Deduce nuclear level Jπ by combining constraints from feeding and deexciting gamma transitions using electromagnetic selection rules. Applies D/E2 rules to primary capture transitions, D/Q or D/E2 to deexciting gammas (lifetime-dependent), and takes AND intersection of all constraints. Handles multi-valued initial Jπ via union before intersection.
Deduce the Jπ of a level by combining constraints from:
| Transition Type | Apply | Condition |
|---|---|---|
| Primary feeding γ (from resonances) | D or E2 | Always |
| Deexciting γ (decay to lower levels) |
| Long or unknown lifetime |
| Deexciting γ (decay to lower levels) | D or E2 | Short lifetime (RUL applies: M2 ruled out) |
Note: Primary γ = capture transition from neutron/proton resonance
FOR each feeding γ:
Apply D or E2 selection rules
IF feeding level has multi-valued Jπ (e.g., 1/2+,3/2+):
Calculate allowed Jπ for EACH value separately
Take OR (union) of results
ENDIF
ENDFOR
FOR each deexciting γ:
IF lifetime is short (RUL applies):
Apply D or E2 selection rules
ELSE:
Apply D or Q selection rules
ENDIF
ENDFOR
Take AND (intersection) of ALL constraints above
RESULT: Common Jπ values → Put in parentheses to indicate tentative assignment
Parentheses in ENSDF denote tentative assignments based on assumed multipolarities
Fed by primary γ from 7/2- (D or E2): 3/2-, 5/2±, 7/2±, 9/2±, 11/2-
Fed by primary γ from 7/2+ (D or E2): 3/2+, 5/2±, 7/2±, 9/2±, 11/2+
Fed by primary γ from 5/2+ (D or E2): 1/2+, 3/2±, 5/2±, 7/2±, 9/2+
AND: 5/2±, 7/2±, 9/2+
Adopted: (5/2±, 7/2±, 9/2+)
Fed by primary γ (D or E2): 1/2-, 3/2±, 5/2±, 7/2±, 9/2-
Decay γ to 1/2+ (D or E2): 1/2±, 3/2±, 5/2+
Decay γ to 5/2+ (D or E2): 1/2+, 3/2±, 5/2±, 7/2±, 9/2+
AND: 3/2±, 5/2+
Adopted: (3/2±, 5/2+)
Fed by primary γ (D or E2): 3/2+, 5/2±, 7/2±, 9/2±, 11/2+
Decay γ to 5/2+ (D or Q): 1/2±, 3/2±, 5/2±, 7/2±, 9/2±
AND: 3/2+, 5/2±, 7/2±, 9/2±
Adopted: (3/2+, 5/2±, 7/2±, 9/2±)
Fed by primary γ from 1/2+,3/2+ (D or E2):
Decay γ to 1/2+ (D or E2): 1/2±, 3/2±, 5/2+
Decay γ to 3/2+ (D or E2): 1/2±, 3/2±, 5/2±, 7/2+
AND: 1/2±, 3/2±
Adopted: (1/2,3/2)
Note: When initial level has multiple J-π values (e.g., 1/2+,3/2+), calculate allowed final states for EACH initial value separately, then take OR (union) before applying AND with other constraints.