Finding spin and parity from nuclear reactions

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SUMMARY

The discussion focuses on determining the spin, parity, and isospin of the second excited state of the {}^{10}B nucleus, specifically at an excitation energy of 1.74 MeV. It is established that this state can be excited through reactions involving {}^{7}Li(\alpha,\ n), {}^{9}Be(d,\ n), {}^{9}Be({}^{3}He,\ d), and {}^{11}B(p,\ d), while it is not observable in reactions such as {}^{6}Li({}^{6}Li,\ d), {}^{12}C(d,\ \alpha), and {}^{14}N(d,{}^{6}Li). The shell model has been previously used to find the spin and parity for the ground and first excited states, but no direct method is provided for the second excited state.

PREREQUISITES
  • Understanding of nuclear reactions and their mechanisms
  • Familiarity with the shell model in nuclear physics
  • Knowledge of spin, parity, and isospin concepts
  • Basic principles of nuclear structure and energy levels
NEXT STEPS
  • Research the application of the shell model to excited states in nuclear physics
  • Study the specific nuclear reactions mentioned and their implications on spin and parity
  • Explore advanced techniques for determining nuclear properties from reaction data
  • Investigate the role of isospin in nuclear reactions and its impact on excited states
USEFUL FOR

Nuclear physicists, students studying nuclear reactions, and researchers interested in the properties of excited nuclear states will benefit from this discussion.

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Homework Statement



Find spin, parity and isospin of second excited state of {}^{10}B nucleus, if we know that the second excited state (at E_x=1.74 MeV) can intensively be excited with reactions: {}^{7}Li(\alpha,\ n),\ {}^{9}Be(d,\ n),\ {}^{9}Be({}^{3}He,\ d), {}^{11}B(p,\ d), and cannot be seen in reactions: {}^{6}Li({}^{6}Li,\ d),\ {}^{12}C(d,\ \alpha),\ {}^{14}N(d,{}^{6}Li).

Homework Equations



I have no idea how to possibly find the spin and parity of this state. I found for ground state and first excited state, spin, parity and isospin using shell model, but here I have no such recommendation.

Any ideas or help would be appreciated...


The Attempt at a Solution

 
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I have no idea how to possibly find the spin and parity of this state. I found for ground state and first excited state, spin, parity and isospin using shell model, but here I have no such recommendation.
 

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