-Like quartetting in the excited states of proton-neutron pairing Hamiltonians

M. Sambataro (Istituto Nazionale di Fisica Nucleare - Sezione di Catania, Catania, Italy) ; N. Sandulescu (National Institute of Physics and Nuclear Engineering, Măgurele, Romania)

Previous studies have shown that the ground state of systems of nucleons composed by an equal number of protons and neutrons interacting via proton-neutron pairing forces can be described accurately by a condensate of α-like quartets. Here we extend these studies to the low-lowing excited states of these systems and show that these states can be accurately described by breaking a quartet from the ground state condensate and replacing it with an “excited” quartet. This approach, which is analogous to the one-broken-pair approximation employed for like-particle pairing, is analyzed for various isovector and isovector-isoscalar pairing Hamiltonians which can be solved exactly by diagonalization.

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      "title": "-Like quartetting in the excited states of proton-neutron pairing Hamiltonians"
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      "value": "Previous studies have shown that the ground state of systems of nucleons composed by an equal number of protons and neutrons interacting via proton-neutron pairing forces can be described accurately by a condensate of \u03b1-like quartets. Here we extend these studies to the low-lowing excited states of these systems and show that these states can be accurately described by breaking a quartet from the ground state condensate and replacing it with an \u201cexcited\u201d quartet. This approach, which is analogous to the one-broken-pair approximation employed for like-particle pairing, is analyzed for various isovector and isovector-isoscalar pairing Hamiltonians which can be solved exactly by diagonalization."
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Published on:
29 June 2021
Publisher:
Elsevier
Published in:
Physics Letters B , Volume 820 C (2021)

Article ID: 136476
DOI:
https://doi.org/10.1016/j.physletb.2021.136476
Copyrights:
The Authors
Licence:
CC-BY-3.0

Fulltext files: