Systematic study of proton-neutron pairing correlations in the nuclear shell model

Lei, Y.; P̧ittel, S.; Sandulescu, N.; Poves, A.; Thakur, B.; Zhao, Y. M.

doi:10.1103/physrevc.84.044318

Cited by 21 publications

(30 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Due to the mixed nature of the quartets, Eq. (6), the QM ground state (7) contains an isovector component |iv = (13) and, for N Q > 1, a mixed component with both isovector and isoscalar quartets. As all these components are not orthogonal to each other, it is not trivial to analyze their competition in the ground state.…”

Section: Resultsmentioning

confidence: 99%

Isoscalar and isovector pairing in a formalism of quartets

2015

Self Cite

View full text Add to dashboard Cite

Isoscalar (T=0,J=1) and isovector (T=1,J=0) pairing correlations in the ground state of self-conjugate nuclei are treated in terms of alpha-like quartets built by two protons and two neutrons coupled to total isospin T=0 and total angular momentum J=0. Quartets are constructed dynamically via an iterative variational procedure and the ground state is represented as a product of such quartets. It is shown that the quartet formalism describes accurately the ground state energies of realistic isovector plus isoscalar pairing Hamiltonians in nuclei with valence particles outside the 16O, 40Ca and 100Sn cores. Within the quartet formalism we analyse the competition between isovector and isoscalar pairing correlations and find that for nuclei with the valence nucleons above the cores 40Ca and 100Sn the isovector correlations account for the largest fraction of the total pairing correlations. This is not the case for sd-shell nuclei for which isoscalar correlations prevail. Contrary to many mean-field studies, isovector and isoscalar pairing correlations mix significantly in the quartet approach.Comment: 13 page

show abstract

Section: Resultsmentioning

confidence: 99%

Isoscalar and isovector pairing in a formalism of quartets

2015

Self Cite

View full text Add to dashboard Cite

show abstract

“…(10,11), expressed in terms of collective pairs. One can notice that QCM describes less well the pairing correlations energies as compared to QCM.…”

Section: Omentioning

confidence: 99%

“…The SU(4) pairing model is, however, not realistic enough because it neglects the role played by the spin-orbit force, which is crucial for the description of atomic nuclei. Various studies have shown that the spin-orbit force strongly hinders the proton-neutron pairing correlations in the ground and excited states of N = Z nuclei [10][11][12]. Yet, the majority of these studies do not discuss the types of correlations induced by the proton-neutron pairing in the presence of spin-orbit interaction.…”

Section: Introductionmentioning

confidence: 99%

Isoscalar-isovector proton-neutron pairing and quartet condensation inN=Znuclei

Sambataro

Sandulescu

2016

Phys. Rev. C

Self Cite

View full text Add to dashboard Cite

We show that the correlations generated in the ground state of N = Z nuclei by the isovector and isoscalar pairing forces can be treated with high precision as a condensate of alpha-like quartets. To treat these correlations, the quartet condensation model (QCM) is extended to the treatment of spherically symmetric isovector (T = 1, J = 0) and isoscalar (T = 0, J = 1) pairing forces . Within QCM we discuss the competition between T = 1 and T = 0 pairing correlations in the case of a two-level model and for N = Z nuclei with nucleons moving in the open shells above 16 O, 40 Ca and 100 Sn. We show that in N = Z systems isovector and isoscalar proton-neutron pairing correlations always coexist.

show abstract

“…Among the most important degrees of freedom which compete with the pairing in N=Z nuclei are the quadrupole ones. It has been shown that a simplified model Hamiltonian which includes only the isovector pairing interaction and a quadrupolequadrupole force is able to give a realistic description of the essential features of N=Z nuclei [26,27] In the mean field version of this model the quadrupole degrees of freedom are commonly included in a deformed mean field and the isovector pairing is treated in the single-particle basis corresponding to it (e.g., see [28]) In what follows we use this framework to analyze the quartet correlations in deformed N=Z nuclei. As an illustration we consider the same nuclei shown in Table 1.…”

mentioning

confidence: 99%

Quartet condensation and isovector pairing correlations inN=Znuclei

et al. 2012

Self Cite

View full text Add to dashboard Cite

We propose a simple quartet condensation model (QCM) which describes with very high accuracy the isovector pairing correlations in self-conjugate nuclei. The quartets have an alpha-like structure and are formed by collective isovector pairs. The accuracy of the QCM is tested for N=Z nuclei for which exact shell model diagonalizations can be performed. The calculations are done with two isovector pairing forces, one extracted from standard shell model interactions and the other of seniority type, acting, respectively, upon spherical and axially-deformed single-particle states. It is shown that for all calculated nuclei the QCM gives very accurate values for the pairing correlations energies, with errors which do not exceed 1%. These results show clearly that the correlations induced by the isovector pairing in self-conjugate nuclei are of quartet type and also indicate that QCM is the proper tool to calculate the isovector proton-neutron correlations in mean field pairing models.

show abstract

Systematic study of proton-neutron pairing correlations in the nuclear shell model

Cited by 21 publications

References 10 publications

Isoscalar and isovector pairing in a formalism of quartets

Isoscalar and isovector pairing in a formalism of quartets

Isoscalar-isovector proton-neutron pairing and quartet condensation inN=Znuclei

Quartet condensation and isovector pairing correlations inN=Znuclei

Contact Info

Product

Resources

About