INFORMATION CONTENT OF THE GAMOW TELLER RESONANCE：

林子都（Zidu Lin）

IFCEN, Sun Yat-sen University

@ IWND2026, 8/24/2026

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Collaborators: G. Colo (INFN), A. W. Steiner (UTK), A. Stinson (UTK)

BAYESIAN INFERENCE WITH SELF-CONSISTENT SKYRME MODELS

arXiv:2506.05564

Learn SOMETHING from nuclei about the neutron stars

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Learn iso-spin dependent forces from nuclei about the neutron stars

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Learn spin dependent forces from nuclei about the neutron stars

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Fermi Surface

Holes

Particles

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NS:

Nuclei:

THE GT TRANSITION IN NS AND NUCLEI

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Bertsch, NPA 354(1981)157c-172c

Brown and Rho, NPA 372(1981)397-417

Figure Credit to YF Niu

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NS:

Nuclei:

THE GT TRANSITION IN NS AND NUCLEI

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A schematic determination:

Unperturbed excitation energy

Spin-orbit splitting

Residual (particle-hole) interaction

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NS:

Nuclei:

THE GT TRANSITION IN NS AND NUCLEI

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A schematic determination:

There is not an underlying nuclear force consistent with all these 3 quantities

The residual interaction is assumed to be density-independent

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NS:

Nuclei:

THE GT TRANSITION IN NS AND NUCLEI

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Ground state properties

GTR properties

NS properties

Experimental constraints (Ground state)

Experimental constraints (GTR)

Experimental constraints

(NS)

Weak interaction in NSs

Self-consistent

Bayesian Inference

Experimental GT spectrum

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But GTR is a resonance mainly happening @ surface of the nuclei

No GT

constraints

With GT constraints

Consistent with PREX-CREX Bayesian analysis:

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Neutrino opacity in NSs

Iso-vector spin-orbit interactions

Pion condensation in NSs

PRR 7 (4), 043335 TZ,ZL,BK,AS,MP; Sci.Bull. 71 (2026) 1270-1272 TY, ZZ, LC

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ZL, AWS, JM

Physical Review C 107 (1), 015804

Thanks!

Backup

Solving for RPA equations

E. S. Hernandez, J. Navarro, and A. Polls, Nucl. Phys. A 658, 327 (1999).

J. Margueron, J. Navarro, and N. Van Giai, Phys. Rev. C 74, 015805 (2006)