use WOLFRAM ALPHA PROGRAM (a) On the same graph, plot the potentials Ve(r), Vy (r) and...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
use WOLFRAM ALPHA PROGRAM (a) On the same graph, plot the potentials Ve(r), Vy (r) and V(r) for 0.1 ≤r≤ 15 fm in a step size of 0.5 fm for the 160+154Sm reaction. In this case you need to write a short in any programming language of your choice to obtain the numerical values to plot. (b) Discuss the behavior of these three potentials. (c) As the nucleus nucleons increase, the nucleus becomes more unstable and therefore assuming a spherical shape for heavy nuclei is less realistic. In such case one has to take into account the deformation or vibration aspects. Suppose that in the 160+154Sm reaction only the target is deformed. Therefore, the nuclear potential becomes VN (r,0) = where is the deformation angle, ₂: 0.306 and ₁ 0.05 are the deformation parameters, and Y20(8), Y40 (0) are spherical harmonics. [You can find more about spherical harmonics in the book "Introduction to Quantum Mechanics" by David J. Griffiths. If you can't get a copy. please contact Dr B. Mukeru (mukerb1@unisa.ac.za). Plot this deformed potential and discuss its behavior for 0 = 0, 0 = π/2 and 0 = . Vo 1+ exp[(r-Ro - RTS₂Y20 (0) - RTB4Y40 (0))/a] 154Sm The potential V(r) is known to have barrier height VB associated with a barrier radius Rg, which can be obtained with the following condition dr where = =0⇒ APAT Ap + AT r=RB r=RB (a) Use this equation to obtain RB for 160 + 154Sm and Be + 208 Pb reactions. (b) Obtain the corresponding barrier heights, given by VB = VN (RB) + ZpZre² RB (c) Calculate the corresponding curvatures (2B) defined as dVN(r) + dr NB = ZpZTе² 7.2 is the reduced mass. 1 d² V(r) 1dr2 = 0 |r=RB use WOLFRAM ALPHA PROGRAM (a) On the same graph, plot the potentials Ve(r), Vy (r) and V(r) for 0.1 ≤r≤ 15 fm in a step size of 0.5 fm for the 160+154Sm reaction. In this case you need to write a short in any programming language of your choice to obtain the numerical values to plot. (b) Discuss the behavior of these three potentials. (c) As the nucleus nucleons increase, the nucleus becomes more unstable and therefore assuming a spherical shape for heavy nuclei is less realistic. In such case one has to take into account the deformation or vibration aspects. Suppose that in the 160+154Sm reaction only the target is deformed. Therefore, the nuclear potential becomes VN (r,0) = where is the deformation angle, ₂: 0.306 and ₁ 0.05 are the deformation parameters, and Y20(8), Y40 (0) are spherical harmonics. [You can find more about spherical harmonics in the book "Introduction to Quantum Mechanics" by David J. Griffiths. If you can't get a copy. please contact Dr B. Mukeru (mukerb1@unisa.ac.za). Plot this deformed potential and discuss its behavior for 0 = 0, 0 = π/2 and 0 = . Vo 1+ exp[(r-Ro - RTS₂Y20 (0) - RTB4Y40 (0))/a] 154Sm The potential V(r) is known to have barrier height VB associated with a barrier radius Rg, which can be obtained with the following condition dr where = =0⇒ APAT Ap + AT r=RB r=RB (a) Use this equation to obtain RB for 160 + 154Sm and Be + 208 Pb reactions. (b) Obtain the corresponding barrier heights, given by VB = VN (RB) + ZpZre² RB (c) Calculate the corresponding curvatures (2B) defined as dVN(r) + dr NB = ZpZTе² 7.2 is the reduced mass. 1 d² V(r) 1dr2 = 0 |r=RB
Expert Answer:
Related Book For
Practicing Statistics Guided Investigations for the Second Course
ISBN: 978-0321586018
1st edition
Authors: Shonda Kuiper, Jeff Sklar
Posted Date:
Students also viewed these accounting questions
-
Use FDM to calculate the potentials at nodes 1 and 2 in the potential system shown in figure 30 V - 20 V 20 V 2.
-
Use a spreadsheet or a program like Mathcad to plot the percent deviation of the variation function (8.74) from the true ground-state wave function versus x/l.
-
Use the standard reduction potentials to find the equilibrium constant for each of the following reactions at 25°C: (a) (b) (c) Br2(1) + 21-(aq )- 2Br_(aq) + 12(s) 5Fe2 + (aq) +MnO4 (aq ) + 8H +...
-
The following data have been extracted from the financial statements of Prentiss, Inc., a calendar-year merchandising corporation: Total sales for 2018 were $1,200,000 and for 2017 were $1,100,000....
-
A 0.10 M solution of a base is 2.0% hydrolyzed ( = 0.020). Find Kb.
-
1. On March 1, 2017, Wilkie Inc. issued $4 million of 9% bonds at 103 plus accrued interest. The bonds are dated January 1, 2017 and pay interest semi-annually on July 1 and January 1. In addition,...
-
Pair off in class and practice a salespersons approach to a customer. Develop an approach that lasts 3 minutes and includes a greeting.
-
If you were a chief marketing officer, what metrics might you use to evaluate the performance of the IS organization in your company?
-
how does "coffee culture" vary around the world? Do you think Starbucks will succeed in Italy? Why do entrepreneurs in many parts of the world open coffee shops? What accounts for the popularity of...
-
On December 31, Year 4, RAV Company purchased 60% of the outstanding common shares of ENS Company for $1,260,000. On that date, ENS had common shares of $500,000 and retained earnings of $130,000. In...
-
please help with the coordinates of the remaining corners of the building (A, A', C, C', D'); the side length of the cube; the lengths of the four segments AA', BB', CC', DD'; the area of the...
-
To answer the below questions, you may use the formula: A(n) = P(1 + i)" 4. If you had $450 to invest and you were guaranteed a 4% annual return on investment, how much would you have after 5 years?
-
When preventive detention was initially introduced in Washington DC in the 1970s, the government was limited to detaining criminal suspects to 60 days. When it was introduced at the federal level in...
-
Tina, a sale representative, worked 45 hours a week from Monday to Friday only (as per her contract terms). On 7 th July 2017, Tina received a phone call from a customer to do some marketing in their...
-
What are the complex feedback mechanisms involved in hormonal regulation of the hypothalamic-pituitary-adrenal axis, and how do dysregulations in this axis contribute to stress-related disorders and...
-
You and your partner enjoy playing tennis. You think you are an excellent tennis player with the patience to coach children. You decide you could make some extra money coaching children on a...
-
Compare the pros and cons of each system to show the system's benefits and drawbacks for businesses in the way they handle transaction processing for accounting cycles. Discuss the way artificial...
-
Burberrys competitive advantage is through its differentiation strategy. What risk should Burberry remain aware of?
-
The Kaplan-Meier curve in Figure 9.17 displays hypothetical estimated survival probabilities of death due to brain cancer, where time (from diagnosis) until death is measured in months. Figure 9.17...
-
Compare the three statistical models. Describe the connections among the t-test, ANOVA, and regression. Why are the p-values the same for all three models?
-
a. Use software to draw five random samples, each of size n = 25, from an actual normal probability distribution with mean 0 and standard deviation 1. Create a normal probability plot and histogram...
-
If investors are holding optimal portfolios, how will the portfolios of a more risk averse and a more risk-tolerant investor differ?
-
Using the data from Table 11.3, what is the covariance between the stocks of Alaska Air and Southwest Airlines? Alaska Southwest Ford General Microsoft HP Air Airlines Motor Kellogg Mills Volatility...
-
According to the managerial entrenchment theory, managers choose capital structures so as to preserve their control of the firm. On the one hand, debt is costly for managers because they risk losing...
Study smarter with the SolutionInn App