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基于SIC-X的较为严格的计算方法,对于Rydberg电子态的交换参数采用自洽场模型 计算核极化,结果比文献[15]的计算方法要精确.另外文献[15]在计算P238U的能级跃迁时, 模型还不够完善,存在着难以克服的弊端,计算结果也不可能准确. 20世纪70年代初, Batty就进行强相互作用势模型的研究,经过二十几次不断探索与改进, 在1997-2000年给出了光学模型势的正确形式.对Rydberg电子态的交换参数采用自洽场模型 计算核极化,用以修正Batty光学模型势下的P238U能级跃迁, 得到反质子原子的相应能级.结果与实验数据相当符合.连同-, K-, -, -原子的情况支持了Batty光学模型势在 描写核子间强相互作用的正确性,同时也表明计算核极化的方法是正确的, 为反粒子原子及奇特原子的深入研究及应用提供了理论依据.According to SIC-X, a more rigorous calculating method, we propose a self-consistent field mode with the Rydberg exchange parameters. Using this method to calculate nuclear polarization, the result is more accurate than that given by Chen et al. Besides, when they calculated P238U energy level transition, their model is likely to be imperfect and maybe has some defects that are hard to overcome. And their result is likely to be inaccurate. In the early 70s of 20th century, Batty performed the exploration of optical model potential, and after more than twenty times of exploring and improving, he finally presented a correct form of optical model potential. When a self-consistent field model for Rydberg exchange parameters is used to calculate nuclear polarization, we use this method to correct Batty's nuclear polarization under optical model potential and the P238U energy level transition. We obtain the energy levels of antiproton atoms. The result is exactly the same as the experimental result. This result together with the case of -, K-, - and - atoms supports the correctness of optical model potential of Batty's description of the strong interaction between nucleons. At the same time, it also shows the correctness of the method of calculating nuclear polarization. It provides a theoretical basis for further study and application of antiparticle atoms and exoticac atoms.
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Keywords:
- antiproton atoms /
- optical model potential of Batty /
- Rydberg electrons /
- nuclear polarization
[1] Friedmn E, Gal A 1980 Nucl. Phys. A 345 457
[2] Friedman E, Gal A, Batty C J 1993 Phys. Lett. B 208 6
[3] Batty C J 1995 Nucl. Phys. A 585 229
[4] Friedman E 1998 Nucl. Phys. A 639 511
[5] Noumi H 2003 Nucl. Phys. A 721 995c
[6] Toki H, Hirenzakki S, Yamazaki T, Hayano R S 1989 Nucl. Phys. A 501 653
[7] Batty C J, Friedman E, Gal A 1999 Phys. Rev. C 59 295
[8] Wang B Z, Fang M, Li J X 2010 J. Ningxia Univ. (Nat. Sci. Ed.) 31 35 (in Chinese) [王炳章, 方明, 李金鑫 2010 宁夏大学学报(自然科学版) 31 35]
[9] Wiese W L 1978 Progress in Atomic Spectroscopy Part B (New York and London: Plenum Press) p1101
[10] Tanaka Y, Horikawa Y 1994 Nucl. Phys. A 580 291
[11] Pershin Y V 2004 Phys. Rev. B 69 085314
[12] Wang B Z, You Y M, Wang J Y 2011 J. Ningxia Univ. (Nat. Sci. Ed.) 32 30 (in Chinese) [王炳章, 游阳明, 张学龙 2011 宁夏大学学报(自然科学版) 32 30]
[13] He L M, Wang B K, Jin Q Y 1994 J. East. Chin. Univ. Sci. Tech. 20 390 (in Chinese) [贺黎明, 王炳奎, 金乾元 1994 华东理工大学学报 20 390]
[14] Ericson T E O, Hüfner J 1972 Nucl. Phys. B 47 205
[15] Chen M Y, Asano Y, Cheng S C, Dugan G, Hu E, Lidofsky L, Patton W, Wu C S, Hughes V, Lu D 1975 Nucl. Phys. A 254 413
[16] Aguilar-Benitez M 1986 Phys. Lett. B 170 1
[17] Wayne Fullerton L, Rinker Jr G A 1976 Phys. Rev. A 13 1283
[18] Batty C J, Friedman E, Gal A 1995 Nucl. Phys. A 592 487
[19] Batty C J, Friedman E, Gal A 1997 Phys. Reports 287 385
[20] Perdew J P, Zunger A 1981 Phys. Rev. B 23 5048
[21] Cole L A, Perdew J P 1982 Phys. Rev. A 25 1265
[22] He L M, Lu H, Yang Y 2002 Chin. J. At. Mol. Phys. 19 316 (in Chinese) [贺黎明, 陆慧, 杨越 2002 原子与分子物理学报 19 316]
[23] Johnson W R, Kolb D, Huang G K N 1983 Atomic Data and Nuclear Data Tables 28 333
[24] Migdalek J, Kim Y K 1998 J. Phys. B: At. Mol. Opt. Phys. 31 1947
[25] He L M, Yang Y, Lu H 2003 Acta Phys. Sin. 52 1385 (in Chinese) [贺黎明, 杨樾, 陆慧 2003 物理学报 52 1385]
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[1] Friedmn E, Gal A 1980 Nucl. Phys. A 345 457
[2] Friedman E, Gal A, Batty C J 1993 Phys. Lett. B 208 6
[3] Batty C J 1995 Nucl. Phys. A 585 229
[4] Friedman E 1998 Nucl. Phys. A 639 511
[5] Noumi H 2003 Nucl. Phys. A 721 995c
[6] Toki H, Hirenzakki S, Yamazaki T, Hayano R S 1989 Nucl. Phys. A 501 653
[7] Batty C J, Friedman E, Gal A 1999 Phys. Rev. C 59 295
[8] Wang B Z, Fang M, Li J X 2010 J. Ningxia Univ. (Nat. Sci. Ed.) 31 35 (in Chinese) [王炳章, 方明, 李金鑫 2010 宁夏大学学报(自然科学版) 31 35]
[9] Wiese W L 1978 Progress in Atomic Spectroscopy Part B (New York and London: Plenum Press) p1101
[10] Tanaka Y, Horikawa Y 1994 Nucl. Phys. A 580 291
[11] Pershin Y V 2004 Phys. Rev. B 69 085314
[12] Wang B Z, You Y M, Wang J Y 2011 J. Ningxia Univ. (Nat. Sci. Ed.) 32 30 (in Chinese) [王炳章, 游阳明, 张学龙 2011 宁夏大学学报(自然科学版) 32 30]
[13] He L M, Wang B K, Jin Q Y 1994 J. East. Chin. Univ. Sci. Tech. 20 390 (in Chinese) [贺黎明, 王炳奎, 金乾元 1994 华东理工大学学报 20 390]
[14] Ericson T E O, Hüfner J 1972 Nucl. Phys. B 47 205
[15] Chen M Y, Asano Y, Cheng S C, Dugan G, Hu E, Lidofsky L, Patton W, Wu C S, Hughes V, Lu D 1975 Nucl. Phys. A 254 413
[16] Aguilar-Benitez M 1986 Phys. Lett. B 170 1
[17] Wayne Fullerton L, Rinker Jr G A 1976 Phys. Rev. A 13 1283
[18] Batty C J, Friedman E, Gal A 1995 Nucl. Phys. A 592 487
[19] Batty C J, Friedman E, Gal A 1997 Phys. Reports 287 385
[20] Perdew J P, Zunger A 1981 Phys. Rev. B 23 5048
[21] Cole L A, Perdew J P 1982 Phys. Rev. A 25 1265
[22] He L M, Lu H, Yang Y 2002 Chin. J. At. Mol. Phys. 19 316 (in Chinese) [贺黎明, 陆慧, 杨越 2002 原子与分子物理学报 19 316]
[23] Johnson W R, Kolb D, Huang G K N 1983 Atomic Data and Nuclear Data Tables 28 333
[24] Migdalek J, Kim Y K 1998 J. Phys. B: At. Mol. Opt. Phys. 31 1947
[25] He L M, Yang Y, Lu H 2003 Acta Phys. Sin. 52 1385 (in Chinese) [贺黎明, 杨樾, 陆慧 2003 物理学报 52 1385]
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