# Understanding Magic Numbers in Neutron-Rich Nuclei by Tensor Blocking   Mechanism

**Authors:** I. Tanihata, H. Toki, S. Terashima, and H. -J. Ong

arXiv: 1907.07902 · 2019-07-19

## TL;DR

This paper introduces a new nuclear structure paradigm incorporating tensor blocking effects, explaining the emergence of new magic numbers in neutron-rich nuclei through enhanced energy gaps and configuration-dependent correlations.

## Contribution

It proposes a novel tensor blocking mechanism that accounts for recently observed magic numbers in neutron-rich nuclei, expanding understanding of nuclear shell evolution.

## Key findings

- Explains all recently discovered magic numbers (N=6, 14, 16, 32, 34).
- Shows tensor correlations depend on nucleon configuration space.
- Demonstrates tensor blocking causes sudden energy gap enlargements.

## Abstract

A new paradigm for nuclear structure that includes blocking effects of tensor interactions is proposed. All of the recently discovered magic numbers (N=6, 14, 16, 32 and 34) in neutron-rich nuclei can be explained by the blocking effects. A large amount of binding energy is gained by high-momentum correlated pairs of nucleons produced by the tensor interaction. Such tensor correlations strongly depend on the configuration space available for exciting nucleons to 2p-2h states. When additional neutrons occupy a new orbital, the previously available configuration may be lost, resulting in a sudden loss of binding energy otherwise gained by the 2p-2h excitations. Such tensor blocking effects enlarge the energy gaps at all observed new magic numbers. Tensor blocking also explains consistently the observed peculiar configurations of neutron-rich nuclei at the borders of shells.

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Source: https://tomesphere.com/paper/1907.07902