Isoscalar and isovector pairing in a formalism of quartets

Sambataro, M.; Sandulescu, N.; Johnson, Calvin W.

doi:10.1016/j.physletb.2014.11.036

Cited by 38 publications

(62 citation statements)

References 31 publications

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“…In Table II the QCM results are compared to the exact results and to the results of the QM approximation (18) presented in Ref. [17]. One can see that the QCM approximation, in which it is supposed that all quartets have the same structure, gives accurate results, comparable with the QM approximation.…”

Section: Omentioning

confidence: 67%

“…We have also shown that in the QCM approximation the correlations in the two pairing channels coexist for any admixture of isovector and isoscalar pairing forces, which confirms the findings of Refs. [17,19].…”

Section: Discussionmentioning

confidence: 99%

“…We notice that for all nuclei the pairing energies are significant in both channels. Ecorr E Finally we have applied the QCM approach to the most general spherically symmetric pairing Hamiltonian (17). In Table II we present the results of QCM calculations performed by employing in this Hamiltonian the same input as in Ref.…”

Section: Omentioning

confidence: 99%

“…In Table II we present the results of QCM calculations performed by employing in this Hamiltonian the same input as in Ref. [17]. Namely, the single-particle energies and the pairing interactions for the three sets of nuclei shown in Table II are extracted from the shell model forces, respectively USDB [24], KB3G [25] and G-matrix two-body force of Ref.…”

Section: Omentioning

confidence: 99%

“…Thus, for sd-shell nuclei the condensate of isoscalar proton-neutron pairs appears to be favorite with respect to the condensate of isovector pairs while the opposite is true in the other shells. On the other hand, from II: Results of various calculations for N = Z nuclei described by the Hamiltonian (17) . We show the correlations energies associated with the QCM state (4) and with the QCM approximations defined with the quartets (10-11), i.e., |QCM = (Q Table II one also sees that the approximation QCM T =1 , in which the isovector pairs are mixed together to form a state with good isospin, gives in sd-shell nuclei more binding than P BCS is .…”

Section: Omentioning

confidence: 99%

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

Sambataro

Sandulescu

2016

Phys. Rev. C

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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.

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Section: Omentioning

confidence: 67%

Section: Discussionmentioning

confidence: 99%

Section: Omentioning

confidence: 99%

Section: Omentioning

confidence: 99%

Section: Omentioning

confidence: 99%

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

Sambataro

Sandulescu

2016

Phys. Rev. C

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Pairing correlations and eigenvalues of two-body density matrix in atomic nuclei

Sambataro¹,

Sandulescu²

2020

Annals of Physics

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The quantum phases of superconductivity and superfluidity are characterised mathematically by the Yang concept of Off-Diagonal Long Range Order (ODLRO), related to the existence of a large eigenvalue of the density matrix. We analyse how the Yang criterion applies for various Hamiltonians commonly employed to describe superfluid-type correlations in atomic nuclei. For like-particle pairing Hamiltonians the behaviour of the largest eigenvalue of two-body density matrix shows a clear evidence for a transition between a normal to a paired phase. However, this is not the case for the isoscalar proton-neutron pairing interactions acting in self-conjugate nuclei.

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Proton–neutron pairing in N = Z nuclei: Quartetting versus pair condensation

2015

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The isoscalar proton-neutron pairing and isovector pairing, including both isovector proton-neutron pairing and like-particle pairing, are treated in a formalism which conserves exactly the particle number and the isospin. The formalism is designed for self-conjugate (N=Z) systems of nucleons moving in axially deformed mean fields and interacting through the most general isovector and isoscalar pairing interactions. The ground state of these systems is described by a superposition of two types of condensates, i.e., condensates of isovector quartets, built by two isovector pairs coupled to the total isospin T=0, and condensates of isoscalar proton-neutron pairs. The comparison with the exact solutions of realistic isovector-isoscalar pairing Hamiltonians shows that this ansatz for the ground state is able to describe with high precision the pairing correlation energies. It is also shown that, at variance with the majority of Hartree-Fock-Bogoliubov calculations, in the present formalism the isovector and isoscalar pairing correlations coexist for any pairing interactions. The competition between the isovector and isoscalar proton-neutron pairing correlations is studied for N=Z nuclei with the valence nucleons moving in the sd and pf shells and in the major shell above 100 Sn. We find that in these nuclei the isovector pairing prevail over the isoscalar pairing, especially for heavier nuclei.However, the isoscalar proton-neutron correlations are significant in all nuclei and they always coexist with the isovector pairing correlations.

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Isoscalar and isovector pairing in a formalism of quartets

Cited by 38 publications

References 31 publications

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

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

Pairing correlations and eigenvalues of two-body density matrix in atomic nuclei

Proton–neutron pairing in N = Z nuclei: Quartetting versus pair condensation

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