treated here as a system of interacting vibrons, obeying the Bose-Einstein statistics) and the many-body diagrammatic theory of a model Hamiltonian, initially suggested in the microscopic theory of nuclei and in the last decade very frequently exploited in the accounting for the correlation effects in many electron systems. In the framework of this theory, the rotation-vibration energies are determined as the eigenvalues of a finite-dimensional model eigenproblem.

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Effective interactions in nuclei

Cited by 2 publications

References 9 publications

Effect of Coulomb energy on the symmetry energy coefficients of finite nuclei

Effect of Coulomb energy on the symmetry energy coefficients of finite nuclei

A many‐body diagrammatic theory of rotation–vibration spectra

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