Study of nuclear charge radius

Ying-Yu Cao; Jian-You Guo

doi:10.7498/aps.69.20191643

Journals >Acta Physica Sinica >Volume 69 >Issue 16 >Page 162101-1 > Article

Acta Physica Sinica
Vol. 69, Issue 16, 162101-1 (2020)

Study of nuclear charge radius

Ying-Yu Cao and Jian-You Guo^*

Author Affiliations

School of Physics and Materials Science, Anhui University, Hefei 230601, China

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DOI: 10.7498/aps.69.20191643 Cite this Article

Ying-Yu Cao, Jian-You Guo. Study of nuclear charge radius[J]. Acta Physica Sinica, 2020, 69(16): 162101-1 Copy Citation Text

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Fig. 1. The fitting curve of the Eqs. (2) and (4).(The left picture is the fitting curve of the Eq. (2) and the right picture is the fitting curve of the Eq. (4))

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Fig. 2. The fitting curve of the Eq. (13).

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Fig. 3. The fitting curve of the Eq. (14).

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Fig. 4. The fitting curve of the Eq. (15).

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Fig. 5. The experimental values of the nuclear charge radii of Ba and Fr, Ho and Lu isotopic chains are compared with the theoretical values calculated by Eqs. (13)–(15).

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Fig. 6. The difference between the experimental value of 368 nuclear charge radii and the theoretical value calculated by Eqs. (13)–(15) , respectively.

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公式	参数	σ/fm
${R_{\rm c}} = {r_0}A^{1/3}$	r₀ = 1.2269 fm	σ = 0.1224
${R_{\rm c}} = {r_0}Z^{1/3}$	r₀ = 1.6394 fm	σ = 0.0939
${R_{\rm c}} = {r_0}\left( {1 - a\dfrac{ {N - Z} }{A} } \right){A^{1/3} }$	r₀ = 1.2827 fm, a = 0.2700	σ = 0.0855
${R_{\rm c}} = {r_0}\left( {1 - a\dfrac{ {N - Z} }{A} + b\dfrac{1}{A} } \right){A^{1/3} }$	r₀ = 1.2331 fm, a = 0.1461, b = 2.3301	σ = 0.0510
${R_{\rm c}} = {r_0}\left( {1 + a\dfrac{ {N - {N^*} } }{Z} } \right){Z^{1/3} }$	r₀ = 1.6312 fm, a = 0.0627	σ = 0.0618
${R_{\rm c}} = {r_0}\left( {1 - a\dfrac{ {N - Z} }{A} + b\dfrac{1}{A} + c\dfrac{ { {Q^*} } }{A} } \right){A^{1/3} }$	r₀ = 1.2221 fm, a = 0.1350, b = 2.4698, c = 0.8976	σ = 0.0397
${R_{\rm c}} = {r_0}\left( {1 - a\dfrac{ {N - Z} }{A} + b\dfrac{1}{A} + c\dfrac{ {Q_0^*} }{A} } \right){A^{1/3} }$	r₀ = 1.2220 fm, a = 0.1410, b = 2.4200, c = 0.3643	σ = 0.0372
${R_{\rm c}} = {r_0}\left( {1 - a\dfrac{ {N - Z} }{A} + b\dfrac{1}{A} + c\dfrac{ {Q_0^*} }{A} + d\dfrac{\delta }{A} } \right){A^{1/3} }$	r₀ = 1.2223 fm, a = 0.1421, b = 2.4577, c = 0.3660 d = 0.1705	σ = 0.0369

Table 1. The mentioned equations for nuclear charge radius

Ying-Yu Cao, Jian-You Guo. Study of nuclear charge radius[J]. Acta Physica Sinica, 2020, 69(16): 162101-1

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