Polaronic neutron in dilute alpha matter: A $p$-wave Bose polaron
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arXiv
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| Format: | Preprint |
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2024
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| author | Tajima, Hiroyuki Moriya, Hajime Naito, Tomoya Horiuchi, Wataru Nakano, Eiji Iida, Kei |
| author_facet | Tajima, Hiroyuki Moriya, Hajime Naito, Tomoya Horiuchi, Wataru Nakano, Eiji Iida, Kei |
| contents | We theoretically investigate quasiparticle properties of a neutron immersed in an alpha condensate, which is one of the possible states of dilute symmetric nuclear matter. The resonant $p$-wave neutron-alpha scattering, which plays a crucial role in forming halo nuclei, is considered. This system is similar to a Bose polaron near the $p$-wave Feshbach resonance that can be realized in cold-atomic experiments. Calculating the self-energy within the field-theoretical approach, we give an analytical formula for the effective mass of a polaronic neutron as a function of alpha condensation density. Moreover, two adjacent neutrons in a medium, each of which behaves like a stable polaron having an enhanced effective mass, can form a bound dineutron, with the help of $^1S_0$ neutron-neutron attraction. This is in contrast to the case of the vacuum, where a dineutron is known to be unbound. Our result would be useful for understanding many-body physics in astrophysical environments as well as the formation of multi-nucleon clusters in neutron-halo nuclei. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_15043 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Polaronic neutron in dilute alpha matter: A $p$-wave Bose polaron Tajima, Hiroyuki Moriya, Hajime Naito, Tomoya Horiuchi, Wataru Nakano, Eiji Iida, Kei Nuclear Theory Quantum Gases Atomic Physics We theoretically investigate quasiparticle properties of a neutron immersed in an alpha condensate, which is one of the possible states of dilute symmetric nuclear matter. The resonant $p$-wave neutron-alpha scattering, which plays a crucial role in forming halo nuclei, is considered. This system is similar to a Bose polaron near the $p$-wave Feshbach resonance that can be realized in cold-atomic experiments. Calculating the self-energy within the field-theoretical approach, we give an analytical formula for the effective mass of a polaronic neutron as a function of alpha condensation density. Moreover, two adjacent neutrons in a medium, each of which behaves like a stable polaron having an enhanced effective mass, can form a bound dineutron, with the help of $^1S_0$ neutron-neutron attraction. This is in contrast to the case of the vacuum, where a dineutron is known to be unbound. Our result would be useful for understanding many-body physics in astrophysical environments as well as the formation of multi-nucleon clusters in neutron-halo nuclei. |
| title | Polaronic neutron in dilute alpha matter: A $p$-wave Bose polaron |
| topic | Nuclear Theory Quantum Gases Atomic Physics |
| url | https://arxiv.org/abs/2408.15043 |