Calculated Event Rates for Axion Detection via Atomic and Nuclear Processes

Table 1

Isoscalar and isovector spin-dependent matrix elements of ¹²⁷I from ground () to excited states up to to the axion energy of 5.5 MeV, which are relevant for axion photoproduction. We also include the total nuclear matrix elements ME², including that of the spin-independent matrix elements entering in the coherent mode, which contain the factor related to the photon energy, and the corresponding cross sections.

(MeV)
0 (coherent)				4000	18714
0.0000	1.0056	0.4140	0.6452	0.8042	3.217
0.1800	0.1076	0.1243	0.1157	0.1326	0.480
0.3120	0.0194	0.0583	0.0336	0.0417	0.140
0.3150	0.0007	0.0212	-0.0038	0.0064	0.022
0.3750	0.0472	0.0314	0.0385	0.0452	0.146
0.3830	0.0023	0.0194	0.0067	0.0105	0.034
0.6490	0.0029	0.0198	-0.0076	0.0054	0.015
0.6600	0.0567	0.0481	0.0523	0.0603	0.164
0.8160	0.0241	0.0996	0.0490	0.0643	0.159
0.8340	0.0793	0.1188	0.0970	0.1120	0.274
0.8610	0.0753	0.0135	0.0319	0.0477	0.114
0.9290	0.0000	0.0001	0.0000	0.0001	0.000
0.9780	0.3952	0.3163	0.3536	0.4094	0.910
1.0440	0.0630	0.0523	0.0574	0.0663	0.141
1.1570	0.0364	0.0167	0.0247	0.0302	0.060
1.1700	0.0006	0.0006	0.0006	0.0007	0.001
1.1930	0.0026	0.0562	-0.0121	0.0166	0.032
1.2790	0.0121	0.0112	0.0117	0.0134	0.024
1.3660	0.0248	0.0093	0.0152	0.0192	0.033
1.3910	0.0029	0.0007	0.0014	0.0020	0.003
1.4780	0.0019	0.0859	0.0127	0.0365	0.057
1.6380	0.0004	0.0035	-0.0012	0.0010	0.001
1.6780	0.0005	0.0100	0.0022	0.0046	0.006
1.7610	0.0008	0.0055	0.0021	0.0031	0.004
1.9370	0.0003	0.0019	-0.0008	0.0005	0.001
1.9650	0.0006	0.0047	-0.0017	0.0013	0.001
2.1040	0.0164	0.0202	0.0182	0.0209	0.020
2.2370	0.0013	0.0097	-0.0035	0.0027	0.002
2.3140	0.0001	0.0002	0.0002	0.0002	0.000
2.4280	0.0054	0.0036	0.0044	0.0052	0.004
2.6030	0.0004	0.0002	0.0003	0.0004	0.000
2.6650	0.0030	0.0001	-0.0005	0.0011	0.001
2.7420	0.0007	0.0002	0.0004	0.0005	0.000
3.0070	0.0003	0.0005	0.0004	0.0004	0.000
3.0620	0.0003	0.0000	-0.0001	0.0001	0.000
3.1740	0.0019	0.0009	0.0013	0.0016	0.000
3.4440	0.0002	0.0001	0.0001	0.0002	0.000
3.4890	0.0002	0.0000	0.0001	0.0001	0.000
3.6020	0.0040	0.0009	0.0019	0.0027	0.000
3.9230	0.0001	0.0004	-0.0002	0.0001	0.000
3.9680	0.0000	0.0002	-0.0000	0.0001	0.000
4.0600	0.0001	0.0002	-0.0001	0.0001	0.000
4.4340	0.0004	0.0000	0.0001	0.0002	0.000
4.4560	0.0003	0.0000	0.0001	0.0001	0.000
4.5550	0.0008	0.0002	0.0004	0.0005	0.000
4.9430	0.0001	0.0000	0.0000	0.0001	0.000
4.9570	0.0000	0.0000	-0.0000	0.0000	0.000
5.0370	0.0003	0.0000	0.0001	0.0002	0.000
5.4340	0.0003	0.0000	0.0001	0.0002	0.000
5.4730	0.0000	0.0000	-0.0000	0.0000	0.000