Structure of the Lightest Tin Isotopes.

Area of Science:

• Nuclear physics
• Quantum chromodynamics
• Hadron physics

Background:

• Doubly magic nuclei, such as ^{100}Sn, are crucial for understanding nuclear structure and the forces governing atomic nuclei.
• The heaviest N=Z doubly magic nucleus, ^{100}Sn, serves as a key test case for nuclear models.

Purpose of the Study:

• To investigate the nuclear structure of ^{100}Sn and ^{101}Sn.
• To link nuclear structure to nucleon-nucleon (NN) and three-nucleon (NNN) forces.
• To predict the quadrupole collectivity of ^{100}Sn and analyze excitations in ^{101}Sn.

Main Methods:

• Constraining nucleon-nucleon (NN) and three-nucleon (NNN) forces using data from few-nucleon systems.
• Performing precise computations of ^{101}Sn based on three-particle-two-hole excitations of ^{100}Sn.

Main Results:

• Confirmation that ^{100}Sn is doubly magic.
• Prediction of the quadrupole collectivity for ^{100}Sn.
• Accurate reproduction of the small energy splitting between the J^{π}=7/2^{+} and 5/2^{+} states in ^{101}Sn using a specific nuclear interaction.

Conclusions:

• The study validates the doubly magic nature of ^{100}Sn and provides insights into its collective behavior.
• The employed nuclear forces accurately describe the structure of nuclei around ^{100}Sn, including the detailed spectroscopy of ^{101}Sn.